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 
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 
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)  $3.24 \times 10 ^ { 8 } \mathrm { yr }$ 
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) 
  
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 
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 
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)  $x = \frac { 2 } { \log _ { 7 } 2 }$ 
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 
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) 
  
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)  $1.00 \times 10 ^ { - 5 } \mathrm {~W} / \mathrm { m } ^ { 2 }$ 
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)  $1.00 \times 10 ^ { - 5 } \mathrm {~W} / \mathrm { m } ^ { 2 }$

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

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

Functions and Graphs

Polynomial, Power, and Rational Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Exam 3: Exponential, Logistic, and Logarithmic Functions