8. Brian buys a 15-year decreasing annuity-immediate with annual payments of 15, 14, 13, ..., 1. On the same date, Jenny buys a perpetuity-immediate with annual payments. For the first 16 years, payments are 1, 2, 3, ..., 16. After year 16, payments remain constant at 16. At an annual effective interest rate of i, both annuities have a present value of X. Calculate X. 8. Brian buys a 15-year decreasing annuity-immediate with annual payments of 15, 14, 13, ..., 1. On the same date, Jenny buys a perpetuity-immediate with annual payments. For the first 16 years, payments are 1, 2, 3, ..., 16. After year 16, payments remain constant at 16. At an annual effective interest rate of i, both annuities have a present value of X. Calculate X