4) (28 points) Scott has decided to make annual contributions over a 15-year period into a retirement fund. He wants to make his first contribution of $3,000 one year from now (t1). He will increase his annual contribution by $300/ year over the remaining years. The fund is expected to earn 10% per year compounded annually. He plans to retire 15 years from now. a) (12 points) Determine the amount of money in the retirement fund at the time of Scott's retirement. b) ( 8 points) What equal amount can he withdraw annually for a period of 10 years starting one year after retirement, if he wants to deplete (i.e., balance =0 ) the fund when the last withdrawal is made? c) ( 8 points) If Scott would like the fund to have a balance at the time of the 10tw withdrawal exactly equal to the balance it had when he retired, what equal amount can he withdraw annually for a period of 10 years starting one year after retirement