Question
Dante bought a desktop computer and a laptop computer. Before finance charges, the laptop cost
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Note that the ALEKS graphing calculator can be used to make computations easier.
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Note that the ALEKS graphing calculator can be used to make computations easier.
Ask by Mathis Best. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The desktop costs $1,820 and the laptop costs $2,270 before finance charges.
Solution
Let’s solve the problem step-by-step.
Let:
-
= Cost of the desktop before finance charges. -
= Cost of the laptop before finance charges.
Given:
- The laptop costs $450 more than the desktop:
- The interest rates:
- Desktop: 9% per year
- Laptop: 6% per year
- Total finance charges for one year: $300.
Finance Charges Calculation:
Substitute
Now, find
Verification:
- Desktop finance charge:
- Laptop finance charge:
- Total finance charges:
(matches the given total)
Answer:
- Desktop Cost: $1,820
- Laptop Cost: $2,270
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Mind Expander
Let’s denote the cost of the desktop computer as
-
- The finance charges can be expressed as
To solve this, we can substitute the expression for
This simplifies to:
Subtracting 27 from both sides:
Now, divide by 0.15:
Now that we have the cost of the desktop, we can find the cost of the laptop:
So, the final answer is that the desktop computer costs
