Question 1

The above graph is best represented by

Accepted Answer

A

Question 2

The population of a city is given by P = 10,000(1.0  
where t is the number of years after 1988.Find the population in
(a)1988
(b)1989
(c)1990.

Accepted Answer

(a)10,000
(b)10,400
(c)10,816

Question 3

Graph y = f(x)=  
.

Accepted Answer

The answer of Graph y = f(x)=  
. ...

Question 4

Graph y = f(x)=  
.

Accepted Answer

The answer of Graph y = f(x)=  
. ...

Question 5

The population of a city is given by P = 1,000,000(1.0  where t is the number of years after 1987.The population in 1989 was

Accepted Answer

The answer of The population of a city is given...

Question 6

If $10,000 is invested at 16% compounded quarterly,then the compound amount at the end of six years is

Accepted Answer

To find the compound amount at the end of six years for an investment of $10,000 at 16% interest compounded quarterly, we use the formula for compound interest: $A = P(1 + \frac{r}{n})^{nt}$, where $A$ is the amount of money accumulated after n years, including interest, $P$ is the principal amount (the initial amount of money), $r$ is the annual interest rate (decimal), $n$ is the number of times that interest is compounded per year, and $t$ is the time the money is invested for in years.Given:- $P = $10,000$- $r = 16\% = 0.16$- $n = 4$ (since the interest is compounded quarterly)- $t = 6$ yearsPlugging these values into the formula gives us:$$A = 10000(1 + \frac{0.16}{4})^{4*6}$$$$A = 10000(1 + 0.04)^{24}$$$$A = 10000(1.04)^{24}$$$$A = 10000(2.563304)$$$$A = $25,633.04$$Therefore, the correct answer is $25,633.04.

Question 7

For the function f(x)=  
,
(a)what is the domain of f?
(b)what is the range of f?

Accepted Answer

The answer of For the function f(x)=  
,
(a)what is...

Question 8

Of the following the best approximation of e is

Accepted Answer

The value of e is approximately equal to 2.718. Among the given choices, the closest value to 2.718 is 2.7. Therefore, choice D is the best approximation of e.

Question 9

If $400 is invested for 2 years at 6% compounded semiannually,find
(a)the compound amount and
(b)the compound interest.

Accepted Answer

The answer of If $400 is invested for 2 years...

Question 10

If $2000 is invested for 3 years at 8% compounded quarterly,find
(a)the compound amount and
(b)the compound interest.

Accepted Answer

The answer of If $2000 is invested for 3 years...

Question 11

If $1000 is invested for 2 years at 6% compounded quarterly,then the compound amount at the end of the period is

Accepted Answer

We can use the formula for compound interest:

$$A=P\left(1+\frac{r}{n}\right)^{nt}$$

where $A$ is the amount, $P$ is the principal, $r$ is the annual interest rate (as a decimal), $n$ is the number of times the interest is compounded per year, and $t$ is the time in years.

Plugging in the values given, we get:

$$A = 1000\left(1+\frac{0.06}{4}\right)^{(4)(2)}\approx 1126.49$$

Therefore, the best choice is (C).

Question 12

Suppose $5000 is deposited in a savings account that earns 10% compounded semiannually.What is the value of the account at the end of 6 years? Assume no other deposits or withdrawals.

Accepted Answer

The answer of Suppose $5000 is deposited in a savings...

Question 13

Which of the following is true? If f(x)=  ,then

Accepted Answer

The answer of Which of the following is true? If...

Question 14

Find the equations of the graph that is obtained from the graph of y =  
shifted
(a)3 units down;
(b)3 units to the right.

Accepted Answer

The answer of Find the equations of the graph that...

Question 15

The population of a city is given by P = 100,000(1.0  
where t is the number of years after 1988.Find the population in
(a)1988
(b)1989
(c)1990.

Accepted Answer

The answer of The population of a city is given...

Question 16

If $500 is invested for 3 years at 7% compounded semiannually,then the compound interest at the end of the period is

Accepted Answer

The correct answer is B.The formula for compound interest is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times per year that the interest is compounded, and t is the number of years.In this case, P = $500, r = 7%, n = 2 (since the interest is compounded semiannually), and t = 3. Plugging these values into the formula, we get:A = 500(1 + 0.07/2)^(2*3)= 500(1.035)^6= 500(1.2256)= $614.63The compound interest is the difference between the final amount and the principal, which is $614.63 - $500 = $114.63.

Question 17

Suppose that the number of patients admitted into a hospital emergency room during a certain hour of the day has a Poisson distribution with mean 3.Find the probability that during that hour there will be exactly two emergency patients.Assume that  
= 0.05.

Accepted Answer

The answer of Suppose that the number of patients admitted...

Question 18

A radioactive element is such that N grams remain after t hours,where  
How many grams remain after 30 hours?

Accepted Answer

The answer of A radioactive element is such that N...

Question 19

A trust fund is being set up by a single payment so that at the end of 30 years there will be $20,000 in the fund.If the interest rate is 8% compounded quarterly,how much money should be paid initially into the trust fund?

Accepted Answer

The answer of A trust fund is being set up...

Question 20

For the function f(x)=  
  
,
(a)what is the domain of f?
(b)What is the range of f?

Accepted Answer

The answer of For the function f(x)=  
 ...

Quiz 5: Exponential and Logarithmic Functions

The above graph is best represented by

The population of a city is given by P = 10,000(1.0 where t is the number of years after 1988.Find the population in (a)1988 (b)1989 (c)1990.

Graph y = f(x)= .

Graph y = f(x)= .

The population of a city is given by P = 1,000,000(1.0 where t is the number of years after 1987.The population in 1989 was

If $10,000 is invested at 16% compounded quarterly,then the compound amount at the end of six years is

For the function f(x)= , (a)what is the domain of f? (b)what is the range of f?

Of the following the best approximation of e is

If $400 is invested for 2 years at 6% compounded semiannually,find (a)the compound amount and (b)the compound interest.

If $2000 is invested for 3 years at 8% compounded quarterly,find (a)the compound amount and (b)the compound interest.

If $1000 is invested for 2 years at 6% compounded quarterly,then the compound amount at the end of the period is

Suppose $5000 is deposited in a savings account that earns 10% compounded semiannually.What is the value of the account at the end of 6 years? Assume no other deposits or withdrawals.

Which of the following is true? If f(x) = ,then

Find the equations of the graph that is obtained from the graph of y = shifted (a)3 units down; (b)3 units to the right.

The population of a city is given by P = 100,000(1.0 where t is the number of years after 1988.Find the population in (a)1988 (b)1989 (c)1990.

If $500 is invested for 3 years at 7% compounded semiannually,then the compound interest at the end of the period is

Suppose that the number of patients admitted into a hospital emergency room during a certain hour of the day has a Poisson distribution with mean 3.Find the probability that during that hour there will be exactly two emergency patients.Assume that = 0.05.

A radioactive element is such that N grams remain after t hours,where How many grams remain after 30 hours?

A trust fund is being set up by a single payment so that at the end of 30 years there will be $20,000 in the fund.If the interest rate is 8% compounded quarterly,how much money should be paid initially into the trust fund?

For the function f(x)= , (a)what is the domain of f? (b)What is the range of f?