sumansmith5217 sumansmith5217
  • 22-07-2020
  • Business
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How many years will it take for an initial investment of $5,000 to double the amount if it is invested at 6.5 percent compounded annually?

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Аноним Аноним
  • 22-07-2020

Answer:

11 years is the required answer.

Explanation:

[tex]A=P(1+\frac{r}{n})^{n\cdot t}[/tex]   is the formula for compound interest.

Where, r is the interest rate in decimals and n is the number of times interest is compounded anually. Putting the values, we get:

[tex]2\times 5000=5000\left(1+\frac{0.065}{1}\right)^{1\times t}\\\\\Rightarrow t=11\:years[/tex]

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