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) = Aert, where r is the annual interest rate earned by the account. Let A = $5, 000 and T = 8.6 976. A} What is the value of the account, in dollars, after 24 years? Give your answer rounded to two decimal places. Answer $l 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: l dollars per year C) At what time, in years, is the instantaneous rate of change of the value of the account increasing by $1,357.78 per year? If necessary, round your answer to two decimal places. Answer: After l l years. D) What is the average rate of change of the future value of the account between year 24 and year 28? (Round to the nearest pennyi'cent.) Answer: l l dollars per year. (Round to two decimal places.)