Part 1 of 5 Five thousand dollars is deposited into a savings account at 7.5% interest compounded continuously. (a) What is the formula for A(t), the balance after t years? (b) What differential equation is satisfied by A(t), the balance after t years? (c) How much money will be in the account after 5 years? (d) When will the balance reach $8000? (e) How fast is the balance growing when it reaches $8000? (a) A(t) =