Final answer:
First, calculate the discount amount, subtract it from the original price to find the sale price, then calculate and add the sales tax to find the total cost. For a $45 sweater with a 25% discount and 7% tax, the total cost is $36.11.
Step-by-step explanation:
The question asks about the total cost of a sweater after a discount and sales tax have been applied. To solve this, we must first calculate the discount amount, then subtract it from the original price to find the sale price. Afterward, we calculate the sales tax on the discounted price and add it to find the total cost.
The sweater costs $45 and is on sale for 25% off:
The discount amount = 25% of $45 = 0.25 × $45 = $11.25.
The sale price of the sweater = original price - discount = $45 - $11.25 = $33.75.
Next, we calculate the sales tax, which is 7% of the sale price:
The sales tax = 7% of $33.75 = 0.07 × $33.75 = $2.36 (rounded to the nearest cent).
Finally, we add the sales tax to the sale price to get the total cost:
The total cost = sale price + sales tax = $33.75 + $2.36 = $36.11.
This is how you find the total cost of an item after discounts and taxes.