Question 1

Use a calculator to find the value, if possible. Express the answer to four decimal places. $\ln 37.15$

Accepted Answer

The answer of Use a calculator to find the value,...

Question 2

A population growing continuously at an annual rate r will triple in a time t given by the formula $t = \frac { \ln 3 } { r }$ . How long will it take the population of a town to triple if it is growing at the rate of 13% per year?
 Please round the answer to one decimal place. __________ yr

Accepted Answer

The answer of A population growing continuously at an annual...

Question 3

Find A using the formula $A = p e ^ { y t }$ given the following values of  $~ P $, $r$ , and $t$ . $P = 9000$ , $r = 0.03$ , $t = 20$ Please round the answer to the nearest hundredth. __________

Accepted Answer

The answer of Find A using the formula \(A =...

Question 4

Like $\pi$ , the number e is a(n) __________ number.

Accepted Answer

The answer of Like $\pi$ , the number e is...

Question 5

Evaluate expression without using a calculator. $\ln e ^ { 3 }$

Accepted Answer

The answer of Evaluate expression without using a calculator. \(\ln...

Question 6

An account now contains $11150 and has been accumulating interest at 7.2% annual interest, compounded continuously, for 7 years. Find the initial deposit. Please round the answer to the nearest cent. $__________

Accepted Answer

The answer of An account now contains $11150 and has...

Question 7

Evaluate expression without using a calculator. $\ln e ^ { 4 }$

Accepted Answer

The answer of Evaluate expression without using a calculator. \(\ln...

Question 8

The spread of hoof and mouth disease through a herd of cattle can be modeled by the formula $P = 2 e ^ { 0.27 t }$ ( t is in days). If a rancher does not act quickly to treat two cases, how many cattle will have the disease in 19 days?
 Please round the answer to the nearest integer. __________

Accepted Answer

The answer of The spread of hoof and mouth disease...

Question 9

Evaluate expression without using a calculator. $\ln \frac { 1 } { e ^ { 10 } }$

Accepted Answer

The answer of Evaluate expression without using a calculator. \(\ln...

Question 10

To estimate the number of hours t that a murder victim had been dead, a coroner used the formula $t = \frac { 1 } { 0.25 } \ln \frac { 98.6 - T _ { s } } { 82 - T _ { s } }$ where $T _ { s }$ is the temperature of the surroundings where the body was found. If the crime took place in an apartment where the thermostat was set at $74 ^ { \circ } \mathrm { F }$ , approximately how long ago did the murder occur?
 Please round the answer to one decimal place. about __________ hours ago

Accepted Answer

The answer of To estimate the number of hours t...

Question 11

Find the length of time for $25000 to triple when it is invested at 5% annual interest, compounded continuously. Please round the answer to one decimal place. __________ yr

Accepted Answer

The answer of Find the length of time for $25000...

Question 12

An initial deposit of $4,800 grows at an annual rate of 8.5% for 5 years. Compare the final balances resulting from annual compounding and continuous compounding.

Accepted Answer

The answer of An initial deposit of $4,800 grows at...

Question 13

The population of the earth is approximately 6.1 billion people and is growing at an annual rate of 1.4%. Assuming a Malthusian growth model, find the world population in 28 years.

Accepted Answer

The answer of The population of the earth is approximately...

Question 14

An initial investment of $5,100 earns 8.5% interest, compounded continuously. What will the investment be worth in 12 years?

Accepted Answer

The answer of An initial investment of $5,100 earns 8.5%...

Question 15

An account now contains $11,160 and has been accumulating interest at 7.2% annual interest, compounded continuously, for 7 years. Find the initial deposit.

Accepted Answer

The answer of An account now contains $11,160 and has...

Question 16

What is the name of the function $f ( x ) = e ^ { x }$ ?

Accepted Answer

The answer of What is the name of the function...

Question 17

What is the x -intercept of the graph?

Accepted Answer

The answer of What is the x -intercept of the...

Question 18

What is the formula for exponential growth/decay?
 (Let P be a quantity that increases or decreases at annual rate r , compounded continuously, and A the amount after t years.)

Accepted Answer

The answer of What is the formula for exponential growth/decay?
...

Question 19

What is the domain of the function $f ( x ) = e ^ { x }$ ?

Accepted Answer

The answer of What is the domain of the function...

Question 20

The function $f ( x ) = e ^ { x }$ is graphed and the TRACE feature is used. What is the y -coordinate of the point on the graph having an x-coordinate of 1?
 What is the symbol that represents this number?
  The $y$ -coordinate (to seven decimal places) is __________. It is named __________.

Accepted Answer

The answer of The function \(f ( x ) =...

Quiz 9: Exponential and Logarithmic Functions

Use a calculator to find the value, if possible. Express the answer to four decimal places. $\ln 37.15$

A population growing continuously at an annual rate r will triple in a time t given by the formula $t = \frac { \ln 3 } { r }$ . How long will it take the population of a town to triple if it is growing at the rate of 13% per year? Please round the answer to one decimal place. __________ yr

Find A using the formula $A = p e ^ { y t }$ given the following values of $~ P$ , $r$ , and $t$ . $P = 9000$ , $r = 0.03$ , $t = 20$ Please round the answer to the nearest hundredth. __________

Like $\pi$ , the number e is a(n) __________ number.

