Math Problem Statement

Yolanda deposits $8000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 3 years?

Solution

The problem involves calculating simple interest, and the formula for simple interest is:

I=P×r×tI = P \times r \times t

Where:

  • II is the interest.
  • PP is the principal amount (initial deposit).
  • rr is the annual interest rate (expressed as a decimal).
  • tt is the time in years.

Given:

  • P=8000P = 8000
  • r=2%=0.02r = 2\% = 0.02
  • t=3t = 3 years

Now, let's plug these values into the formula:

I=8000×0.02×3=480I = 8000 \times 0.02 \times 3 = 480

So, Yolanda will be paid $480 in interest over the first 3 years.

Would you like further details or explanations on this? Here are some related questions you might find useful:

  1. How does compound interest differ from simple interest?
  2. What happens if the interest rate is increased to 5%?
  3. How would the interest change if the deposit amount was $10,000?
  4. Can you calculate interest for a longer time period, like 5 years?
  5. How is simple interest used in loans compared to savings accounts?

Tip: Always remember to convert percentages into decimals when using them in formulas!

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentage
Basic Algebra

Formulas

I = P × r × t

Theorems

Simple Interest Formula

Suitable Grade Level

Grades 7-9