please solve these two problems without using excel and show all steps.

Question No.13 Luke inherited a 40-year annuity-immediate, with annual payments of 20,000. He immediately exchanged the perpetuity for a 30-year annuity-immediate having the same present value. The annuity-immediate has annual payments of X. All the present values are based on an annual effective interest rate of 6% for the first 15 years and 7% thereafter. Calculate X. A. 18,428 B. 19,214 C. 20,000 D. 20,786 E. 21,572 Question No.14 A loan is to be repaid by annual installments of X at the end of each year for 15 years. You are given: (0) the total principal repaid in the first 3 years is 290.35; and the total principal repaid in the next 3 years is 326.60. Calculate the total amount of interest paid during the life of the loan. A. 600 B. 650 C. 700 D. 750 E. 800