Question 1

What is the half-life of a radioactive substance if 2.9 g decays to 1.80 g in 64 hours? Round to the nearest tenth of an hour.

Accepted Answer

A)  93.0 hours 
B)  69.8 hours 
C)  46.5 hours 
D)  23.3 hours 
E)  13.8 hours 
A)  93.0 hours 
B)  69.8 hours 
C)  46.5 hours 
D)  23.3 hours 
E)  13.8 hours

Question 2

An initial investment of $6000 grows at an annual interest rate of 3% compounded continuously.How long will it take to double the investment?

Accepted Answer

A)  23.10 years 
B)  24.10 years 
C)  24.00 years 
D)  23.00 years 
E)  1 year 
A)  23.10 years 
B)  24.10 years 
C)  24.00 years 
D)  23.00 years 
E)  1 year

Question 3

On the Richter scale, the magnitude   of an earthquake of intensity   per unit of area is given by   where   is the minimum intensity used for comparison.Find the magnitude   (on the Richter scale) of an earthquake of intensity   Round to the nearest thousandth.

Accepted Answer

A)  4.597 
B)  10.597 
C)  9.597 
D)  6.597 
E)  8.597 
A)  4.597 
B)  10.597 
C)  9.597 
D)  6.597 
E)  8.597

Question 4

Use the functions given by   and   to find the composition of functions

Accepted Answer

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

Question 5

Approximate the solution to   Round to 3 decimal places.

Accepted Answer

A)  2.226 
B)  6.133 
C)  4.586 
D)  -0.223 
E)  396.223 
A)  2.226 
B)  6.133 
C)  4.586 
D)  -0.223 
E)  396.223

Question 6

Rewrite the exponential equation   in logarithmic form.

Accepted Answer

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

Question 7

Use algebraic procedures to find the exact solution(s) of the equation below.

Accepted Answer

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

Question 8

Strontinum-90 has a half life of 29.1 years.The amount S of 100 kilograms of Strontinum6990 present after t years is given by   How much of the 100 kilograms will remain after 50 years?

Accepted Answer

A)  about 31.4 kilograms 
B)  about 35.4 kilograms 
C)  about 30.4 kilograms 
D)  about 37.4 kilograms 
E)  about 40.4 kilograms 
A)  about 31.4 kilograms 
B)  about 35.4 kilograms 
C)  about 30.4 kilograms 
D)  about 37.4 kilograms 
E)  about 40.4 kilograms

Question 9

The half-life of 134Ba is 28.7 hours.How much of a 18.2 g sample of 134Ba will be left after 24.00 hours? Round to the nearest hundredth of a gram.

Accepted Answer

A)  20.39 g 
B)  7.65 g 
C)  10.19 g 
D)  32.49 g 
E)  14.15 g 
A)  20.39 g 
B)  7.65 g 
C)  10.19 g 
D)  32.49 g 
E)  14.15 g

Question 10

Match the function   with its graph.

Accepted Answer

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

Question 11

Condense the expression   to the logarithm of a single term.

Accepted Answer

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

Question 12

Use algebraic procedures to find the exact solution of the equation

Accepted Answer

A)  -1, 7 
B)    
C)  2, 3 
D)  7 
E)  1 
A)  -1, 7 
B)    
C)  2, 3 
D)  7 
E)  1

Question 13

The population P of a bacteria culture is modeled by   , where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.

Accepted Answer

A)  56.6 hours 
B)  54.8 hours 
C)  81.7 hours 
D)  79.9 hours 
E)  8.9 hours 
A)  56.6 hours 
B)  54.8 hours 
C)  81.7 hours 
D)  79.9 hours 
E)  8.9 hours

Question 14

Determine whether the function has an inverse function, If it does, find its inverse function.

Accepted Answer

A)  No,   does not have an inverse function. 
B)  Yes,   has an inverse function,   
C)  Yes,   has an inverse function,   
D)  Yes,   has an inverse function,   
E)  Yes,   has an inverse function,   
A)  No,   does not have an inverse function. 
B)  Yes,   has an inverse function,   
C)  Yes,   has an inverse function,   
D)  Yes,   has an inverse function,   
E)  Yes,   has an inverse function,

Question 15

Approximate the logarithm below using the properties of logarithms, given     and

Accepted Answer

A)  -0.2084 
B)  0.2625 
C)  -0.4709 
D)  -0.2625 
E)  0.4709 
A)  -0.2084 
B)  0.2625 
C)  -0.4709 
D)  -0.2625 
E)  0.4709

Question 16

A hunting club stocks a wildlife preserve with 20 elk.The carrying capacity of the preserve is 280 animals and the growth of the herd, allowing for the effect of controlled hunting of the elk, is expected to be modeled by the logistic curve   , where t is measured in years.After how many years will the population be 253? Round to the nearest year.

