(Comprehensive problem) You would like to have $74,000 in 16 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 10 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 the lump-sum deposit be? (Assume you can earn 10 percent on this deposit.) c. At the end of year 5, you will receive $10,000 and deposit it in the bank in an effort to reach your goal of $74,000 at the end of year 16. In addition to the lump-sum deposit, how much must you invest in 16 equal annual deposits to reach your goal? (Again, assume you can earn 10 percent on this deposit.) a. How much must you deposit annually to accumulate this amount? (Round to the nearest cent.) b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should the lump-sum deposit be? (Round to the nearest cent.) c. If you deposit $10,000 received at the end of year 5 in the bank, how much will it grow to in the account at the end of year 16? $ (Round to the nearest cent.) In addition to the lump-sum deposit, how much must you invest in 16 equal annual deposits to reach your goal? $ (Round to the nearest cent.)