A student obtained a personal loan to pay for college. The student borrowed $15,000 for 3 years at a rate of 10%. How much interest does the student owe?
Question
A student obtained a personal loan to pay for college. The student borrowed $15,000 for 3 years at a rate of 10%. How much interest does the student owe?
Solution
To determine the amount of interest the student owes, we can use the simple interest formula:
Where:
- Principal (P) is the amount borrowed, which is $15,000.
- Rate (R) is the annual interest rate, which is 10% or 0.10 in decimal form.
- Time (T) is the duration of the loan in years, which is 3 years.
Now, substituting the given values into the formula:
First, multiply the principal by the rate:
Next, multiply the result by the time:
Therefore, the student owes $4,500 in interest.
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