8. [-/4 Points] DETAILS LCALCCON5 3.2.027. A lump sum of $1000 is invested at 4.6% compounded continuously. (a) Write the function for the model that gives the future value of the investment in dollars after t years. F(t) = dollars (b) Write a model for the rate of change of the value of the investment. (Hint: Let b = 0.046 and use the rule for f(x) = bx.) F'(t)= dollars per year (c) How much is the investment worth after 9 years? (Round your answer to two decimal places.) $ (d) How quickly is the investment growing after 9 years? (Round your answer to three decimal places.) per year $ Need Help? Read It