Question 1

Solve the equation.
-

Accepted Answer

A)    
B)    
C)  -4 
D)  4 
A)    
B)    
C)  -4 
D)  4

Question 2

Evaluate the exponential expression.
-

Accepted Answer

A)  1 
B)  0 
C)  -9 
D)  -1 
A)  1 
B)  0 
C)  -9 
D)  -1

Question 3

Find the function value.
-Let f(x) =   . Find f(-1).

Accepted Answer

A)    
B)    
C)  1 
D)  -4 
A)    
B)    
C)  1 
D)  -4

Question 4

Solve the problem.
-In the formula   , A is the amount of radioactive material remaining from an initial amount I at a given time t, and k is a negative constant determined by the nature of the material. An artifact is discovered at a
Certain site. If it has 62% of the carbon-14 it originally contained, what is the approximate age of the artifact?
(carbon-14 decays at the rate of 0.0125% annually.) (Round to the nearest year.)

Accepted Answer

A)  1661 yr 
B)  3824 yr 
C)  4960 yr 
D)  3040 yr 
A)  1661 yr 
B)  3824 yr 
C)  4960 yr 
D)  3040 yr

Question 5

Solve the problem.
-At what interest rate would a deposit of $20,000 grow to $29,836 in 25 years with continuous compounding? Round to the nearest tenth when necessary.

Accepted Answer

A)  1.6% 
B)  4.6% 
C)  2.6% 
D)  -0.4% 
A)  1.6% 
B)  4.6% 
C)  2.6% 
D)  -0.4%

Question 6

Solve the problem. When needed, use 365 days per year and 30 days per month.
-An initial investment of $480 is appreciated for 9 years in an account that earns 18% interest, compounded quarterly. Find the amount of money in the account at the end of the period.

Accepted Answer

A)  $2129.02 
B)  $2240.33 
C)  $2341.14 
D)  $1861.14 
A)  $2129.02 
B)  $2240.33 
C)  $2341.14 
D)  $1861.14

Question 7

Solve the equation. Round your answer to three decimal places.
-

Accepted Answer

A)  0.592 
B)  1.03 
C)  0.03 
D)  0.359 
A)  0.592 
B)  1.03 
C)  0.03 
D)  0.359

Question 8

Solve the problem.
-A certain radioactive isotope decays at a rate of 0.125% annually. Determine the half-life of this isotope, to the nearest year.

Accepted Answer

A)  241 years 
B)  6 years 
C)  555 years 
D)  400 years 
A)  241 years 
B)  6 years 
C)  555 years 
D)  400 years

Question 9

Evaluate the exponential expression.
-

Accepted Answer

A)  -25 
B)    
C)  25 
D)    
A)  -25 
B)    
C)  25 
D)

Question 10

Solve the problem.
-How long will it take for $3600 to grow to $7300 at an interest rate of 2.8% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

Accepted Answer

A)  2524.79 yr 
B)  25.25 yr 
C)  0.55 yr 
D)  2.52 yr 
A)  2524.79 yr 
B)  25.25 yr 
C)  0.55 yr 
D)  2.52 yr

Question 11

Solve the equation.
-

Accepted Answer

A)    
B)  -3 
C)    
D)  3 
A)    
B)  -3 
C)    
D)  3

Question 12

Find the inverse of the function.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Solve the equation.
-

Accepted Answer

A)  2 
B)  -2 
C)    
D)    
A)  2 
B)  -2 
C)    
D)

Question 15

Solve the equation. Give an exact solution.
-log(x + 20) = 3

Accepted Answer

A)  1000 
B)  20 
C)  980 
D)  3 
A)  1000 
B)  20 
C)  980 
D)  3

Question 16

Provide an appropriate response.
-Using a combination of words and graphs, explain the meaning of the equation

Accepted Answer

Answers will vary. One possibi

Question 17

Solve the problem.
-The amount of particulate matter left in solution during a filtering process is given by the equation   where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to the nearest whole number.)

