Assume you invest $210 at the end of each year for 10 years at an annual interest rate of r. The amount of money in the

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Assume You Invest 210 At The End Of Each Year For 10 Years At An Annual Interest Rate Of R The Amount Of Money In The 1 (25.98 KiB) Viewed 37 times

Assume you invest $210 at the end of each year for 10 years at an annual interest rate of r. The amount of money in the account after 10 years is A=r210[(1+r)10−1]​. Your goal is to have $3089 in your account after 10 years. (a) Let f be the function such that f(x)=r210[(1+r)10−1]​. Using the Intermediate Value Theorem, determine whether there is an interest rate r in (0.01,0.10), between 1% and 10%, that allows you to reach your financial goal. Choose the correct answer below. 'A. Yes, because the function is continuous on [0.01,0.10] and 3089 is between f(0.01) and f(0.10). B. Yes, because f(0.01)<210<f(0.10). C. No, it is not possible to reach the goal of $3089. D. No, the value of r is greater than 10%. (b) Use a calculator to estimate the interest rate required to reach your financial goal. % (Type an integer or decimal rounded to two decimal places as needed.)