Question 1

Determine the doubling time of the investment.
-4.09% APR compounded quarterly

Accepted Answer

A)  13.63 years 
B)  34.07 years 
C)  17.03 years 
D)  25.55 years

Question 2

Solve the problem.
-Suppose you purchase a new car for $27,200. What are the monthly payments for a 4-year loan with a $2,000 down payment if the annual interest rate is 4.5%?

Accepted Answer

A)  $689.58 
B)  $459.72 
C)  $574.65 
D)  $804.51

Question 3

Solve the problem.
-The half-life of an element is $5.1 \times 10 ^ { 8 } \mathrm { yr }$. How long does it take a sample of the element to decay to $\frac { 2 } { 5 }$ of its original mass? (Express results in scientific notation, rounded to the nearest hundredth.)

Accepted Answer

A)  $5.80 \times 10 ^ { 8 } \mathrm { yr }$ 
B)  $6.74 \times 10 ^ { 8 } \mathrm { yr }$ 
C)  $1.14 \times 10 ^ { 8 } \mathrm { yr }$ 
D)  $3.24 \times 10 ^ { 8 } \mathrm { yr }$

Question 4

Choose the graph which matches the function.
-$$f ( x ) = 2 ^ { - x } - 1$$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 5

Use a calculator to find an approximate solution to the equation.
-7ln (x + 2.8) = 11.2

Accepted Answer

A)  -2.598 
B)  1.221 
C)  2.153 
D)  No solution

Question 6

Solve the problem.
-A certain noise produces $1.49 \times 10 ^ { - 5 } \mathrm { Watts } / \mathrm { m } ^ { 2 }$ of power. What is the decibel level of this noise? The level of sound intensity in decibels $( \mathrm { dB } )$ is $\beta = 10 \log \left( \mathrm { I } / \mathrm { I } _ { 0 } \right)$, where $\beta$ (beta) is the number of decibels, I is the sound intensity in $\mathrm { W } / \mathrm { m } ^ { 2 }$, and $\mathrm { I } _ { 0 } = 10 ^ { - 12 } \mathrm {~W} / \mathrm { m } ^ { 2 }$. (Round to the nearest decibel.)

Accepted Answer

A)  165 decibels 
B)  62 decibels 
C)  72 decibels 
D)  7 decibels

Question 7

Solve the equation by changing it to exponential form.
-$$\log _ { 7 } x = 2$$

Accepted Answer

A)  $x = 2 ^ { 7 }$ 
B)  $x = 7 \cdot 2$ 
C)  $x = 7 ^ { 2 }$ 
D)  $x = \frac { 2 } { \log _ { 7 } 2 }$

Question 8

Solve the problem.
-The population of wolves in a state park after t years is modeled by the functionP(t) $= \frac { 200 } { 1 + 99 \mathrm { e } ^ { - 0.3 t } }$. When will the number of wolves be 50 ?

Accepted Answer

A)  About 14 years 
B)  About 12 years 
C)  About 18 years 
D)  About 6 years

Question 9

Choose the graph which matches the function.
-$$f ( x ) = 2 \cdot 0.5 ^ { x } - 1$$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 10

Solve the problem.
-What is the intensity in Watts $/ \mathrm { m } ^ { 2 }$ of a noise measured at 70 decibels? The level of sound intensity in decibels (dB) is $\beta = 10 \log \left( \frac { \mathrm { I } } { \mathrm { I } } \right)$, where $\beta$ (beta) is the number of decibels, I is the sound intensity in $W / \mathrm { m } ^ { 2 }$, and $\mathrm { I } _ { 0 } = 10 ^ { - 12 } \mathrm {~W} / \mathrm { m } ^ { 2 }$. (Round to the nearest decibel.)

