Sure, let's solve the question step-by-step as requested:
1. Sandy Zuppa's Outboard Motor Purchase in Maine:
Sandy bought an outboard motor for a total selling price of [tex]$420 in Maine, where the sales tax rate is 7%.
To calculate the sales tax:
\[
\text{Sales Tax} = \text{Total Selling Price} \cdot \text{Sales Tax Rate}
\]
Plugging in the numbers:
\[
\text{Sales Tax} = \$[/tex]420 \cdot 7\%
\]
Converting the percentage to a decimal:
[tex]\[
\text{Sales Tax} = \$420 \cdot 0.07
\][/tex]
And calculating the result:
[tex]\[
\text{Sales Tax} = \$29.40
\][/tex]
So, the sales tax for the outboard motor in Maine is [tex]$29.40.
2. Savannah Tyson's Vacation Purchase in Nevada:
Savannah purchased a vacation for a total selling price of $[/tex]2,520. The Nevada state tax rate is 6%, and the Reno city tax rate is 1.25%.
First, we need to combine the state tax rate and the city tax rate to get the total tax rate:
[tex]\[
\text{Total Tax Rate} = \text{State Tax Rate} + \text{City Tax Rate}
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Total Tax Rate} = 6\% + 1.25\%
\][/tex]
Converting the percentages to decimals:
[tex]\[
\text{Total Tax Rate} = 0.06 + 0.0125
\][/tex]
Summing the rates:
[tex]\[
\text{Total Tax Rate} = 0.0725
\][/tex]
Now, we calculate the sales tax using this combined tax rate:
[tex]\[
\text{Sales Tax} = \text{Total Selling Price} \cdot \text{Sales Tax Rate}
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Sales Tax} = \$2,520.00 \cdot 0.0725
\][/tex]
And calculating the result:
[tex]\[
\text{Sales Tax} = \$182.70
\][/tex]
So, the sales tax for the vacation in Reno, Nevada, is $182.70.
