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? A.$1 B.$5 C.$10 D.$50
Solution
The formula for calculating simple interest is:
Where:
- is the interest,
- is the principal amount (initial deposit),
- is the interest rate (in decimal form),
- is the time in years.
For this problem:
- ,
- (since 5% = 0.05),
- year.
Now calculate the interest:
Thus, Ciara will earn $5 in interest after 1 year.
The correct answer is B. $5.
Would you like more details on simple interest or another explanation?
Here are 5 related questions to explore further:
- How is simple interest different from compound interest?
- How much interest would Ciara earn in 3 years with the same conditions?
- What would the interest be if the rate were 7% instead of 5%?
- If Ciara deposits $200 instead of $100, how would the interest change?
- What formula is used to calculate the total amount in the account after interest?
Tip: Always convert percentages to decimal form before using them in formulas.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Percentages
Basic Arithmetic
Formulas
I = P × r × t (Simple Interest Formula)
Theorems
-
Suitable Grade Level
Grades 6-8
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