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Question 1 0/ 10 pts Details 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 r is the annual interest rate earned by the account. Let A = $5, 000 and r = 7.3%. A) What is the value of the account, in dollars, after 9 years? Give your answer rounded to two decimal places. Answer S B) What is the exact instantaneous rate of change of the value of the account at exactly 13 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 $717.05 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 13 (i.e. slope of the secant line connecting the points)? (Round to the nearest penny/cent.) Answer: dollars per year. (Round to two decimal places.)