In Las Vegas, Nevada, stores charge a

\[4.6\%\] state sales tax and a
\[3.65\%\] county sales tax. Yuki is purchasing a handbag priced at
\[\$220\] before tax.
How much sales tax does Yuki pay for her handbag purchase?

1 answer

To calculate the sales tax, we need to find the amount of tax based on the price of the handbag.

The state sales tax is 4.6%, which can be expressed as 0.046 in decimal form. So, the tax amount based on the handbag price is:
\(0.046 \times \$220 = \$10.12\)

Similarly, the county sales tax is 3.65%, or 0.0365 as a decimal. So, the tax amount based on the handbag price is:
\(0.0365 \times \$220 = \$8.03\)

Adding the state and county tax amounts together, Yuki will pay a total of:
\(\$10.12 + \$8.03 = \$18.15\)

Therefore, Yuki pays \$18.15 in sales tax for her handbag purchase.