Evaluate expression without using a calculator. $\ln e ^ { 3 }$

An account now contains $11150 and has been accumulating interest at 7.2% annual interest, compounded continuously, for 7 years. Find the initial deposit. Please round the answer to the nearest cent. $__________

Evaluate expression without using a calculator. $\ln e ^ { 4 }$

The spread of hoof and mouth disease through a herd of cattle can be modeled by the formula $P = 2 e ^ { 0.27 t }$ ( t is in days). If a rancher does not act quickly to treat two cases, how many cattle will have the disease in 19 days? Please round the answer to the nearest integer. __________

Evaluate expression without using a calculator. $\ln \frac { 1 } { e ^ { 10 } }$

Find the length of time for $25000 to triple when it is invested at 5% annual interest, compounded continuously. Please round the answer to one decimal place. __________ yr

An initial deposit of $4,800 grows at an annual rate of 8.5% for 5 years. Compare the final balances resulting from annual compounding and continuous compounding.

The population of the earth is approximately 6.1 billion people and is growing at an annual rate of 1.4%. Assuming a Malthusian growth model, find the world population in 28 years.

An initial investment of $5,100 earns 8.5% interest, compounded continuously. What will the investment be worth in 12 years?

An account now contains $11,160 and has been accumulating interest at 7.2% annual interest, compounded continuously, for 7 years. Find the initial deposit.

What is the name of the function $f ( x ) = e ^ { x }$ ? $What is the name of the function f ( x ) = e ^ { x } ?$

What is the x -intercept of the graph?

What is the formula for exponential growth/decay? (Let P be a quantity that increases or decreases at annual rate r , compounded continuously, and A the amount after t years.)

What is the domain of the function $f ( x ) = e ^ { x }$ ? $What is the domain of the function f ( x ) = e ^ { x } ?$

Quiz 9: Exponential and Logarithmic Functions

Use a calculator to find the value, if possible. Express the answer to four decimal places. ln⁡37.15\ln 37.15ln37.15

Find A using the formula A=peytA = p e ^ { y t }A=peyt given the following values of P~ P P , rrr , and ttt . P=9000P = 9000P=9000 , r=0.03r = 0.03r=0.03 , t=20t = 20t=20 Please round the answer to the nearest hundredth. __________

Like π\piπ , the number e is a(n) __________ number.

Evaluate expression without using a calculator. ln⁡e3\ln e ^ { 3 }lne3

An account now contains $11150 and has been accumulating interest at 7.2% annual interest, compounded continuously, for 7 years. Find the initial deposit. Please round the answer to the nearest cent. $__________

Evaluate expression without using a calculator. ln⁡e4\ln e ^ { 4 }lne4

Evaluate expression without using a calculator. ln⁡1e10\ln \frac { 1 } { e ^ { 10 } }lne101​

Find the length of time for $25000 to triple when it is invested at 5% annual interest, compounded continuously. Please round the answer to one decimal place. __________ yr

An initial deposit of $4,800 grows at an annual rate of 8.5% for 5 years. Compare the final balances resulting from annual compounding and continuous compounding.

The population of the earth is approximately 6.1 billion people and is growing at an annual rate of 1.4%. Assuming a Malthusian growth model, find the world population in 28 years.

An initial investment of $5,100 earns 8.5% interest, compounded continuously. What will the investment be worth in 12 years?

An account now contains $11,160 and has been accumulating interest at 7.2% annual interest, compounded continuously, for 7 years. Find the initial deposit.

What is the name of the function f(x)=exf ( x ) = e ^ { x }f(x)=ex ?

What is the x -intercept of the graph?

What is the formula for exponential growth/decay? (Let P be a quantity that increases or decreases at annual rate r , compounded continuously, and A the amount after t years.)

What is the domain of the function f(x)=exf ( x ) = e ^ { x }f(x)=ex ?

Use a calculator to find the value, if possible. Express the answer to four decimal places. $\ln 37.15$

Find A using the formula $A = p e ^ { y t }$ given the following values of $~ P$ , $r$ , and $t$ . $P = 9000$ , $r = 0.03$ , $t = 20$ Please round the answer to the nearest hundredth. __________

Like $\pi$ , the number e is a(n) __________ number.

Evaluate expression without using a calculator. $\ln e ^ { 3 }$

Evaluate expression without using a calculator. $\ln e ^ { 4 }$

Evaluate expression without using a calculator. $\ln \frac { 1 } { e ^ { 10 } }$

What is the name of the function $f ( x ) = e ^ { x }$ ? $What is the name of the function f ( x ) = e ^ { x } ?$

What is the domain of the function $f ( x ) = e ^ { x }$ ? $What is the domain of the function f ( x ) = e ^ { x } ?$