Accepted Answer

A)  300; 9 
B)  300; 19 
C)  600; 19 
D)  300; 4800 
A)  300; 9 
B)  300; 19 
C)  600; 19 
D)  300; 4800

Question 18

Solve the problem.
-The number of bacteria growing in an incubation culture increases with time according to   where x is time in days. Find the number of bacteria when x = 0 and x = 4.

Accepted Answer

A)  2000; 6,250,000 
B)  2000; 40,000 
C)  10,000; 1,250,000 
D)  2000; 1,250,000 
A)  2000; 6,250,000 
B)  2000; 40,000 
C)  10,000; 1,250,000 
D)  2000; 1,250,000

Question 19

Find the inverse of the function.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

Write the equation as an equivalent exponential equation.
-ln(x) = -9

Accepted Answer

A)    
B)    
C)    
D)  ln(-9) = x 
A)    
B)    
C)    
D)  ln(-9) = x

Solve the equation. -

Evaluate the exponential expression. -

Find the function value. -Let f(x) = . Find f(-1).

Solve the problem. -At what interest rate would a deposit of $20,000 grow to $29,836 in 25 years with continuous compounding? Round to the nearest tenth when necessary.

Solve the problem. When needed, use 365 days per year and 30 days per month. -An initial investment of $480 is appreciated for 9 years in an account that earns 18% interest, compounded quarterly. Find the amount of money in the account at the end of the period.

Solve the equation. Round your answer to three decimal places. -

Solve the problem. -A certain radioactive isotope decays at a rate of 0.125% annually. Determine the half-life of this isotope, to the nearest year.

Evaluate the exponential expression. -

Solve the problem. -How long will it take for $3600 to grow to $7300 at an interest rate of 2.8% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

Solve the equation. -

Find the inverse of the function. -

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms. -

Solve the equation. -

Solve the equation. Give an exact solution. -log(x + 20) = 3

Provide an appropriate response. -Using a combination of words and graphs, explain the meaning of the equation

Solve the problem. -The amount of particulate matter left in solution during a filtering process is given by the equation where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to the nearest whole number.)

Solve the problem. -The number of bacteria growing in an incubation culture increases with time according to where x is time in days. Find the number of bacteria when x = 0 and x = 4.

Find the inverse of the function. -

Write the equation as an equivalent exponential equation. -ln(x) = -9

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 4: Exponential and Logarithmic Functions

Solve the equation. -

Evaluate the exponential expression. -

Find the function value. -Let f(x) = . Find f(-1).

Solve the problem. -At what interest rate would a deposit of $20,000 grow to $29,836 in 25 years with continuous compounding? Round to the nearest tenth when necessary.

Solve the problem. When needed, use 365 days per year and 30 days per month. -An initial investment of $480 is appreciated for 9 years in an account that earns 18% interest, compounded quarterly. Find the amount of money in the account at the end of the period.

Solve the equation. Round your answer to three decimal places. -

Solve the problem. -A certain radioactive isotope decays at a rate of 0.125% annually. Determine the half-life of this isotope, to the nearest year.

Evaluate the exponential expression. -

Solve the problem. -How long will it take for $3600 to grow to $7300 at an interest rate of 2.8% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

Solve the equation. -

Find the inverse of the function. -

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms. -

Solve the equation. -

Solve the equation. Give an exact solution. -log(x + 20) = 3

Provide an appropriate response. -Using a combination of words and graphs, explain the meaning of the equation

Solve the problem. -The amount of particulate matter left in solution during a filtering process is given by the equation where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to the nearest whole number.)

Solve the problem. -The number of bacteria growing in an incubation culture increases with time according to where x is time in days. Find the number of bacteria when x = 0 and x = 4.

Find the inverse of the function. -

Write the equation as an equivalent exponential equation. -ln(x) = -9

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters