To find out how much the sales tax will be for a rug that costs [tex]$450 with a sales tax rate of 5.5%, follow these steps:
1. Convert the percentage to a decimal:
Sales tax rate \(5\frac{1}{2}\% \) can be written as \(5 + \frac{1}{2} = 5.5\%\).
To convert this percentage to a decimal, we divide by 100:
\[
5.5\% = \frac{5.5}{100} = 0.055
\]
2. Calculate the sales tax:
Multiply the cost of the rug by the sales tax rate in decimal form:
\[
\text{Sales tax} = \text{Cost of the rug} \times \text{Sales tax rate}
\]
\[
\text{Sales tax} = 450 \times 0.055 = 24.75
\]
Therefore, the sales tax on a $[/tex]450 rug with a 5.5% sales tax rate is [tex]$\$[/tex]24.75$.
