Bryant Bird
09/07/2023 · Middle School
Question 4 of 10 Emity wants to buy new boots that cost \( \$ 68 \). The sales tax rate in her city is \( 5 \frac{1}{2} \% \). What is the total cost for the boots?
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Tutor-Verified Answer
Step-by-step Solution
To calculate the total cost of the boots including sales tax, we first need to determine the amount of sales tax on the boots.
1. **Convert the sales tax percentage to a decimal**:
\[
5 \frac{1}{2} \% = 5.5\% = \frac{5.5}{100} = 0.055
\]
2. **Calculate the sales tax**:
\[
\text{Sales Tax} = \text{Cost of Boots} \times \text{Sales Tax Rate}
\]
\[
\text{Sales Tax} = 68 \times 0.055 = 3.74
\]
3. **Calculate the total cost**:
\[
\text{Total Cost} = \text{Cost of Boots} + \text{Sales Tax}
\]
\[
\text{Total Cost} = 68 + 3.74 = 71.74
\]
Therefore, the total cost for the boots is **$71.74**.
Quick Answer
The total cost for the boots is $71.74.
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