Four thousand dollars is deposited into a savings account at 5.5% interest compounded continuously. (a) What is the formula for A(t), the balance after t years? (b) What differential equation is satised by A(t), the balance after t years? (c) How much money will be in the account after 7 years? (d) When will the balance reach $5000? (e) How fast is the balance growing when it reaches $5000? (a) An) = D (b) Mt) = D (c) $|:| (Round to the nearest cent as needed.) (d) After |:| years the balance will reach $5000. (Round to one decimal place as needed.) (e) The investment is growing at the rate of $|:| per year. (Type an integer or decimal rounded to two decimal places as needed.)