Math Problem Statement

simple interest

Solution

Simple interest is a way to calculate the interest charged or earned on a principal amount over a period of time. It is calculated using the formula:

Simple Interest (SI)=P×R×T100\text{Simple Interest (SI)} = \frac{P \times R \times T}{100}

Where:

  • PP is the principal amount (the initial amount of money)
  • RR is the rate of interest per year (as a percentage)
  • TT is the time the money is invested or borrowed for, in years

Example:

Suppose you invest $1,000 at an annual interest rate of 5% for 3 years. The simple interest would be calculated as follows:

SI=1000×5×3100=150\text{SI} = \frac{1000 \times 5 \times 3}{100} = 150

So, the interest earned over 3 years would be $150.

Would you like more details or have any questions?

Here are five related questions you might find useful:

  1. How does simple interest differ from compound interest?
  2. How can the time period in simple interest be adjusted for months or days?
  3. What are the real-world applications of simple interest?
  4. How does changing the interest rate affect the simple interest?
  5. Can you calculate simple interest for different currencies?

Tip: Simple interest is often used in scenarios where the interest isn't compounded, like in certain loans or short-term investments.

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Math Problem Analysis

Mathematical Concepts

Simple Interest

Formulas

Simple Interest formula SI = (P * R * T) / 100

Theorems

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Suitable Grade Level

Grades 7-9