Problem 2 On January 1, 2005, $8,200 was deposited into an account that earns 3.6% interest compounded monthly. On January 1, 2011, $1,400 was withdrawn from the account and the bank changed the interest rate to 2.64% compounded monthly. On January 1, 2017, $900 was deposited into the account and the interest rate was lowered to 1.92% compounded monthly. Do the following: a. If no other deposits, withdrawals, or rate changes occur, how much money did the account have on January 1, 2022? Use the appropriate formula(s) to help you solve this problem; Do NOT use the TVM Solver. Show all the steps needed to solve this problem. (10 points) b. Determine the total interest that was earned from January 1, 2005 to January 1, 2022? Use appropriate formula(s) to help you solve this problem; Do NOT use the TVM Solver. Show how you arrived at your answer. (5 points)