Exam 11: Exponential Functions

Automobiles built before 1993 use Freon in their air conditioners. The federal government now prohibits the manufacture of Freon. Because the supply of Freon is decreasing, the price per pound is increasing exponentially. Current estimates put the formula for the price per pound of Freon at where t is the number of years since 1990. Find the price of Freon in 1990. Please round your answer to the nearest cent. $__________ per pound Find the price of Freon in 1998. Please round your answer to the nearest cent. $__________ per pound How much will Freon cost in the year 2007?. Please round your answer to the nearest cent. $__________ per pound

Solve the exponential equation. Round the answer to four decimal places, if necessary.

Use properties of logarithms to expand the expression as much as possible.

Find a decimal approximation of the following natural logarithm. Round your answer to four decimal places, if necessary. ln 10,000

Choose the graph of the following logarithmic equation.

Let Evaluate . = __________

Suppose you deposit $1,100 in an account with an annual interest rate of 6% compounded quarterly. How many years will it take for the account to contain $3,300? Please round your answer to two decimal places. __________ years

Use properties of logarithms to expand the expression as much as possible.

Solve the equation for x .

If find

Solve the equation for x .

Solve the exponential equation. Round the answer to four decimal places, if necessary.

Solve the exponential equation. Round your answer to four decimal places, if necessary. x = __________

For the following one-to-one function, find the equation of the inverse.

Suppose you deposit $1,500 in an account with an annual interest rate of 9% compounded continuously. How much money would the account contain after 5 years.

Use properties of logarithms to expand the expression as much as possible.

How long will it take $1,500 to triple if it is invested at 9% annual interest, compounded continuously? Round your answer to one decimal place. __________ years

Find a decimal approximation of the following natural logarithm. Round your answer to four decimal places, if necessary. ln 0.349

The function where V is value and t is time in years, can be used to find the value of a printing press during the first 7 years of use. What is the value of the printing press after 5 years and 4 months? Please round your answer to the nearest dollar. $__________

Choose the graph of the function below.