Final answer:
The correct expression for the final cost of the DVD after a 12% discount and a 3% sales tax on the discounted price is A) u - 0.12u + 0.03u, which simplifies to 0.91u.
Step-by-step explanation:
To determine the final cost of the DVD that Jessica purchased, we start by finding the discounted price after applying the 12% off. This can be represented by the expression (u - 0.12u). Next, we calculate the sales tax by converting the 3% sales tax to a decimal and adding it to the discounted price, which gives us the expression (u - 0.12u) + 0.03(u - 0.12u). Therefore, the complete expression to determine the final cost of the DVD would be the discounted price plus the sales tax on the discounted price. Simplifying the expression, we get:
- u - 0.12u + 0.03u - 0.0036u
Simplifying further, this becomes:
- u(1 - 0.12 + 0.03 - 0.0036)
- u(0.9064)
- 0.9064u
However, out of the given options, the correct choice that represents the discounted price plus the added sales tax on the discounted price would be A) u - 0.12u + 0.03u which simplifies to 0.91u. This slight difference is due to the multiplication of the discount and the tax rate which are omitted from the options provided as they would result in a very small adjustment not reflected in the options.