Pregunta
What sales tax, at a rate of \( 5 \frac{1}{2} \% \), must you pay on the purchase of a computer hard disk drive costing \( \$ 257.75 \) ? The sales tax is \( \$ \square \). (Round to the nearest cent as needed.)
Ask by Moran King. in the United States
Jan 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The sales tax is \$14.18.
Solución
To calculate the sales tax on a computer hard disk drive costing \$257.75 at a rate of \( 5 \frac{1}{2} \% \) (which is 5.5%), follow these steps:
1. **Convert the percentage to a decimal:**
\[
5.5\% = 0.055
\]
2. **Multiply the cost by the decimal tax rate:**
\[
\$257.75 \times 0.055 = \$14.17625
\]
3. **Round to the nearest cent:**
\[
\$14.17625 \approx \$14.18
\]
**The sales tax is \$14.18.**
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To find the sales tax amount, you first convert the percentage into decimal form. \( 5 \frac{1}{2} \% \) is equal to \( 0.055 \) when converted (5.5% divided by 100). Then, multiply the cost of the hard disk drive by the sales tax rate: \[ \text{Sales Tax} = 257.75 \times 0.055 = 14.19375 \] Now, round this amount to the nearest cent, which gives you: \[ \text{Sales Tax} \approx 14.19 \] So, the sales tax is \( \$ 14.19 \).
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