Let's break down the steps to determine the final cost of the shirt after applying the discount, coupon, and rebate sequentially.
1. Calculate the price after the discount:
- Start with the sticker price: [tex]$50.00.
- Apply the discount of 40%.
- A 40% discount means you pay only 60% of the original price.
- Calculate 60% of $[/tex]50.00.
[tex]\[
\text{Price after discount} = 50.00 \times (1 - 0.40) = 50.00 \times 0.60 = 30.00
\][/tex]
The price after the discount is \[tex]$30.00.
2. Subtract the value of the coupon:
- Next, subtract the coupon value of \$[/tex]7.00 from the discounted price.
[tex]\[
\text{Price after coupon} = 30.00 - 7.00 = 23.00
\][/tex]
The price after applying the coupon is \[tex]$23.00.
3. Subtract the rebate value:
- Finally, subtract the mail-in rebate value of \$[/tex]4.00 from the price after the coupon.
[tex]\[
\text{Final cost} = 23.00 - 4.00 = 19.00
\][/tex]
The final cost, after applying the discount, coupon, and rebate, is \[tex]$19.00.
Thus, the final cost of the shirt is \$[/tex]19.00.
