When an initial amount of money, A, in dollars, is invested into an account that earns interest continuously, the Future Value of the account after t years is given by the formula: F(t) = Ae", where is the annual interest rate earned by the account. Let A $17,000 and 7.2%. A) What is the value of the account, in dollars, after 9 years? Give your answer rounded to two decimal places. Answer $ 32499.13 B) What is the exact instantaneous rate of change of the value of the account at exactly 16 years? Give your answer rounded to two decimal places. Answer: dollars per year C) At what time, in years, is the instantaneous rate of change of the value of the account increasing by $40,210.34 per year? If necessary, round your answer to two decimal places. Answer: After years. D) What is the average rate of change of the future value of the account between year 9 and year 14? (Round to the nearest penny/cent.) Answer: dollars per year. (Round to two decimal places.)