Suppose you wish to plan for your newborns college tuition payment. You intend to make equal quarterly deposits into an account offering annual rate of 6% compounded quarterly on the childs 1st through 12th birthdays. You expect that tuition payments will be $40,000 every six months by the time the child is ready to enter college. Therefore, your goal is to make eight semi-annual withdrawals of $40,000 each starting on the childs 18th birthday to be used for his tuition payments. How much must each of the quarterly deposits be such that there will be enough money accumulated in the account to exactly meet the goal? Assume the account offers 6% per year compounded quarterly until the childs 18th birthday and 6% per year compounded semiannually after that. [Suggestion: Draw the cash flow diagram to aid you in solving this problem.]