Question
Find the amount of tax and the tax rate. Round to two decimal places. Cost of item: \( \$ 92 \) Selling price: \( \$ 108.05 \) Tax amount: \( \$ \square \) Tax rate: Next Question
Ask by Johnston Horton. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Tax amount: $16.05
Tax rate: 17.45%
Solution
To find the amount of tax and the tax rate, we can use the formula:
\[ \text{Tax Amount} = \text{Selling Price} - \text{Cost of Item} \]
Given:
- Cost of item: $92
- Selling price: $108.05
Let's calculate the tax amount and then find the tax rate.
Calculate the value by following steps:
- step0: Calculate:
\(108.05-92\)
- step1: Subtract the numbers:
\(16.05\)
The tax amount is $16.05.
Now, to find the tax rate, we can use the formula:
\[ \text{Tax Rate} = \frac{\text{Tax Amount}}{\text{Cost of Item}} \times 100\% \]
Substitute the values:
\[ \text{Tax Rate} = \frac{16.05}{92} \times 100\% \]
Let's calculate the tax rate.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{16.05}{92}\times 100\)
- step1: Divide the terms:
\(\frac{321}{1840}\times 100\)
- step2: Reduce the numbers:
\(\frac{321}{92}\times 5\)
- step3: Multiply:
\(\frac{321\times 5}{92}\)
- step4: Multiply:
\(\frac{1605}{92}\)
The tax rate is approximately 17.45%.
Therefore, the tax amount is $16.05 and the tax rate is approximately 17.45%.
Reviewed and approved by the UpStudy tutoring team
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The tax amount can be calculated by taking the difference between the selling price and the cost of the item. So, \( \$ 108.05 - \$ 92 = \$ 16.05 \). This means the tax amount is \( \$ 16.05 \). To find the tax rate, divide the tax amount by the cost of the item and then multiply by 100 to get the percentage. Thus, \( \left( \frac{16.05}{92} \right) \times 100 \approx 17.43\% \). Therefore, the tax rate is approximately \( 17.43\% \).