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) = Aet, where r is the annual interest rate earned by the account. Let A = $19,000 and r = 9.4%. 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. dollars per year C) At what time, in years, is the instantaneous rate of change of the value of the account increasing by $53.918.76 per year? If necessary, round your answer to two decimal places. Answer:
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) = Aet, where r is the annual interest rate earned by the account. Let A = $19,000 and r = 9.4%. 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. dollars per year C) At what time, in years, is the instantaneous rate of change of the value of the account increasing by $53.918.76 per year? If necessary, round your answer to two decimal places. Answer:
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 66SE: Kyoko has 10,000 that she wants to invest. Her bankhas several investment accounts tochoose from,...
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