Please show as much work as possible. Answer should be: 2514.76

Problem 16.21 | Carol and John shared equally in an inheritance. Using his inheritance, John immediately bought a 10-year annuity-due with an annual payment of 2,500 each. Carol put her inheritance in an investment fund earning an annual effective interest rate of 9%. Two years later, Carol bought a 15-year annuity-immediate with annual payment of Z. The present value of both annuities was determined using an annual effective interest rate of 8%. Calculate Z