Aaliyah is going to invest in an account paying an interest rate of 5% compounded continuously. How much would Aaliyah need to invest, to the nearest hundred dollars, for the value of the account to reach 181,000 in 19 years?

Solución

Aaliyah is going to invest in an account paying an interest rate of 5% compounded continuously. How much would Aaliyah need to invest, to the nearest hundred dollars, for the value of the account to reach 181, 000 in 19 years?

Solución

Principal : 70000.13

Pasos de solución

Translate the problem into an equation:

181000 = P e^{0.05 \cdot 19}

Resolver para

P, 181000 = P e^{0.05 \cdot 19} : P = 70000.13

Principal : 70000.13

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