An initial investment amount P, an annual interest rate r, and a time t are given. Find the future value of the investment when interest is compounded (a) annually, (b) monthly, (c) daily, and (d) continuously. Then find (e) the doubling time T for the given interest rate. P = $5500, r = 2.35%, t = 8 yr a) The future value of the investment when interest is compounded annually is $ [ ] (Type an integer or a decimal. Round to the nearest cent as needed). b) The future value of the investment when interest is compounded monthly is $ [ ] (Type an integer or a decimal. Round to the nearest cent as needed). c) The future value of the investment when interest is compounded daily is $ [ ] (Type an integer or a decimal. Round to the nearest cent as needed). d) The future value of the investment when interest is compounded continuously is $ [ ] (Type an integer or a decimal. Round to the nearest cent as needed). e) Find the doubling time for the given interest rate. T = [ ] yr (Type an integer or decimal rounded to two decimal places as needed). Enter your answer in each of the answer boxes.
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- The formula for compound interest annually is \( A = P(1 + r)^t \). - Given \( P = 5500 \), \( r = 0.0235 \), and \( t = 8 \): \[ A = 5500(1 + 0.0235)^8 \] \[ A = 5500(1.0235)^8 \] \[ A \approx 5500 \times 1.20896 \approx 6649.28 \] The Show more…
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