Sticky Ball ReviewChapter 3 Test

Problem 1Evaluate: log3

127

Problem 2Evaluate:

124

Problem 3Solve for x (round to the

hundredths): ln .x 5 1

Problem 4Write the equation of an

exponential function that goes through (0,5) and (2,12).

Problem 5Given:

What is the y-intercept?

( ) xf x

1311 4 3

Problem 6Given:

What is the limit to growth and the horizontal asymptotes?

( ) xf x

1311 4 3

Problem 7Simplify: log( )x y3 5 2

Problem 8List the transformations (in order)

of

Basic:Vertical Horizontal

( ) xf x 2 5 1

Problem 9Solve for x:

log( ) log( ) logx x 11 2 1 42

Solve 10Solve for x: log x 32 3 10

Problem 11Write a logistic function if:Initial value = 20, Limit to growth

= 200, Passes through (2,32)

Problem 12Solve for x: ln( ) ln( )a a 24 2 7

Problem 13Solve for x: xe 7 3 6

Problem 14The population of a town is 10,000

in 1980. It is increasing at a rate of 2.9% each year. Determine the exponential equation to find when the population will reach 30,000 people.

Problem 15The half-life of a substance is 2

minutes. The original mass is 20 grams. How much of the substance remains after 5 minutes?

Problem 16How long will it take your

investment to double if it earns 7.5% compounded quarterly?

Problem 17P. J. purchases furniture for

$25,000. What are his monthly payments for a 3-year loan with a $5,000 down payment if the APR is 2.8%?

Problem 18Which is a better investment:

5.25% compounded quarterly or 5.15% compounded monthly? (Hint: Find APY for both!)