Math Problem Statement

Ciara deposits $100 into a savings account that earns 5% simple interest per year.

How much interest will Ciara earn in 1 year?

Solution

To calculate the simple interest earned in 1 year, we use the formula for simple interest:

I=P×r×tI = P \times r \times t

Where:

  • II is the interest earned.
  • PP is the principal amount (the initial deposit).
  • rr is the annual interest rate (in decimal form).
  • tt is the time the money is invested or borrowed for, in years.

In this case:

  • P=100P = 100 (the initial deposit).
  • r=0.05r = 0.05 (5% interest per year, converted to decimal).
  • t=1t = 1 year.

Now, calculating the interest:

I=100×0.05×1=5I = 100 \times 0.05 \times 1 = 5

So, Ciara will earn $5 in interest after 1 year.

Would you like further details or clarification? Here are 5 related questions for practice:

  1. How much interest would Ciara earn in 3 years?
  2. What would be the total amount in the account after 1 year, including interest?
  3. If the interest rate increased to 6%, how much would Ciara earn in 1 year?
  4. How much would Ciara earn in 2 years if she deposited $200 instead of $100?
  5. What is the difference between simple interest and compound interest?

Tip: When working with simple interest, the interest amount remains the same each year because it is calculated only on the principal, not on the accumulated interest.

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentage
Basic Arithmetic

Formulas

Simple Interest Formula: I = P × r × t

Theorems

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Suitable Grade Level

Grades 6-8