Final answer:
The final price of Michael's coat is calculated by first finding the discounted sale price and then adding the sales tax to this reduced amount. The final expression, simplified, is $36.75 + ($36.75 × 0.06), totaling $38.96.
Step-by-step explanation:
To calculate the final price of the coat that Michael is buying, we need to follow a few steps. The coat is originally priced at $49, with a discount of 25% and an added sales tax of 6%.
- Calculate the discount amount: $49 × 0.25 = $12.25.
- Deduct the discount from the original price to get the sale price: $49 - $12.25 = $36.75.
- Calculate the sales tax on the discounted price: $36.75 × 0.06 = $2.205, which rounds to $2.21 to the nearest cent.
- Add the sales tax to the sale price to get the final price: $36.75 + $2.21 = $38.96.
Therefore, the expression to calculate the final price of the coat would be: ($49 - ($49 × 0.25)) + (($49 - ($49 × 0.25)) × 0.06). Simplified, this is $36.75 + ($36.75 × 0.06), which equals $38.96.