Accepted Answer

A)  $1.00 \times 10 ^ { - 4 } \mathrm {~W} / \mathrm { m } ^ { 2 }$ 
B)  $1.10 \times 1015 \mathrm {~W} / \mathrm { m } ^ { 2 }$ 
C)  $7.00 \times 10 ^ { - 10 } \mathrm {~W} / \mathrm { m } ^ { 2 }$ 
D)  $1.00 \times 10 ^ { - 5 } \mathrm {~W} / \mathrm { m } ^ { 2 }$

Exam 3: Exponential, Logistic, and Logarithmic Functions

Determine the doubling time of the investment. -4.09% APR compounded quarterly

Solve the problem. -Suppose you purchase a new car for $27,200. What are the monthly payments for a 4-year loan with a $2,000 down payment if the annual interest rate is 4.5%?

Solve the problem. -The half-life of an element is $5.1 \times 10 ^ { 8 } \mathrm { yr }$ . How long does it take a sample of the element to decay to $\frac { 2 } { 5 }$ of its original mass? (Express results in scientific notation, rounded to the nearest hundredth.)

Choose the graph which matches the function. - $f ( x ) = 2 ^ { - x } - 1$ $Choose the graph which matches the function. - f ( x ) = 2 ^ { - x } - 1 A) B) C) D)$

Use a calculator to find an approximate solution to the equation. -7ln (x + 2.8) = 11.2

Solve the equation by changing it to exponential form. - $\log _ { 7 } x = 2$

Solve the problem. -The population of wolves in a state park after t years is modeled by the functionP(t) $= \frac { 200 } { 1 + 99 \mathrm { e } ^ { - 0.3 t } }$ . When will the number of wolves be 50 ?

Choose the graph which matches the function. - $f ( x ) = 2 \cdot 0.5 ^ { x } - 1$ $Choose the graph which matches the function. - f ( x ) = 2 \cdot 0.5 ^ { x } - 1 A) B) C) D)$

Exam 3: Exponential, Logistic, and Logarithmic Functions

Determine the doubling time of the investment. -4.09% APR compounded quarterly

Solve the problem. -Suppose you purchase a new car for $27,200. What are the monthly payments for a 4-year loan with a $2,000 down payment if the annual interest rate is 4.5%?

Solve the problem. -The half-life of an element is 5.1×108yr5.1 \times 10 ^ { 8 } \mathrm { yr }5.1×108yr . How long does it take a sample of the element to decay to 25\frac { 2 } { 5 }52​ of its original mass? (Express results in scientific notation, rounded to the nearest hundredth.)

Choose the graph which matches the function. - f(x) =2−x−1f ( x ) = 2 ^ { - x } - 1f(x) =2−x−1

Use a calculator to find an approximate solution to the equation. -7ln (x + 2.8) = 11.2

Solve the equation by changing it to exponential form. - log⁡7x=2\log _ { 7 } x = 2log7​x=2

Solve the problem. -The population of wolves in a state park after t years is modeled by the functionP(t) =2001+99e−0.3t= \frac { 200 } { 1 + 99 \mathrm { e } ^ { - 0.3 t } }=1+99e−0.3t200​ . When will the number of wolves be 50 ?

Choose the graph which matches the function. - f(x) =2⋅0.5x−1f ( x ) = 2 \cdot 0.5 ^ { x } - 1f(x) =2⋅0.5x−1

Solve the problem. -The half-life of an element is $5.1 \times 10 ^ { 8 } \mathrm { yr }$ . How long does it take a sample of the element to decay to $\frac { 2 } { 5 }$ of its original mass? (Express results in scientific notation, rounded to the nearest hundredth.)

Choose the graph which matches the function. - $f ( x ) = 2 ^ { - x } - 1$ $Choose the graph which matches the function. - f ( x ) = 2 ^ { - x } - 1 A) B) C) D)$

Solve the equation by changing it to exponential form. - $\log _ { 7 } x = 2$

Solve the problem. -The population of wolves in a state park after t years is modeled by the functionP(t) $= \frac { 200 } { 1 + 99 \mathrm { e } ^ { - 0.3 t } }$ . When will the number of wolves be 50 ?

Choose the graph which matches the function. - $f ( x ) = 2 \cdot 0.5 ^ { x } - 1$ $Choose the graph which matches the function. - f ( x ) = 2 \cdot 0.5 ^ { x } - 1 A) B) C) D)$