Answer :
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
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