https://file.aiquickdraw.com/mathbot/file/1727934742161wiv36548.jpg

The problem asks how much principal Juan must invest to earn Php 7,200 in interest after 4 years at an interest rate of 6%.

We can use the simple interest formula:

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

Where:
- \(I\) is the interest (Php 7,200),
- \(P\) is the principal (the amount to find),
- \(r\) is the annual interest rate (6% or 0.06),
- \(t\) is the time in years (4 years).

### Step 1: Rearranging the formula
To find the principal \(P\), rearrange the formula:

\[
P = \frac{I}{r \times t}
\]

### Step 2: Substituting the known values

\[
P = \frac{7,200}{0.06 \times 4}
\]
\[
P = \frac{7,200}{0.24}
\]
\[
P = 30,000
\]

So, Juan must invest Php 30,000 as the principal.

Would you like further details or have any questions?

Here are five related questions for further practice:
1. What would the principal be if the interest rate was 8%?
2. How much interest would Juan earn if he invested Php 40,000 for 4 years at 6%?
3. What is the total amount Juan will have after 4 years if he invests Php 30,000 at 6%?
4. If Juan wants Php 10,000 in interest after 4 years, how much should he invest at 6%?
5. How does the interest change if the time is reduced to 3 years?

**Tip:** When solving interest-related problems, always ensure you use the correct form of the interest rate (i.e., converting percentages into decimals).

Juan wants to save up for his child's future education. He plans to invest some money that will earn him an interest of Php 7,200 in 4 years at an interest rate of 6%. How much principal must Juan invest?

Learn how to calculate the principal investment required to earn Php 7,200 in interest over 4 years at a 6% interest rate. This step-by-step solution covers key concepts in simple interest and algebra, suitable for Grades 9-10 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation