To find the final cost of a pair of shoes, we need to follow several steps, incorporating the discount, coupon, and mail-in rebate one by one. Here is the detailed breakdown:
1. Starting with the sticker price:
[tex]\[ \text{Sticker Price} = \$ 60.00 \][/tex]
2. Calculate the discount:
- The discount is given as [tex]\( 25\% \)[/tex].
- Find the discount amount:
[tex]\[ \text{Discount Amount} = 60.00 \times \frac{25}{100} = \$ 15.00 \][/tex]
3. Subtract the discount from the sticker price:
[tex]\[ \text{Price after Discount} = 60.00 - 15.00 = \$ 45.00 \][/tex]
4. Apply the coupon:
- The coupon reduces the price by [tex]\( \$ 9.00 \)[/tex].
[tex]\[ \text{Price after Coupon} = 45.00 - 9.00 = \$ 36.00 \][/tex]
5. Apply the mail-in rebate:
- The mail-in rebate further reduces the price by [tex]\( \$ 3.00 \)[/tex].
[tex]\[ \text{Final Cost} = 36.00 - 3.00 = \$ 33.00 \][/tex]
Thus, the final cost of the pair of shoes, after applying the discount, coupon, and rebate, is:
[tex]\[ \boxed{ \$ 33.00 } \][/tex]
