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What sales tax, at a rate of [tex]9 \frac{1}{2} \%[/tex], must you pay on the purchase of a computer hard disk drive costing [tex]\[tex]$256.25[/tex]?

The sales tax is [tex]\$[/tex] \square \square[/tex].

(Round to the nearest cent as needed.)

Sagot :

To find the sales tax for a computer hard disk drive costing \[tex]$256.25 with a sales tax rate of \( 9 \frac{1}{2} \% \), follow these steps: 1. Convert the percentage to a decimal: \[ 9 \frac{1}{2} \% = 9.5 \% = \frac{9.5}{100} = 0.095 \] 2. Calculate the sales tax: Multiply the cost of the hard disk drive by the decimal form of the tax rate. \[ \text{Sales tax} = \$[/tex]256.25 \times 0.095 = \[tex]$24.34375 \] 3. Round the sales tax to the nearest cent: Since we want the result to be in dollars and cents, we need to round \$[/tex]24.34375 to the nearest cent.
[tex]\[ 24.34375 \text{ rounds to } 24.34 \][/tex]

Thus, the sales tax you must pay on the purchase of the computer hard disk drive is \$24.34.