Math Problem Statement

Mr. Dunn invested $1,000 at an annual interest rate of 5% for 3 years.

How much simple interest does Mr. Dunn earn after 3 years?

Solution

To calculate the simple interest Mr. Dunn earns after 3 years, we use the formula for simple interest:

Simple Interest=P×r×t\text{Simple Interest} = P \times r \times t

where:

  • PP is the principal (initial investment),
  • rr is the annual interest rate (in decimal form),
  • tt is the time the money is invested for, in years.

For Mr. Dunn:

  • P=1000P = 1000,
  • r=5%=0.05r = 5\% = 0.05,
  • t=3t = 3 years.

Now, calculating the simple interest:

Simple Interest=1000×0.05×3=150\text{Simple Interest} = 1000 \times 0.05 \times 3 = 150

So, Mr. Dunn earns $150 in simple interest after 3 years.

Would you like more details or have any questions?

Here are 5 related questions to explore further:

  1. How much total amount will Mr. Dunn have after 3 years (principal + interest)?
  2. How does compound interest differ from simple interest in this context?
  3. What would the simple interest be if the interest rate were 6% instead of 5%?
  4. How much interest would Mr. Dunn earn after 5 years at the same rate?
  5. What is the formula for calculating compound interest?

Tip: Always check whether interest is compounded or simple—this makes a big difference over time!

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentage
Time

Formulas

Simple Interest = P × r × t

Theorems

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Suitable Grade Level

Grades 5-7