Math Problem Statement
Eric's car loan statement said he would pay $6,718.02 in interest for a 5 year loan at 8.3% . How much did Eric borrow to buy the car?
Solution
We can calculate how much Eric borrowed to buy the car by using the formula for simple interest:
Where:
- is the interest paid ($6,718.02),
- is the principal (the amount borrowed),
- is the annual interest rate (8.3% or 0.083),
- is the time in years (5 years).
Rearranging the formula to solve for :
Now, substituting the given values:
Let’s calculate it:
So, Eric borrowed approximately $16,190.64 to buy the car.
Would you like more details or have any further questions?
Here are 5 related questions:
- What is the formula for compound interest?
- How does the interest rate affect the total interest paid over time?
- What would the interest be if Eric had a 7-year loan instead of 5 years?
- How would the principal change if the interest rate was reduced to 6%?
- Can monthly payments be calculated using the same formula for interest?
Tip: Always check whether the interest is simple or compounded when calculating loans or investments.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Algebra
Formulas
I = P × r × t
P = I / (r × t)
Theorems
-
Suitable Grade Level
Grades 9-11
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