Jane is buying a jacket that regularly costs $54. However, the jacket is on sale for 25% off the regular price. A sales tax of 6% will be added to the final purchase price. How much will Jane pay for the jacket, including tax Explain your answer. Be thorough.
current cost: $54
after 25% discount, price = .75(54)
after 6% sales tax is added,
final cost = $54(.75)(1.06) = $42.93
To start, we know that the regular price of the jacket is $54. To find the price after the 25% discount, we can multiply the regular price by 0.75 (since 25% off is equivalent to paying only 75% of the original price):
Regular price = $54
Discounted price = $54 x 0.75 = $40.50
Now we need to add the 6% sales tax to the discounted price. To do this, we can multiply the discounted price by 1.06:
Discounted price = $40.50
Price with sales tax = $40.50 x 1.06 = $42.93
Therefore, Jane will pay $42.93 for the jacket, including tax.