​(Complex present value​) You would like to have ​$52000 in 14 years. To accumulate this​ amount, you plan to deposit each year an equal sum in the​ bank, which will earn 8 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this​amount? b. If you decide to make a large​ lump-sum deposit today instead of the annual​ deposits, how large should this​ lump-sum deposit​ be? (Assume you can earn 8 percent on this​ deposit.) c. At the end of 4 years you will receive ​$12 comma 000 and deposit this in the bank toward your goal of ​$52000 at the end of 14 years. In addition to this​ deposit, how much must you deposit in equal annual deposits to reach your​ goal? (Again assume you can earn 8 percent on this​ deposit.)