How long will it take a $300 investment to be worth $800, if it is continuously compounded at 12% per year? | Homework.Study.com (2024)

Question:

How long will it take a {eq}\$300{/eq} investment to be worth {eq}\$800{/eq}, if it is continuously compounded at {eq}12\%{/eq} per year?

Compound interest:

Compound interest is a method that is used in the financial field. It is an interest on the principal amount and previous interest amount for the next calculation of the interest. The following formula can be used to determine the compounded amount.

{eq}A = P{e^{rt}}{/eq}

Where

{eq}\begin{align*}A &= Final\,amount\\P &= Initial\,amount\\r &= Interest\,rate\\t &= Time\end{align*}{/eq}

See Also
MATH 1830

Answer and Explanation:1

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Given data

  • The final amount is {eq}A = \$ 800.{/eq}
  • The initial amount is {eq}P = \$ 300.{/eq}
  • The interest rate is {eq}r = 12\% .{/eq}

The...

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How long will it take a $300 investment to be worth $800, if it is continuously compounded at 12% per year? | Homework.Study.com (2024)
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