To find the final cost of the desk chair with the given sticker price, discount, coupon, and mail-in rebate, follow these step-by-step calculations:
1. Calculate the Discount Amount:
- The sticker price of the desk chair is \[tex]$100.
- The discount rate is \(25\%\).
- Discount amount = \(25\%\) of \$[/tex]100.
- [tex]\(\text{Discount amount} = 0.25 \times 100 = \$25.00\)[/tex].
2. Calculate the Price After Discount:
- Subtract the discount amount from the sticker price.
- [tex]\(\text{Price after discount} = \$100 - \$25.00 = \$75.00\)[/tex].
3. Apply the Coupon:
- The coupon amount is \[tex]$20.00.
- Subtract the coupon amount from the price after the discount.
- \(\text{Price after coupon} = \$[/tex]75.00 - \[tex]$20.00 = \$[/tex]55.00\).
4. Apply the Mail-in Rebate:
- The mail-in rebate amount is \[tex]$5.00.
- Subtract the mail-in rebate amount from the price after the coupon.
- \(\text{Final price} = \$[/tex]55.00 - \[tex]$5.00 = \$[/tex]50.00\).
Thus, the final cost of the desk chair is [tex]\(\$50.00\)[/tex].