Math Problem Statement

Calculate the simple interest earned. Round to the nearest cent.

P = $8100, r = 7%, t = 1 year

Solution

The formula for calculating simple interest is:

I=P×r×tI = P \times r \times t

where:

  • PP is the principal amount (initial investment),
  • rr is the interest rate (in decimal form), and
  • tt is the time in years.

Given:

  • P=8100P = 8100,
  • r=7%=0.07r = 7\% = 0.07,
  • t=1t = 1 year.

Plugging in the values:

I=8100×0.07×1=567I = 8100 \times 0.07 \times 1 = 567

Answer: The simple interest earned is $567.00.

Would you like further details on any part of this calculation?


Here are some related questions for practice:

  1. What would the interest be if the rate was 5% instead?
  2. How much total amount would you have after 2 years at 7%?
  3. If the principal was $10,000, how much interest would be earned at 7% in one year?
  4. What would the interest be if the time was extended to 3 years?
  5. How is simple interest different from compound interest?

Tip: To convert a percentage to a decimal for calculations, divide by 100. For example, 7% becomes 0.07.

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Basic Algebra

Formulas

I = P * r * t

Theorems

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Suitable Grade Level

Grades 5-7