Final answer:
Gwen spends $30.41 for the jeans after a 25% markdown, an additional 15% discount, and a 6% sales tax.
Step-by-step explanation:
Calculating the Final Price after Discounts and Sales Tax
To find out how much Gwen spends at Polka Dot Boutique for the jeans, we need to calculate the discounted price and then add sales tax to it. First, the jeans are originally priced at $45.00 and marked down by 25%. To calculate the markdown amount, we multiply $45.00 by 0.25 (25% converted to decimal), which gives us $11.25. This amount is then subtracted from the original price to find the discounted price: $45.00 - $11.25 = $33.75.
Next, Polka Dot Boutique is having an additional sale of 15% off the already discounted price. We calculate this by multiplying $33.75 by 0.15 (15% converted to decimal), equalling $5.06. Subtract this from the discounted price to get the new price: $33.75 - $5.06 = $28.69.
Finally, a 6% sales tax is applied. Convert the 6% sales tax to a decimal by calculating 0.06, and then multiply it by the final price of $28.69 to get the sales tax amount: $28.69 x 0.06 = $1.72. To find the total cost, add the sales tax to the final price of the jeans: $28.69 + $1.72 = $30.41.