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.)

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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.
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.

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