Question 1

Find the y-intercept for the exponential function  
.

Accepted Answer

The answer of Find the y-intercept for the exponential function...

Question 2

Find the y-intercept for the exponential function  
.

Accepted Answer

The answer of Find the y-intercept for the exponential function...

Question 3

If Gabriel deposits $19,500 in a savings account that earns 1.5% interest per year compounded daily, how much money can he expect to be in the account in 6 years? Round your answer to two decimal places.

Accepted Answer

The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount ($19,500), r is the annual interest rate (1.5% or 0.015), n is the number of times that interest is compounded per year (365, since it's compounded daily), and t is the time the money is invested for (6 years). Plugging these values into the formula gives A = $19,500(1 + 0.015/365)^(365*6), which calculates to approximately $21,336.36.

Question 4

If Ashley deposits $15,000.00 into a savings account that earns 2.4% interest per year compounded monthly, how much money can she expect to be in the account in 6 years? Round your answer to two decimal places.

Accepted Answer

The future value of a compound interest account can be calculated using the formula $A = P(1 + \frac{r}{n})^{nt}$, 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. Plugging in the values: $A = 15000(1 + \frac{0.024}{12})^{12*6}$, calculating this gives approximately $17,320.77.

Question 5

If Vu deposits $5,500.00 in a savings account that earns 4% interest per year compounded quarterly, how much money can she expect to be in the account in 5 years? Round your answer to two decimal places.

Accepted Answer

To calculate the future value of Vu's deposit, we use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount ($5,500.00), r is the annual interest rate (4%, or 0.04 as a decimal), n is the number of times that interest is compounded per year (quarterly, so 4 times), and t is the time the money is invested for (5 years). Plugging in the values: A = $5,500(1 + 0.04/4)^(4*5) = $5,500(1 + 0.01)^20 ≈ $6,711.05.

Question 6

Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

Accepted Answer

The answer of Evaluate exactly (without using a calculator). For...

Question 7

Given f(x) = 4³^{x -}¹ , find f(1.36). Round your answer to two decimal places.

Accepted Answer

The answer of Given f(x) = 4³^{x -}¹ ,...

Question 8

If Alicia deposits $5,600 in a savings account that earns 3.1% interest per year compounded weekly, how much money can she expect to be in the account in 6 years? Round your answer to two decimal places.

Accepted Answer

The answer of If Alicia deposits $5,600 in a savings...

Question 9

Graph the exponential function.

Accepted Answer

The answer of Graph the exponential function.
 ...

Question 10

Use transformation to find the y-intercept and horizontal asymptote and to graph the exponential function.

Accepted Answer

The answer of Use transformation to find the y-intercept and...

Question 11

Graph the exponential function.

Accepted Answer

The answer of Graph the exponential function. 
...

Question 12

Match the graph to the exponential function.

Accepted Answer

The answer of Match the graph to the exponential function....

Question 13

A radioactive isotope of indium-111, ¹¹¹ In, used as a diagnostic tool for locating tumors associated with prostate cancer, has a half-life of 2.807 days. If 250 milligrams are given to a patient, how many milligrams will be left after 12 days?

Accepted Answer

The answer of A radioactive isotope of indium-111, ¹¹¹ In,...

Question 14

If you put $14,100 in a savings account that pays 2.8% a year compounded continuously, how much will you have in the account in 18 years?

Accepted Answer

The formula for continuous compounding is A = Pe^(rt), where P is the principal amount ($14,100), r is the annual interest rate (0.028), and t is the time in years (18). Plugging in these values, A = 14100 * e^(0.028*18) ≈ $23,340.14.

Question 15

Approximate the number e^-3.3. Round your answer to two decimal places.

Accepted Answer

The value of e^-3.3 is approximately 0.037, which rounds to 0.04.

Question 16

Approximate the number  
. Round your answer to two decimal places.

Accepted Answer

The answer of Approximate the number  
. Round your...

Question 17

Approximate the number  
. Round your answer to two decimal places.

Accepted Answer

The answer of Approximate the number  
. Round your...

Question 18

Approximate the number  
. Round your answer to two decimal places.

Accepted Answer

The answer of Approximate the number  
. Round your...

Question 19

For the exponential function  
, state the y-intercept. Round your answer to two decimal places.

Accepted Answer

The answer of For the exponential function  
, state...

Question 20

For the exponential function  
, state the y-intercept. Round your answer to two decimal places.

Accepted Answer

The answer of For the exponential function  
, state...

Quiz 3: Exponential and Logarithmic Functions

Find the y-intercept for the exponential function .

Find the y-intercept for the exponential function .

If Gabriel deposits $19,500 in a savings account that earns 1.5% interest per year compounded daily, how much money can he expect to be in the account in 6 years? Round your answer to two decimal places.

If Ashley deposits $15,000.00 into a savings account that earns 2.4% interest per year compounded monthly, how much money can she expect to be in the account in 6 years? Round your answer to two decimal places.

If Vu deposits $5,500.00 in a savings account that earns 4% interest per year compounded quarterly, how much money can she expect to be in the account in 5 years? Round your answer to two decimal places.

Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

Given f(x) = 43x - 1 , find f(1.36). Round your answer to two decimal places.

If Alicia deposits $5,600 in a savings account that earns 3.1% interest per year compounded weekly, how much money can she expect to be in the account in 6 years? Round your answer to two decimal places.

Graph the exponential function.

Use transformation to find the y-intercept and horizontal asymptote and to graph the exponential function.

Graph the exponential function.

Match the graph to the exponential function.

A radioactive isotope of indium-111, 111 In, used as a diagnostic tool for locating tumors associated with prostate cancer, has a half-life of 2.807 days. If 250 milligrams are given to a patient, how many milligrams will be left after 12 days?

If you put $14,100 in a savings account that pays 2.8% a year compounded continuously, how much will you have in the account in 18 years?

Approximate the number e-3.3. Round your answer to two decimal places.

Approximate the number . Round your answer to two decimal places.

Approximate the number . Round your answer to two decimal places.

Approximate the number . Round your answer to two decimal places.

For the exponential function , state the y-intercept. Round your answer to two decimal places.

For the exponential function , state the y-intercept. Round your answer to two decimal places.

Given f(x) = 4³^{x -}¹ , find f(1.36). Round your answer to two decimal places.

A radioactive isotope of indium-111, ¹¹¹ In, used as a diagnostic tool for locating tumors associated with prostate cancer, has a half-life of 2.807 days. If 250 milligrams are given to a patient, how many milligrams will be left after 12 days?

Approximate the number e^-3.3. Round your answer to two decimal places.