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:
Where:
- is the interest earned.
- is the principal amount (the initial deposit).
- is the annual interest rate (in decimal form).
- is the time the money is invested or borrowed for, in years.
In this case:
- (the initial deposit).
- (5% interest per year, converted to decimal).
- year.
Now, calculating the interest:
So, Ciara will earn $5 in interest after 1 year.
Would you like further details or clarification? Here are 5 related questions for practice:
- How much interest would Ciara earn in 3 years?
- What would be the total amount in the account after 1 year, including interest?
- If the interest rate increased to 6%, how much would Ciara earn in 1 year?
- How much would Ciara earn in 2 years if she deposited $200 instead of $100?
- 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
-
Suitable Grade Level
Grades 6-8
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