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?

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.