Mrs. Williams finds that she has two options for investing $31,000.01 for fifteen years. The first option is to deposit the $31,000.01 into a fund earning a nominal rate of discount ) payable quarterly. The second option is to purchase an annuity-immediate with 15 level annual payments, the annuity payments computed using an annual effective rate of 7%, and then when she gets an annuity payment, to immediately invest it into a fund earning an annual effective rate of 4%. Mrs. Williams calculates that the second option produces an accumulated value that is $1,500 more than the accumulated value yielded by the first option. Calculate 47. (Round your answer to two decimal places.) {") - 5.14 X 90