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Deck 5: Exponential-And-Logarithmic-Functions
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Question
If $1 is invested in an account over a 10-year period, the amount in the account, where t represents the time in years, is given by 
depending on whether the account pays simple interest at 
or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate?
A)
B)
C)
D)
E)
depending on whether the account pays simple interest at or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate? A)
B)
C)
D)
E)
Question
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Question
The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by 
where t represents the year, with 
corresponding to 2000.In 2005, the population of Reno was about 395,000.According to the model, during what year will the population reach 486,000.00?
A)2013
B)2005
C)2021
D)2017
E)2009
where t represents the year, with corresponding to 2000.In 2005, the population of Reno was about 395,000.According to the model, during what year will the population reach 486,000.00? A)2013
B)2005
C)2021
D)2017
E)2009
Question
Select a scatter plot of the given data.
R
t 
A)
B)
C)
D)
E)
R
t
A)
B)
C)
D)
E)
Question
The population P of a culture of bacteria is described by the equation 
, where t is the time, in hours, relative to the time at which the population was 1300.What was the population at 
hours?
A)
B)
C)
D)
E)
, where t is the time, in hours, relative to the time at which the population was 1300.What was the population at hours? A)
B)
C)
D)
E)
Question
The population P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by 
where t represents the year, with 
corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k.
A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
where t represents the year, with corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k. A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
Question
Find the exponential model 
that fits the points shown in the graph. 
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
Question
Question
The population P of a bacteria culture is modeled by 
, where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.
A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
, where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
Question
Find the exponential model 
that fits the points shown in the graph. 
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
Question
Question
Determine the principal that must be invested at rate r, compounded monthly, so that 
will be available for retirement in t years. 
A)
B)
C)
D)
E)
will be available for retirement in t years. A)
B)
C)
D)
E)
Question
The value V (in millions of dollars) of a famous painting can be modeled by 
where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.)
A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.) A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
Question
Select the correct graph for the given function 
A)
B) 
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the correct graph for the given function
A) 
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The number y of hits a new search-engine website receives each month can be modeled by 
where t represents the number of months the website has been operating.In the website's third month, there were 10,000 hits.Find the value of k, and use this value to predict the number of hits the website will receive after 22 months.
A)
; About 184,894,691,979 hits
B)
; About 2,921,047 hits
C)
; About 22,832,533,585 hits
D)
; About 57,970,933 hits
E)
; About 1,150,488,266 hits
where t represents the number of months the website has been operating.In the website's third month, there were 10,000 hits.Find the value of k, and use this value to predict the number of hits the website will receive after 22 months. A)
; About 184,894,691,979 hitsB)
; About 2,921,047 hitsC)
; About 22,832,533,585 hitsD)
; About 57,970,933 hitsE)
; About 1,150,488,266 hits Question
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the intensity I of an earthquake measuring R on the Richter scale 
.
Southern Sumatra, Indonesia in 2007,
A)
B)
C)
D)
E)
. Southern Sumatra, Indonesia in 2007,
A)
B)
C)
D)
E)
Question
The population P of a culture of bacteria is described by the equation 
, where t is the time, in hours, relative to the time at which the population was 1600.
(a) What was the population at
hours? Show your work.
(b) After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
, where t is the time, in hours, relative to the time at which the population was 1600.(a) What was the population at
hours? Show your work.(b) After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
Question
Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation 
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.
A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
Question
Question
A population growing at an annual rate r will triple in a time t given by the formula 
.If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple?
A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
.If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple? A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
Question
Find the magnitude R of an earthquake of intensity 
. 
A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
. A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
Question
Solve for x. 
A)4
B)
C)7
D)3
E)
A)4
B)
C)7
D)3
E)
Question
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones.The numbers of cell sites from 1985 through 2008 can be modeled by 
where t represents the year, with 
corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 .
A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
where t represents the year, with corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 . A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
Question
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution.What is 
if the 
?
A)3.800
B)
C)
D)
E)
, where is the hydrogen ion concentration in the solution.What is if the ?A)3.800
B)
C)
D)
E)
Question
Determine whether the given x-value is a solution (or an approximate solution) of the equation. 
A)No
B)Yes
A)No
B)Yes
Question
Find the magnitude R of an earthquake of intensity 
. 
A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
. A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
Question
Question
Find the intensity I of an earthquake measuring R on the Richter scale 
.
