Exam 5: Inverse, Exponential, and Logarithmic Functions
Exam 1: Fundamental Concepts of Algebra150 Questions
Exam 2: Equations and Inequalities142 Questions
Exam 3: Functions and Graphs147 Questions
Exam 4: Polynomial and Rational Functions147 Questions
Exam 5: Inverse, Exponential, and Logarithmic Functions144 Questions
Exam 6: The Trigonometric Functions150 Questions
Exam 7: Analytic Trigonometry150 Questions
Exam 8: Applications of Trigonometry144 Questions
Exam 9: Systems of Equations and Inequalities147 Questions
Exam 10: Sequences, Series and Probability150 Questions
Exam 11: Topics From Analytic Geometry150 Questions
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When the volume control on a stereo system is increased, the voltage across a loudspeaker changes from V 1 to V 2 , and the decibel increase is given by
Find the decibel increase if the voltage changes from 1.7 volts to 3 volts.
(Multiple Choice)
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If $1,100 is deposited in a savings account that pays interest at a rate of
% per year compounded continuously, find the balance after 4 years.
(Multiple Choice)
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Some lending institutions calculate the monthly payment M on a loan of L dollars at an interest rate r (expressed as a decimal) by using the formula:
where k = [1 + ( r / 12 )] 12t and t is the number of years that the loan is in effect. An automobile dealer offers customers no-down-payment 4-year loans at an interest rate of 15%. If a customer can afford to pay $229 per month, find the price of the most expensive car that can be purchased.
(Multiple Choice)
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If 3 grams of salt is added to a quantity of water, then the amount that is undissolved after t minutes is given by:
Sketch a graph that shows the value at any time from t = 0 to t = 10.
(Multiple Choice)
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Use the change of base formula to approximate the x-intercept. 
(Multiple Choice)
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If 7 grams of salt is added to a quantity of water, then the amount that is undissolved after t minutes is given by:
Sketch a graph that shows the value at any time from t = 0 to t = 10.
(Multiple Choice)
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If $800 is deposited in a savings account that pays interest at a rate of
% per year compounded continuously, find the balance after 7 years.
(Multiple Choice)
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An urban density model is a formula that relates the population density D ( in thousands/ mi 2 ) to the distance x (in miles) from the center of the city. The formula
for the central density a and coefficient of decay b has been found to be appropriate for many large U.S. cities. For the city of Atlanta in 1970, a = 5.5 and b = 0.10. At approximately what distance was the population density 2,800 per square mile?
(Multiple Choice)
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Find an exponential function of the form f (x) = ba x that has the given y-intercept and passes through the point P: y-intercept = 64; P (3,1);
(Multiple Choice)
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The graph of a one-to-one function f is shown. Use the reflection property to sketch the graph of

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