Question
Question
Jaime’s refrigerator loan statement said that he would pay
as interest after 4 years at an interest rate of
. The
interest was calculated based on simple interest. How much did Jaime borrow to buy the refrigerator?
Jaime’s refrigerator loan statement said that he would pay
interest was calculated based on simple interest. How much did Jaime borrow to buy the refrigerator?
Ask by Whittaker Weston. in Canada
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Jaime borrowed $1,900 to buy the refrigerator.
Solution
To find out how much Jaime borrowed to buy the refrigerator, we can use the formula for simple interest:
Given:
- Simple Interest = $1,026
- Rate = 13.5% = 0.135
- Time = 4 years
We can rearrange the formula to solve for the Principal (the amount borrowed):
Substitute the given values into the formula to find the Principal.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Remove the parentheses:
- step2: Multiply the numbers:
- step3: Convert the expressions:
- step4: Multiply by the reciprocal:
- step5: Reduce the numbers:
- step6: Multiply the numbers:
Jamie borrowed $1,900 to buy the refrigerator.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To find out how much Jaime borrowed, we can use the simple interest formula:
where
is the interest,
is the principal amount (the money borrowed),
is the rate (expressed as a decimal), and
is the time in years.
Jaime’s interest
is
, the rate
is
(since
), and the time
is
years. Plugging in those values:
Now, calculate
:
To find
, divide both sides by
:
So, Jaime borrowed approximately
to buy the refrigerator.
Now, let’s dive into some neat insights!
The use of simple interest dates back centuries, and it was first used by the Babylonians, who had an incredibly sophisticated system of mathematics for their time. They calculated interest on loans by applying a certain percentage over a set period, which is essentially what Jaime is experiencing today. Think of it like money’s ancient recipe for baking a financial pie!
When it comes to buying large items on credit, like refrigerators, it can be really tempting to just look at that monthly payment. One common mistake is overlooking the total interest you’ll pay over the life of the loan. Always calculate the total cost, and feel free to negotiate interest rates or look for better loan options. Keeping your financial goals in check can help you avoid the “too-good-to-be-true” traps!