Let’s break down the process step by step to determine how much Ellie will need to borrow to purchase the car.
1. Calculate the Sales Tax Amount:
- The cost of the car is \[tex]$10,000.
- The sales tax rate is 8%.
To find the amount of sales tax:
\[
\text{Sales Tax} = \text{Car Cost} \times \text{Tax Rate}
\]
\[
\text{Sales Tax} = 10{,}000 \times 0.08 = 800
\]
2. Calculate the Total Cost Including Sales Tax and Fees:
- We need to add the sales tax and additional fees to the cost of the car.
- The fees amount to \$[/tex]450.
To find the total cost:
[tex]\[
\text{Total Cost} = \text{Car Cost} + \text{Sales Tax} + \text{Fees}
\][/tex]
[tex]\[
\text{Total Cost} = 10{,}000 + 800 + 450 = 11{,}250
\][/tex]
3. Determine the Amount to Borrow:
- Ellie has saved \[tex]$2,000.
- Subtract her savings from the total cost to find out how much she needs to borrow.
\[
\text{Amount to Borrow} = \text{Total Cost} - \text{Savings}
\]
\[
\text{Amount to Borrow} = 11{,}250 - 2{,}000 = 9{,}250
\]
Therefore, Ellie will need to borrow \$[/tex]9,250.
The correct answer is:
[tex]\[
\$9,250
\][/tex]
