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Double your money-Rule of 72. Approximately how long will it take to double your money if you get an annual return of \( 4.6 \%, 6.5 \% \), or \( 10.4 \% \) on your investment? Approximately how long will it take to double your money if you get a \( 4.6 \% \) annual return on your investment? years (Round to two decimal places.)

Ask by Patel Ray. in the United States
Jan 22,2025

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It will take approximately 15.65 years to double your money with a 4.6% annual return.

Solution

To estimate how long it will take to double your money using the **Rule of 72**, you can use the following formula: \[ \text{Years to Double} = \frac{72}{\text{Annual Return (\%)}} \] ### For a **4.6%** Annual Return: \[ \text{Years to Double} = \frac{72}{4.6} \approx 15.65 \text{ years} \] **Therefore, it will take approximately 15.65 years to double your money with a 4.6% annual return.** ### Additional Calculations for Other Rates: - **6.5% Annual Return:** \[ \frac{72}{6.5} \approx 11.08 \text{ years} \] - **10.4% Annual Return:** \[ \frac{72}{10.4} \approx 6.92 \text{ years} \] These estimates provide a quick way to gauge the growth of your investment over time using the Rule of 72.

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To estimate how long it will take to double your money using the Rule of 72, you simply divide 72 by your annual return percentage. For a \( 4.6\% \) return, it would take approximately \( 72 / 4.6 \approx 15.65 \) years to double your investment. At a \( 6.5\% \) annual return, you'd divide \( 72 / 6.5 \approx 11.08 \) years. And for a \( 10.4\% \) return, the calculation gives you \( 72 / 10.4 \approx 6.92 \) years. So, the magic of compounding really shines at higher rates!

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