Costa Rica in 2009,
A)
B)
C)
D)
E)
. Costa Rica in 2009,
A)
B)
C)
D)
E)
Question
Solve for x. 
A)8
B)2
C)-2
D)-6
E)6
A)8
B)2
C)-2
D)-6
E)6
Question
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution.What is 
if the 
?
A)
B)
C)
D)
E)6.800
, where is the hydrogen ion concentration in the solution.What is if the ?A)
B)
C)
D)
E)6.800
Question
Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation 
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.
A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
Question
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its 
than pure water's, which has a pH of 7?
A)
B)
C)7
D)
E)
, where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)7
D)
E)
Question
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3, how many times higher is its 
than pure water's, which has a pH of 7?
A)
B)
C)
D)
E)7
, where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)
D)
E)7
Question
The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modeled by 
where t represents the year, with 
corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
where t represents the year, with corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
Question
Determine whether the given x-value is a solution (or an approximate solution) of the equation. 
A)No
B)Yes
A)No
B)Yes
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve for x.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)10
B)11
C)9
D)-9
E)12
A)10
B)11
C)9
D)-9
E)12
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve for x.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve for x. 
A)
B)
C)
D)
E)5
A)
B)
C)
D)
E)5
Question
Solve for x. 
A)
B)0.0001
C)
D)
E)1.386
A)
B)0.0001
C)
D)
E)1.386
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve for x.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)8
B)6
C)-1
D)7
E)9
A)8
B)6
C)-1
D)7
E)9
Question
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
$3000 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to triple.(Approximate the result to two decimal places.) 
A)37.62 yr
B)36.62 yr
C)35.62 yr
D)34.62 yr
E)38.62 yr
A)37.62 yr
B)36.62 yr
C)35.62 yr
D)34.62 yr
E)38.62 yr
Question
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
$4500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to triple.(Approximate the result to two decimal places.) 
A)21.00 yr
B)20.00 yr
C)34.88 yr
D)24.00 yr
E)23.00 yr
A)21.00 yr
B)20.00 yr
C)34.88 yr
D)24.00 yr
E)23.00 yr
Question
Solve the equation algebraically.Round the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
$5500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.) 
A)13.84 yr
B)10.84 yr
C)12.84 yr
D)11.84 yr
E)14.84 yr
A)13.84 yr
B)10.84 yr
C)12.84 yr
D)11.84 yr
E)14.84 yr
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Determine whether or not 
is a solution to 
.
A)no
B)yes
is a solution to .A)no
B)yes
Question
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)1,000
B)1,000,000
C)10,000
D)100,000
E)100
A)1,000
B)1,000,000
C)10,000
D)100,000
E)100
Question
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
$2500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.) 
A)13.55 yr
B)10.55 yr
C)12.55 yr
D)9.55 yr
E)11.55 yr
A)13.55 yr
B)10.55 yr
C)12.55 yr
D)9.55 yr
E)11.55 yr
Question
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve 
for x.
A)-3
B)-4
C)-1
D)1
E)no solution
for x.A)-3
B)-4
C)-1
D)1
E)no solution
Question
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Deck 5: Exponential-And-Logarithmic-Functions
1
If $1 is invested in an account over a 10-year period, the amount in the account, where t represents the time in years, is given by depending on whether the account pays simple interest at or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate?
A)
B)
C)
D)
E)
depending on whether the account pays simple interest at or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate? A)
B)
C)
D)
E)
2
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
An initial investment of $4000 grows at an annual interest rate of 5% compounded continuously.How long will it take to double the investment?
A)1 year
B)14.40 years
C)13.86 years
D)14.86 years
E)13.40 years
A)1 year
B)14.40 years
C)13.86 years
D)14.86 years
E)13.40 years
13.86 years
4
The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by where t represents the year, with corresponding to 2000.In 2005, the population of Reno was about 395,000.According to the model, during what year will the population reach 486,000.00?
A)2013
B)2005
C)2021
D)2017
E)2009
where t represents the year, with corresponding to 2000.In 2005, the population of Reno was about 395,000.According to the model, during what year will the population reach 486,000.00? A)2013
B)2005
C)2021
D)2017
E)2009
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5
Select a scatter plot of the given data.
