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The problem you provided involves calculating the bimonthly interest rate based on an investment. Let's break it down:

Pedro invests **s/ 15,000** and receives **s/ 20,000** after **14 months**. We are tasked with finding the bimonthly interest rate.

### Solution:

We will use the compound interest formula:
\[
A = P(1 + i)^n
\]
Where:
- \( A \) is the final amount (s/ 20,000),
- \( P \) is the initial principal (s/ 15,000),
- \( i \) is the interest rate per period (bimonthly),
- \( n \) is the number of periods (in this case, 7 bimesters because 14 months equals 7 bimesters).

1. Substitute the known values into the formula:
\[
20000 = 15000(1 + i)^7
\]

2. Solve for \( i \):
\[
\frac{20000}{15000} = (1 + i)^7
\]
\[
\frac{4}{3} = (1 + i)^7
\]
\[
\left( \frac{4}{3} \right)^{\frac{1}{7}} = 1 + i
\]
\[
i = \left( \frac{4}{3} \right)^{\frac{1}{7}} - 1
\]

Now, let's compute the exact value of \( i \).The bimonthly interest rate \( i \) is approximately **4.20%**.

Would you like further details or have any questions about this solution?

Here are 5 related questions to deepen your understanding:

1. How would the formula change if the interest were calculated quarterly instead of bimonthly?
2. What would be the total interest earned over 14 months?
3. How would the bimonthly rate change if Pedro received s/ 22,000 instead of s/ 20,000?
4. How does compound interest differ from simple interest in this type of problem?
5. What would the investment grow to if it continued for another 6 months at the same bimonthly rate?

**Tip:** When calculating compound interest, always ensure the number of periods matches the interest rate’s time frame (e.g., months, bimesters, quarters).

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 of s/ 15,000 over 14 months with a final amount of s/ 20,000. Understand the compound interest formula used and the step-by-step solution provided. Suitable for Grades 10-12.

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