Math Problem Statement

For simple interest, the formula can also be I=P+Prt

Solution

There seems to be a slight confusion in your formula. The correct formulas for simple interest are:

  1. Interest Only: I=P×R×TI = P \times R \times T

  2. Total Amount (Principal + Interest): A=P+(P×R×T)A = P + (P \times R \times T)

Where:

  • II is the interest.
  • PP is the principal amount (the initial sum of money).
  • RR is the annual interest rate (in decimal form).
  • TT is the time the money is invested or borrowed for, in years.
  • AA is the total amount (principal + interest).

Example:

If you invest $1,000 at an annual interest rate of 5% for 3 years, let's calculate both the interest earned and the total amount:

  1. Interest Only: I=1000×0.05×3=150I = 1000 \times 0.05 \times 3 = 150

  2. Total Amount: A=1000+150=1150A = 1000 + 150 = 1150

So, the interest earned over 3 years is $150, and the total amount after 3 years is $1,150.

Would you like more details or have any questions?

Related Questions:

  1. How does simple interest compare to compound interest in terms of growth over time?
  2. What factors should be

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Math Problem Analysis

Mathematical Concepts

Simple Interest

Formulas

I = PRT
A = P + I

Theorems

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Suitable Grade Level

High School