Answer:
$18.15
Step-by-step explanation:
We have been given that 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.
To find sales tax paid by Yuki for her handbag purchase we will find 4.6% of $220 and 3.65% of $220 and add amount of both taxes.
[tex]\text{Total sales tax amount}=\text{State sales tax amount}+\text{ County sales tax amount}[/tex]
[tex]\text{State sales tax for handbag}=220\times\frac{4.6}{100}[/tex]
[tex]\text{State sales tax for handbag}=22\times 0.46[/tex]
[tex]\text{State sales tax for handbag}=10.12[/tex]
Now let us find county sales tax for handbag purchase.
[tex]\text{County sales tax for handbag}=220\times\frac{3.65}{100}[/tex]
[tex]\text{County sales tax for handbag}=22\times 0.365[/tex]
[tex]\text{County sales tax for handbag}=8.03[/tex]
Now let us add both amount to get total tax paid by Yuki.
[tex]\text{Total sales tax}=10.12+8.03[/tex]
[tex]\text{Total sales tax}=18.15[/tex]
Therefore, Yuki paid $18.15 sales tax for her handbag purchase.