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A rug costs [tex]\$450[/tex]. The sales tax rate is [tex]5 \frac{1}{2} \%[/tex]. How much will the sales tax be?

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GinnyAnswer
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$.
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