A 65 year-old man intends to use his retirement funds to purchase an annuity from a life insurance company. Given the amount of money the man has available to invest, the insurance company is able to offer 2 alternatives. The first option is to receive $2,785 each month for as long as he lives, the second option is to receive$3,500 each month, but for only 20 years (payments should be made to his estate if he should die before that time). The relevant interest rate is 6%per year compounding monthly. How long must the man live so that the first option is a better deal?