Beginning at age 22, Sally invests $275 at the end of each month in an investment account at a Bank where interest is 7.5% compounded monthly. Sally continues her monthly investments until he turns 45. At age 50, Sally sells a rare shell, earning a $50,000 profit which she invests in her account. Answer each of the following questions assuming that Sally makes no additional investments or withdrawals before she turns 65.

(a) Find the value of Sallys account at the age of 45.

(b) Find the value of Sallys account when she turns 65 and retires from her job

(c) Determine how much Sally has personally invested into her account.

(d) Determine how much Sally has earned in interest when she retires at age 65.

(e) Determine the monthly retirement income that Sallys account will provide her with in her years from age 65-82. (Assume that the account continues to provide an interest rate of 6.5% compounded monthly.)