Math Problem Statement
Solution
To solve the missing information in the loan table, we need to use the formula for simple interest:
Where:
- is the interest ($220),
- is the principal ($3,300),
- is the interest rate (to be calculated),
- is the time (167 days).
We'll also calculate the maturity value, which is the total amount to be repaid at the end of the loan:
Let's start by solving for the rate . I'll calculate that now.The interest rate is approximately 14.4% (rounded to the nearest tenth).
Next, we'll calculate the maturity value, which is the sum of the principal and the interest.The maturity value of the loan is $3,520.
Here are the calculated results:
- Interest rate: 14.4%
- Maturity value: $3,520
Would you like further details or have any questions?
Here are 5 related questions to expand the topic:
- How does the interest method (exact vs. ordinary) affect loan calculations?
- What happens to the maturity value if the interest rate is compounded instead of simple interest?
- How would the interest change if the loan duration was 365 days?
- Can you explain the difference between nominal and effective interest rates?
- How would increasing the principal affect the total interest paid?
Tip: When calculating simple interest, always ensure the time is properly adjusted to the appropriate year-length (360 or 365 days) depending on the loan agreement.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Percentage Calculation
Formulas
I = P * r * (t / 360)
Maturity Value = Principal + Interest
Theorems
-
Suitable Grade Level
High School
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