R t
A)
B)
C)
D)
E)
R
t
A)
B)
C)
D)
E)
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6
The population P of a culture of bacteria is described by the equation , where t is the time, in hours, relative to the time at which the population was 1300.What was the population at hours?
A)
B)
C)
D)
E)
, where t is the time, in hours, relative to the time at which the population was 1300.What was the population at hours? A)
B)
C)
D)
E)
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7
The population P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by where t represents the year, with corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k.
A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
where t represents the year, with corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k. A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
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8
Find the exponential model that fits the points shown in the graph.
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
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9
An initial investment of $5000 doubles in value in 6.3 years.Assuming continuous compounding, what was the interest rate? Round to the nearest tenth of a percent.
A)11.0%
B)4.8%
C)5.5%
D)6.3%
E)100%
A)11.0%
B)4.8%
C)5.5%
D)6.3%
E)100%
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10
The population P of a bacteria culture is modeled by , where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.
A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
, where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
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k this deck
11
Find the exponential model that fits the points shown in the graph.
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
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k this deck
12
Which investment option will pay the most interest?
A)10.2% compounded quarterly
B)10.4% compounded semiannually
C)10.0% compounded continuously
D)These investments all pay the same amount of interest.
E)10.6% compounded annually
A)10.2% compounded quarterly
B)10.4% compounded semiannually
C)10.0% compounded continuously
D)These investments all pay the same amount of interest.
E)10.6% compounded annually
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k this deck
13
Determine the principal that must be invested at rate r, compounded monthly, so that will be available for retirement in t years.
A)
B)
C)
D)
E)
will be available for retirement in t years. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
14
The value V (in millions of dollars) of a famous painting can be modeled by where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.)
A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.) A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
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Unlock for access to all 261 flashcards in this deck.
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k this deck
15
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
16
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
17
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
18
The number y of hits a new search-engine website receives each month can be modeled by where t represents the number of months the website has been operating.In the website's third month, there were 10,000 hits.Find the value of k, and use this value to predict the number of hits the website will receive after 22 months.
A) ; About 184,894,691,979 hits
B) ; About 2,921,047 hits
C) ; About 22,832,533,585 hits
D) ; About 57,970,933 hits
E) ; About 1,150,488,266 hits
where t represents the number of months the website has been operating.In the website's third month, there were 10,000 hits.Find the value of k, and use this value to predict the number of hits the website will receive after 22 months. A)
; About 184,894,691,979 hitsB)
; About 2,921,047 hitsC)
; About 22,832,533,585 hitsD)
; About 57,970,933 hitsE)
; About 1,150,488,266 hits Unlock Deck
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k this deck
19
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
20
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
21
Find the intensity I of an earthquake measuring R on the Richter scale .
Southern Sumatra, Indonesia in 2007,
A)
B)
C)
D)
E)
. Southern Sumatra, Indonesia in 2007,
A)
B)
C)
D)
E)
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k this deck
22
The population P of a culture of bacteria is described by the equation , where t is the time, in hours, relative to the time at which the population was 1600.
(a) What was the population at hours? Show your work.
(b) After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
, where t is the time, in hours, relative to the time at which the population was 1600.(a) What was the population at
hours? Show your work.(b) After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
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k this deck
23
Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation , where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.
A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
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k this deck
24
An initial investment of $2000 grows at an annual interest rate of 4% compounded continuously.How long will it take to double the investment?
A)17.33 years
B)18.33 years
C)18.00 years
D)17.00 years
E)1 year
A)17.33 years
B)18.33 years
C)18.00 years
D)17.00 years
E)1 year
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k this deck
25
A population growing at an annual rate r will triple in a time t given by the formula .If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple?
A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
.If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple? A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
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k this deck
26
Find the magnitude R of an earthquake of intensity .
A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
. A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
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k this deck
27
Solve for x.
A)4
B)
C)7
D)3
E)
A)4
B)
C)7
D)3
E)
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Unlock Deck
k this deck
28
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones.The numbers of cell sites from 1985 through 2008 can be modeled by where t represents the year, with corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 .
A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
where t represents the year, with corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 . A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
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Unlock Deck
k this deck
29
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution.What is if the ?
A)3.800
B)
C)
D)
E)
, where is the hydrogen ion concentration in the solution.What is if the ?A)3.800
B)
C)
D)
E)
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k this deck
30
Determine whether the given x-value is a solution (or an approximate solution) of the equation.
