Math Problem Statement
Solution
To compute the interest rate (in %) for the loan, we can use the formula for simple interest:
Where:
- is the interest ($873),
- is the principal ($54,000),
- is the rate (which we need to find),
- is the time in years.
Given:
- ,
- ,
- (since time is 60 days, and we assume 360 days in a year for ordinary interest).
Now, solving for :
Let me calculate this for you.The interest rate for the loan is 9.7%, rounded to the nearest tenth of a percent.
Would you like more details on the calculations or have any further questions?
Here are some related questions for practice:
- How would the interest change if the loan period were extended to 90 days?
- What is the formula for compound interest, and how is it different from simple interest?
- If the principal amount were $100,000, how would the rate change for the same interest?
- How can ordinary interest be calculated using a 365-day year instead of 360 days?
- What effect does a lower interest rate have on the total interest over a longer loan period?
Tip: When using ordinary interest, remember that the time is calculated based on a 360-day year, which simplifies some financial calculations.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Simple Interest
Algebra
Formulas
Interest = Principal × Rate × Time
Rate = Interest / (Principal × Time)
Theorems
Ordinary interest assumption with 360 days in a year
Suitable Grade Level
Grades 9-12
Related Recommendation
Calculate the Annual Interest Rate for a Loan of $1,064 Over 127 Days
Calculate Simple Interest on a $34,700 Loan at 14.25% for 191 Days
Calculate Simple Interest on a 52-Day Loan of $4,800 at 5% Annual Rate
Calculate Simple Interest on a $9,200 Loan for 214 Days at 5.75% Annual Rate
Calculating Simple Interest on a $4,000 Loan at 13% for 160 Days