anonymous
  • anonymous
.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Let P(y) represent the final cost of the DVD,
anonymous
  • anonymous
If you have a discount of 12% off, that is \[y \times (1-0.12)\]. Correct?
anonymous
  • anonymous
12% off means that you pay only 88% of the original cost.

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

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