Suppose $6,000.00 is invested in an account for 15 years. Calculate the total interest earned at the end of 15 years if the interest is: (a) 5% simple interest:  (b) 5% compounded annually:  (c) 5% compounded quarterly:  (d) 5% compounded monthly:

a. I invested $5,000 into an account earning 5% interest compounded monthly and left it there for 5 years. After the 5 years were up I transferred the money from that account into a new account that earned 6% interest compounded quarterly for the next 10 years. How much total money would I have at the end of the 15 years? b. If I had left the $5,000 in the initial account earning 5% compounded monthly how long, to the nearest tenth of a year, would it have taken to get the same total as in part a?

Suppose that $2500 is placed in a savings account at an annual rate of  5%, compounded quarterly. Assuming that no withdrawals are made, how long will it take for the account to grow to $4500?