Here is the detailed, step-by-step solution to determine the final cost of the pair of pants with a [tex]$40 sticker price, applying a 30% discount, a $[/tex]5.00 coupon, and a [tex]$4.00 mail-in rebate.
1. Calculate the price after the discount:
- Initial sticker price is $[/tex]40.00.
- The discount percentage is 30%.
- Calculate the discount amount by converting the percentage to a decimal (30% = 0.30) and multiplying by the initial sticker price:
[tex]\[
\text{Discount amount} = 0.30 \times 40.00 = 12.00
\][/tex]
- Subtract the discount amount from the initial sticker price to get the price after the discount:
[tex]\[
\text{Price after discount} = 40.00 - 12.00 = 28.00
\][/tex]
2. Calculate the price after applying the coupon:
- The coupon reduces the price by [tex]$5.00.
- Subtract the coupon value from the price after the discount:
\[
\text{Price after coupon} = 28.00 - 5.00 = 23.00
\]
3. Calculate the final cost after the mail-in rebate:
- The mail-in rebate reduces the price by $[/tex]4.00.
- Subtract the rebate value from the price after applying the coupon:
[tex]\[
\text{Final cost} = 23.00 - 4.00 = 19.00
\][/tex]
Therefore, the final cost of the pair of pants is [tex]\(\$19.00\)[/tex].
