Final answer:
To find the total cost of the swimsuit, calculate the discounts sequentially and then add the 3.5% sales tax to the discounted price. After applying the discounts and the sales tax, the total cost of the swimsuit is $86.94.
Step-by-step explanation:
The subject in question here is Mathematics, specifically related to calculating discounts and sales tax. To determine the total cost of a swimsuit that originally costs $140 and is on sale for 20% off, with an additional 25% off the sale price and a 3.5% sales tax, follow these steps:
- Calculate the sale price after the first discount of 20%: $140 - ($140 × 0.20) = $140 - $28 = $112.
- Calculate the final sale price with the additional 25% off: $112 - ($112 × 0.25) = $112 - $28 = $84.
- Finally, calculate the total cost including the sales tax of 3.5%: $84 + ($84 × 0.035) = $84 + $2.94 = $86.94.
Rounded to the nearest cent, the total cost of the swimsuit, including the sales tax, would be $86.94.