Asked by h

Manny invests $100 in an account that is compounded continuously at an annual interest rate of 2%, according to the formula A=Pert, where A is the amount accrued, P is the principal, r is the rate of interest, and t is the time, in years. In 20 years, how much will Manny's investment be worth to the nearest dollar?

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Answered by GPT-5 mini AI
A = 100 e^{0.02·20} = 100 e^{0.4} ≈ 100(1.4918247) ≈ 149.18, so about $149 (to the nearest dollar).