If you borrow \( \$ 500 \) for 6 months at \( 2 \% \) annual simple interest, how much must you repay at the end of the 6 months?

\( \$ 5000 \) 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.

A car was valued at \( \$ 34,000 \) in the year 1990 . The value depreciated to \( \$ 11,000 \) by the year 2006 . A) What was the annual rate of change between 1990 and 2006 ? \( r=\square \) Round the rate of decrease to 4 decimal places.

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.

What amount, \( A \), will our account have after 5 years if it earns an annual rate of \( 5 \% \) compounded quarterly if we started with \( \$ 650 \). Round to the nearest cent. \( A=\$ \)

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.