A state lottery commission pays the winner of the Million Dollar lottery 20 installments of $50,000/year. The commission makes the first payment of $50,000 immediately and the other n = 19 payments at the end of each of the next 19 years. Determine how much money the commission should have in the bank initially to guarantee the payments, assuming that the balance on deposit with the bank earns interest at the rate of 4%/year compounded yearly. (Round your answer to the nearest dollar.) (Hint: Find the present value of an annuity.)
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The commission needs to have enough money in the bank to make the first payment of $50,000 immediately. So, the initial amount should be at least $50,000. Show more…
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