Certainly! Let's follow the steps to determine the total cost for the nails after applying both the discount and the sales tax.
1. Original Price:
The original price of the box of nails is \[tex]$12.95.
2. Applying the Discount:
You have a coupon that gives you a 20% discount. First, we need to calculate the amount of discount:
\[
\text{Discount amount} = \text{Original Price} \times \text{Discount Percent}
\]
\[
\text{Discount amount} = 12.95 \times 0.20 = 2.59
\]
Subtract the discount amount from the original price to get the discounted subtotal:
\[
\text{Discounted Subtotal} = \text{Original Price} - \text{Discount amount}
\]
\[
\text{Discounted Subtotal} = 12.95 - 2.59 = 10.36
\]
3. Calculating the Sales Tax:
The sales tax is 6%. We need to calculate the sales tax on the discounted subtotal:
\[
\text{Sales Tax Amount} = \text{Discounted Subtotal} \times \text{Sales Tax Percent}
\]
\[
\text{Sales Tax Amount} = 10.36 \times 0.06 = 0.6216
\]
4. Total Cost:
Add the sales tax amount to the discounted subtotal to get the total cost:
\[
\text{Total Cost} = \text{Discounted Subtotal} + \text{Sales Tax Amount}
\]
\[
\text{Total Cost} = 10.36 + 0.6216 = 10.9816
\]
When rounded to two decimal places (since we're dealing with currency), the total cost is approximately \$[/tex]10.98.
Thus, the correct answer is:
A. \$10.98