A)No
B)Yes
A)No
B)Yes
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k this deck
31
Find the magnitude R of an earthquake of intensity .
A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
. A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
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Unlock Deck
k this deck
32
Tritium, a radioactive isotope of hydrogen, has a half-life of 12.4 years.Of an initial sample of 33 grams, how much will remain after 69 years?
A)0 grams
B)29.1351 grams
C)10.9074 grams
D)8.2500 grams
E)0.6973 grams
A)0 grams
B)29.1351 grams
C)10.9074 grams
D)8.2500 grams
E)0.6973 grams
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k this deck
33
Find the intensity I of an earthquake measuring R on the Richter scale .
Costa Rica in 2009,
A)
B)
C)
D)
E)
. Costa Rica in 2009,
A)
B)
C)
D)
E)
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k this deck
34
Solve for x.
A)8
B)2
C)-2
D)-6
E)6
A)8
B)2
C)-2
D)-6
E)6
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Unlock Deck
k this deck
35
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution.What is if the ?
A)
B)
C)
D)
E)6.800
, where is the hydrogen ion concentration in the solution.What is if the ?A)
B)
C)
D)
E)6.800
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
36
Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation , where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.
A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
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Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
37
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its than pure water's, which has a pH of 7?
A)
B)
C)7
D)
E)
, where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)7
D)
E)
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k this deck
38
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?
A)
B)
C)
D)
E)7
, where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)
D)
E)7
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Unlock Deck
k this deck
39
The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modeled by where t represents the year, with corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
where t represents the year, with corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
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k this deck
40
Determine whether the given x-value is a solution (or an approximate solution) of the equation.
A)No
B)Yes
A)No
B)Yes
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k this deck
41
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
42
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
43
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
44
Solve for x.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
45
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
46
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)10
B)11
C)9
D)-9
E)12
A)10
B)11
C)9
D)-9
E)12
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k this deck
47
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
48
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
49
Solve for x.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
50
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
51
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
52
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
53
Solve for x.
A)
B)
C)
D)
E)5
A)
B)
C)
D)
E)5
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k this deck
54
Solve for x.
A)
B)0.0001
C)
D)
E)1.386
A)
B)0.0001
C)
D)
E)1.386
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Unlock Deck
k this deck
55
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
56
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
57
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
58
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
59
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
60
Solve for x.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
61
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)8
B)6
C)-1
D)7
E)9
A)8
B)6
C)-1
D)7
E)9
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Unlock Deck
k this deck
62
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
63
$3000 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to triple.(Approximate the result to two decimal places.)
A)37.62 yr
B)36.62 yr
C)35.62 yr
D)34.62 yr
E)38.62 yr
A)37.62 yr
B)36.62 yr
C)35.62 yr
D)34.62 yr
E)38.62 yr
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
64
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
65
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
66
$4500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to triple.(Approximate the result to two decimal places.)
A)21.00 yr
B)20.00 yr
C)34.88 yr
D)24.00 yr
E)23.00 yr
A)21.00 yr
B)20.00 yr
C)34.88 yr
D)24.00 yr
E)23.00 yr
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k this deck
67
Solve the equation algebraically.Round the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
68
$5500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.)
A)13.84 yr
B)10.84 yr
C)12.84 yr
D)11.84 yr
E)14.84 yr
A)13.84 yr
B)10.84 yr
C)12.84 yr
D)11.84 yr
E)14.84 yr
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k this deck
69
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
70
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
71
Determine whether or not is a solution to .
A)no
B)yes
is a solution to .A)no
B)yes
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Unlock Deck
k this deck
72
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
73
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
74
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
75
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)1,000
B)1,000,000
C)10,000
D)100,000
E)100
A)1,000
B)1,000,000
C)10,000
D)100,000
E)100
Unlock Deck
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Unlock Deck
k this deck
76
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
77
$2500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.)
A)13.55 yr
B)10.55 yr
C)12.55 yr
D)9.55 yr
E)11.55 yr
A)13.55 yr
B)10.55 yr
C)12.55 yr
D)9.55 yr
E)11.55 yr
Unlock Deck
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Unlock Deck
k this deck
78
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
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79
Solve for x.
A)-3
B)-4
C)-1
D)1
E)no solution
for x.A)-3
B)-4
C)-1
D)1
E)no solution
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
80
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 261 flashcards in this deck.
