https://r2.erweima.ai/mathbot/image/1726695630224fmv5jniv.jpg

The problem asks to determine the monthly simple interest rate based on the following information:

- **Capital (Principal)**: S/. 23,840
- **Interest earned**: S/. 1,845
- **Period**: From April 2 to December 19 of the same year.

We will use the simple interest formula:

\[
I = P \cdot r \cdot t
\]

Where:
- \( I \) is the interest earned (S/. 1,845),
- \( P \) is the principal (S/. 23,840),
- \( r \) is the monthly interest rate (which we need to find),
- \( t \) is the time in months (calculated based on the period given).

### Step 1: Calculate the time period in months
The period from **April 2** to **December 19** is:
- From April 2 to April 30: \( 30 - 2 = 28 \) days (approximately 0.93 months),
- From May to November: 7 full months,
- From December 1 to December 19: 19 days (approximately 0.63 months).

Total time \( t = 0.93 + 7 + 0.63 = 8.56 \) months.

### Step 2: Solve for the monthly interest rate
Using the formula \( I = P \cdot r \cdot t \), we can solve for \( r \):

\[
r = \frac{I}{P \cdot t} = \frac{1,845}{23,840 \cdot 8.56}
\]

Let's calculate this value.The monthly simple interest rate is approximately **0.904%**.

Would you like more details, or do you have any further questions about this problem?

Here are five related questions you could explore:
1. How would the interest change if the rate were compounded monthly?
2. What would the interest rate be if the period were only 6 months?
3. How can the total interest be calculated if the principal changes during the period?
4. What is the difference between simple and compound interest for the same period?
5. How can the annual interest rate be calculated from the monthly rate?

**Tip**: To convert monthly interest rates to annual rates, simply multiply the monthly rate by 12.

Un capital de S/. 23 840 ha producido S/. 1 845 de interés del 02 de Abril al 19 de Diciembre del mismo año. Determinar la tasa mensual de interés simple.

Learn how to determine the monthly simple interest rate for a capital of S/. 23,840 that produced S/. 1,845 in interest from April 2 to December 19 of the same year. Includes step-by-step calculation using the simple interest formula I = P * r * t.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation