Francois purchases a 10-year annuity-immediate with annual payments of 10X. Jacques purchases a 10-year decreasing annuityimmediate which also makes annual payments. The payment at the end of year 1 is equal to 50 . At the end of year 2, and at the end of each year through year 10, each subsequent payment is reduced over what was paid in the previous year by an amount equal to X. At an annual effective interest rate of 7.072%, both annuities have the same present value. Calculate X, where X