Let's determine the final cost of the dress by applying the discount, coupon, and rebate step by step.
1. Initial Data:
- Sticker Price: \[tex]$30.00
- Discount: 20%
- Coupon: \$[/tex]5.00
- Mail-in Rebate: \[tex]$2.00
2. Calculate the Discount Amount:
The discount is 20% of the sticker price. To find the discount amount:
\[
\text{Discount Amount} = \text{Sticker Price} \times \frac{20}{100} = 30.00 \times 0.20 = \$[/tex]6.00
\]
3. Calculate the Price After Discount:
Subtract the discount amount from the sticker price to get the price after the discount:
[tex]\[
\text{Price After Discount} = \text{Sticker Price} - \text{Discount Amount} = 30.00 - 6.00 = \$24.00
\][/tex]
4. Apply the Coupon:
Next, subtract the coupon value from the price after the discount:
[tex]\[
\text{Price After Coupon} = \text{Price After Discount} - \text{Coupon} = 24.00 - 5.00 = \$19.00
\][/tex]
5. Apply Mail-in Rebate:
Finally, subtract the mail-in rebate from the price after the coupon:
[tex]\[
\text{Final Cost} = \text{Price After Coupon} - \text{Mail-in Rebate} = 19.00 - 2.00 = \$17.00
\][/tex]
Therefore, the final cost of the dress is \$17.00.
