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4) (28 points) An employee has decided to make annual contributions over a 15year period into a retirement fund. She wants to make her rst contribution of $5,000 one year from now (F1). She then plans to increase her annual contribution by $500 each year for the remaining years. The fund is expected to earn 15% per year compounded annually. She decides to retire in 15 years (from now). a) (20 points) Assuming that the fund will be depleted when the last withdrawal is made, what equal amount can she withdraw annually for a period of 10 years starting one year after retirement? b) (8 points) if she wants the fund to have a balance at the time of the 10'\" withdrawal exactly equal to the balance it had when she retired, what equal amount can she withdraw annually for a period of 10 years starting one year aer retirement