Sure, let's break this down step-by-step to find the final cost of a pair of shoes with a \[tex]$60 sticker price using the given discount, coupon, and mail-in rebate.
1. Initial Sticker Price: The initial sticker price of the shoes is \$[/tex]60.00.
2. Calculate the Discount Amount:
- The discount given is 25%.
- To find the discount amount, we multiply the initial price by the discount percentage converted to decimal form:
[tex]\[
\text{Discount Amount} = \$60.00 \times \left(\frac{25}{100}\right) = \$60.00 \times 0.25 = \$15.00
\][/tex]
3. Price After Discount:
- Subtract the discount amount from the initial sticker price to get the price after the discount is applied:
[tex]\[
\text{Price After Discount} = \$60.00 - \$15.00 = \$45.00
\][/tex]
4. Apply the Coupon:
- The coupon value is \[tex]$9.00.
- Subtract the coupon value from the price after discount:
\[
\text{Price After Coupon} = \$[/tex]45.00 - \[tex]$9.00 = \$[/tex]36.00
\]
5. Apply the Mail-in Rebate:
- The mail-in rebate value is \[tex]$3.00.
- Subtract the rebate value from the price after coupon:
\[
\text{Final Cost} = \$[/tex]36.00 - \[tex]$3.00 = \$[/tex]33.00
\]
So, the final cost of the pair of shoes, after applying the 25% discount, the \[tex]$9.00 coupon, and the \$[/tex]3.00 mail-in rebate, is \[tex]$33.00.
Final Cost = \$[/tex]33.00
