A car was valued at \( \$ 39,000 \) in the year 1992. The value depreciated to \( \$ 12,000 \) by the year 2005. A) What was the annual rate of change between 1992 and 2005? \( r=\quad \) Round the rate of decrease to 4 decimal places.

\( \$ 5000 \) are invested in a bank account at an interest rate of 5 percent per year. Find the amount in the bank after 13 years if interest is compounded annually. 9428 Find the amount in the bank after 13 years if interest is compounded quarterly. 9539 Find the amount in the bank after 13 years if interest is compounded monthly. Finally, find the amount in the bank after 13 years if interest is compounded continuously.

A car was valued at \( \$ 31,000 \) in the year 1991 . The value depreciated to \( \$ 13,000 \) by the year 2007 . A) What was the annual rate of change between 1991 and 2007? \( r=\square \) Round the rate of decrease to 4 decimal places. B) What is the correct answer to part A written in percentage form? \( r=\square \). C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2010 ? value \( =\$ \square \) Round to the nearest 50 dollars.

\( \$ 5000 \) are invested in a bank account at an interest rate of 5 percent per year. Find the amount in the bank after 13 years if interest is compounded annually. Find the amount in the bank after 13 years if interest is compounded quarterly. Find the amount in the bank after 13 years if interest is compounded monthly. Finally, find the amount in the bank after 13 years if interest is compounded continuously.

Find the time required for an investment of 5000 dollars to grow to 6500 dollars at an interest rate of 7.5 percent per year, compounded quarterly. Your answer is \( t=\square \) years. You may enter the exact value or round to 2 decimal places.

Consider a credit card with a balance of \( \$ 9000 \) and an APR of \( 16.5 \% \). If you want to make monthly payments in order to pay off the balance in 3 years, what is the total amount you will pay? Round your answer to the nearest cent, If necessary.