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We are asked to calculate the **bimonthly interest rate** for an investment problem, given the following dataWe are asked to calculate the **bimonthly interest rate** for an investment problem, given the following 

- **Initial investment (P)** = 15,000 soles
- **Final amount (A)** = 20,000 soles
- **Time (t)** = 14 months

### Formula for interest rate:
We will use the **simple interest formula**:
\[
A = P \left(1 + r \cdot t\right)
\]
Where:
- \( A \) is the final amount (20,000 soles)
- \( P \) is the initial investment (15,000 soles)
- \( r \) is the interest rate per period (bimonthly rate, which we need to find)
- \( t \) is the number of periods in terms of the bimonthly units (we will calculate this).

### Step 1: Convert time to bimonthly periods
Since 1 bimonth equals 2 months, we convert 14 months into bimonthly periods:
\[
t = \frac{14}{2} = 7 \text{ bimonthly periods}
\]

### Step 2: Use the formula
Rearrange the simple interest formula to solve for the interest rate \( r \):
\[
r = \frac{A - P}{P \cdot t}
\]
Substitute the known values:
\[
r = \frac{20,000 - 15,000}{15,000 \cdot 7}
\]

Let me calculate the result.The bimonthly interest rate is approximately **4.76%**.

Would you like further details or have any questions about the steps? 

Here are some related questions you might consider:
1. How would the calculation change if the interest rate were compounded monthly?
2. What would the total amount be after 2 years with the same bimonthly interest rate?
3. How can we apply this interest rate to continuous compounding?
4. How would the result change if the interest rate were annual instead of bimonthly?
5. How do you adjust the formula for different time periods (e.g., quarterly, annually)?

**Tip**: Always ensure you're converting time units correctly (e.g., months to bimonths) when dealing with interest calculations.

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 Pedro's investment, where he invests s/ 15,000 and receives s/ 20,000 after 14 months. This detailed step-by-step guide covers time conversion and the simple interest formula. Suitable for students in Grades 10-12.

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