Please find A,B,C,D,E

Five thousand dollars is deposited into a savings account at 8.5% 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 9 years? (d) When will the balance reach $8000? (e) How fast is the balance growing when it reaches $8000? (a) A(t) = (b) A' (t) = (c) $ (Round to the nearest cent as needed.) (d) After years the balance will reach $8000. (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.)