On June 10th, 2013, Joseph invested $17,000 in a fund that was growing at 7% compounded semi-annually.

a. Calculate the accumulated amount of the fund on February 3rd, 2014.

Round to the nearest cent

b. On February 3rd, 2014, the interest rate on the fund changed to 4% compounded monthly. Calculate the accumulated amount of the fund on January 14th, 2015.

c If you want to have a million dollars 32 years from today, how much should you invest in your savings account that earns interest of 5.06% compounded monthly?