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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? 15.65 years (Round to two decimal places.) Approximately how long will it take to double your money if you get a \( 6.5 \% \) annual return on your investment? years (Round to two decimal places.)

Ask by Vaughn Medina. in the United States
Jan 22,2025

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Answer

To double your money: - **4.6% annual return:** Approximately **15.65 years** - **6.5% annual return:** Approximately **11.08 years** - **10.4% annual return:** Approximately **6.92 years** These estimates use the Rule of 72 for quick calculations.

Solution

To determine how long it will take to double your money using the **Rule of 72**, you can use the following formula: \[ \text{Years to Double} = \frac{72}{\text{Annual Return Rate (\%)}} \] Let's apply this to the given annual return rates: 1. **4.6% Annual Return** \[ \text{Years to Double} = \frac{72}{4.6} \approx 15.65 \text{ years} \] 2. **6.5% Annual Return** \[ \text{Years to Double} = \frac{72}{6.5} \approx 11.08 \text{ years} \] 3. **10.4% Annual Return** \[ \text{Years to Double} = \frac{72}{10.4} \approx 6.92 \text{ years} \] **Summary:** - **4.6% Return:** Approximately **15.65 years** - **6.5% Return:** Approximately **11.08 years** - **10.4% Return:** Approximately **6.92 years** These calculations provide a quick estimation of how long it will take to double your investment based on different annual return rates.

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Using the Rule of 72, you can quickly estimate the time needed to double your investment by dividing 72 by the annual interest rate. For a \( 6.5\% \) return, it would take approximately \( 72 \div 6.5 = 11.08 \) years to double your money. So, don't forget your trusty calculator when making financial decisions! Now, let’s talk about that \( 10.4\% \) return! Applying the same formula, you’d calculate \( 72 \div 10.4 \approx 6.92 \) years. That means with a higher interest rate, your money can really grow fast, letting you enjoy financial freedom earlier than you might’ve expected! Time to put that money to work!

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