Hi.
Let's use the letter"P" for purchase price including tax.
We are told that the seller discounted the price of the skateboard by 15 percent off the original price of $45 and that sales tax is seven percent.
P = [45(1-.15)] x 1.07
P = [(45)(.85)] x 1.07
P = 38.25 x 1.07
P = 40.9275 = $40.93.
The total price of the skateboard, including tax, is $40.93.