What is the final cost of a desk chair with a [tex]$\$[/tex]100[tex]$ sticker price if the discount, coupon, and rebate shown in the table below are used?

\begin{tabular}{|l|r|}
\hline Sticker Price & $[/tex]\[tex]$100.00$[/tex] \\
\hline Discount & [tex]$25 \%$[/tex] \\
\hline Coupon & [tex]$\$[/tex]20.00[tex]$ \\
\hline Mail-in Rebate & $[/tex]\[tex]$5.00$[/tex] \\
\hline
\end{tabular}

Final Cost [tex]$=\$[/tex][?]$



Answer :

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].