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The problem states that Pedro invests **S/ 15,000** and after 14 months he receives **S/ 20,000**. We are asked to calculate the **bimonthly interest rate** (tasa de interés bimestral).

### Steps to solve:

1. **Identify the known values:**
   - Initial amount (Principal, \( P \)): S/ 15,000
   - Final amount (Future value, \( F \)): S/ 20,000
   - Time: 14 months (which is equivalent to 7 bimesters since each bimester is 2 months)

2. **Interest rate formula:**
   We will use the compound interest formula, since interest rates are typically calculated in this way:

   \[
   F = P \times (1 + i)^n
   \]
   Where:
   - \( F \) is the final amount (S/ 20,000),
   - \( P \) is the initial amount (S/ 15,000),
   - \( i \) is the interest rate per bimester,
   - \( n \) is the number of bimesters (7 bimesters).

3. **Rearranging the formula to solve for the interest rate \( i \):**

   \[
   \frac{F}{P} = (1 + i)^n
   \]
   \[
   \left( \frac{F}{P} \right)^{\frac{1}{n}} = 1 + i
   \]
   \[
   i = \left( \frac{F}{P} \right)^{\frac{1}{n}} - 1
   \]

4. **Substitute the values:**
   - \( F = 20,000 \)
   - \( P = 15,000 \)
   - \( n = 7 \)

Now, let's calculate the bimonthly interest rate.The bimonthly interest rate is approximately **4.20%**.

Would you like further clarification on the process or details about compound interest? 

Here are some related questions you might find useful:
1. How does compound interest differ from simple interest?
2. How would the interest rate change if the investment period were shorter?
3. Can the same formula be used for different time intervals like quarterly or yearly?
4. What happens to the final amount if the interest is compounded more frequently?
5. How does inflation affect real interest rates?

**Tip**: To verify your understanding, always plug the interest rate back into the compound interest formula to ensure it produces the correct final amount.

Pedro invierte S/ 15,000 y al cabo de 14 meses recibe S/ 20,000. Calcular la tasa de interés bimestral.

Learn how to calculate the bimonthly interest rate for an investment where Pedro invests S/ 15,000 and receives S/ 20,000 after 14 months. This problem uses compound interest formulas and exponential functions. Suitable for students in Grades 10-12.

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