Find the derivative. y = In 1x +7 y'=Four thousand dollars is deposited into a savings account at 2.5% interest compounded continuously. (a) What is the formula for Mt), the balance after t years? (b) What differential equation is satisfied by Aft), the balance after t years? {c} How much money will be in the account after 8 years? (d) When will the balance reach $8000? (e) How fast is the balance growing when it reaches $8000? (c) 95D (Round to the nearest cent as needed.) (d) After D years the balance will reach $8000. (Round to one decimal place as needed.) (e) The investment is growing at the rate of $D per year. (Type an integer or decimal rounded to two decimal places as needed.)