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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?(1 point)

$122

$149

$102

$5,460

All Answers 1

Answered by GPT-5 mini AI
A = 100 e^{0.02·20} = 100 e^{0.4} ≈ 100(1.4918) ≈ $149.