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Let P(y) represent the final cost of the DVD,
If you have a discount of 12% off, that is \[y \times (1-0.12)\]. Correct?
12% off means that you pay only 88% of the original cost.
Now, let's write the tax added cost. 3% tax means: \[y \times (1 + 0.03)\]
The expression means that you need to pay an additional 3% on top of your original cost.
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Let's combine the expressions together.
okay
\[P(y) = (y \times (1-0.12)) \times (1+0.03) = y \times 0.88 \times 1.03\]
First of all, you cannot subtract 0.03y. You are paying tax, not getting a discount.
*messed
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You can subtract the 0.12y as that is your discount.
Yes, your signs are mixed up.
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