Question

A local store is having a sale. all waterproof shoes are 25% off. if a pair of rain boots normally costs $13.41 plus 4% sales tax, how much will it cost to buy the rain boots during the sale? round your answer to the nearest cent, if necessary. (hint: discounts are applied before sales tax is added.)

Answer 1

The total cost of the rain boots during the sale, after applying a 25% discount and adding a 4% sales tax, is $10.46.

Step-by-step explanation:

To calculate the cost of the rain boots during the sale, we first need to apply the 25% discount on the original price and then add the 4% sales tax. The original price of the rain boots is $13.41.

Here is the step-by-step calculation:

1. Calculate the discount amount by multiplying the original price by the discount percentage: $13.41 × 0.25 = $3.3525.
2. Subtract the discount amount from the original price to get the sale price: $13.41 - $3.3525 = $10.0575.
3. Rounding the sale price to the nearest cent gives us $10.06.
4. Now, calculate the amount of sales tax by converting the percentage to a decimal and multiplying it by the sale price: $10.06 × 0.04 = $0.4024.
5. Round the sales tax to the nearest cent, which gives us $0.40.
6. Add the sales tax to the sale price to get the total cost: $10.06 + $0.40 = $10.46.

Therefore, the total cost of the rain boots during the sale, including sales tax, is $10.46.