Accepted Answer

A)  27 years 
B)  33 years 
C)  29 years 
D)  25 years 
E)  31 years 
A)  27 years 
B)  33 years 
C)  29 years 
D)  25 years 
E)  31 years

Question 17

Solve for x.

Accepted Answer

A)    
B)    
C)    
D)    
E)  2 
A)    
B)    
C)    
D)    
E)  2

Question 18

Expand the given logarithmic expression.Assume all variable expressions represent positive real numbers.

Accepted Answer

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

Question 19

Use a calculator to evaluate the function   for the given value of   ,   Round your result to three decimal places.

Accepted Answer

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

Question 20

Use algebraic procedures to find the exact solution of the equation

Accepted Answer

A)  0, -2 
B)  4 
C)  3, 2 
D)  -2, 4 
E)  2 
A)  0, -2 
B)  4 
C)  3, 2 
D)  -2, 4 
E)  2

What is the half-life of a radioactive substance if 2.9 g decays to 1.80 g in 64 hours? Round to the nearest tenth of an hour.

An initial investment of $6000 grows at an annual interest rate of 3% compounded continuously.How long will it take to double the investment?

On the Richter scale, the magnitude of an earthquake of intensity per unit of area is given by where is the minimum intensity used for comparison.Find the magnitude (on the Richter scale) of an earthquake of intensity Round to the nearest thousandth.

Use the functions given by and to find the composition of functions

Approximate the solution to Round to 3 decimal places.

Rewrite the exponential equation in logarithmic form.

Use algebraic procedures to find the exact solution(s) of the equation below.

Strontinum-90 has a half life of 29.1 years.The amount S of 100 kilograms of Strontinum6990 present after t years is given by How much of the 100 kilograms will remain after 50 years?

The half-life of ¹³⁴Ba is 28.7 hours.How much of a 18.2 g sample of ¹³⁴Ba will be left after 24.00 hours? Round to the nearest hundredth of a gram.

Match the function with its graph.

Condense the expression to the logarithm of a single term.

Use algebraic procedures to find the exact solution of the equation

The population P of a bacteria culture is modeled by , where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.

Determine whether the function has an inverse function, If it does, find its inverse function.

Approximate the logarithm below using the properties of logarithms, given and

Solve for x.

Expand the given logarithmic expression.Assume all variable expressions represent positive real numbers.

Use a calculator to evaluate the function for the given value of , Round your result to three decimal places.

Use algebraic procedures to find the exact solution of the equation

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

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Exam 4: Exponential and Logarithmic Functions

What is the half-life of a radioactive substance if 2.9 g decays to 1.80 g in 64 hours? Round to the nearest tenth of an hour.

An initial investment of $6000 grows at an annual interest rate of 3% compounded continuously.How long will it take to double the investment?

On the Richter scale, the magnitude of an earthquake of intensity per unit of area is given by where is the minimum intensity used for comparison.Find the magnitude (on the Richter scale) of an earthquake of intensity Round to the nearest thousandth.

Use the functions given by and to find the composition of functions

Approximate the solution to Round to 3 decimal places.

Rewrite the exponential equation in logarithmic form.

Use algebraic procedures to find the exact solution(s) of the equation below.

Strontinum-90 has a half life of 29.1 years.The amount S of 100 kilograms of Strontinum6990 present after t years is given by How much of the 100 kilograms will remain after 50 years?

The half-life of 134Ba is 28.7 hours.How much of a 18.2 g sample of 134Ba will be left after 24.00 hours? Round to the nearest hundredth of a gram.

Match the function with its graph.

Condense the expression to the logarithm of a single term.

Use algebraic procedures to find the exact solution of the equation

The population P of a bacteria culture is modeled by , where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.

Determine whether the function has an inverse function, If it does, find its inverse function.

Approximate the logarithm below using the properties of logarithms, given and

Solve for x.

Expand the given logarithmic expression.Assume all variable expressions represent positive real numbers.

Use a calculator to evaluate the function for the given value of , Round your result to three decimal places.

Use algebraic procedures to find the exact solution of the equation

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters

The half-life of ¹³⁴Ba is 28.7 hours.How much of a 18.2 g sample of ¹³⁴Ba will be left after 24.00 hours? Round to the nearest hundredth of a gram.