help_people
  • help_people
Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied? c(p) + p(g) = 1.92g c[p(g)] = 0.896g g[c(p)] = 1.92p c(p) ⋅ p(g) = 0.896pg
Mathematics
katieb
  • katieb
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help_people
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mathstudent55
  • mathstudent55
p(g) gives you the discounted price. You need to apply function p first. Then c(p) gives you the final price after the tax is added to the discounted price. You apply function c after function p.
triciaal
  • triciaal
start with the original price and take the 20% off . this is now the "x" to use to figure the taxes

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mathstudent55
  • mathstudent55
That means you need: c(p(g))
mathstudent55
  • mathstudent55
First, let's write c(p) |dw:1437507064770:dw|
help_people
  • help_people
ok
mathstudent55
  • mathstudent55
Now to find c(p(g)), you replace p(g) by what the function p(g) is equal to. |dw:1437507122077:dw|
mathstudent55
  • mathstudent55
Now just multiply out 1.12 * 0.8 to simplify c(p(g))
help_people
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mathstudent55
  • mathstudent55
|dw:1437507412489:dw|
mathstudent55
  • mathstudent55
Correct.
help_people
  • help_people
thank you do you mind helping me w. one more
mathstudent55
  • mathstudent55
That means if you take each original price and just multiply it by 0.896, you are discounting the price by 20% and adding a 12% tax. With one simple multiplication, you are discounting and adding tax. For example if a system had an original price of $100, the final price after the discount and tax is 0.896 * $100 = $89.60
help_people
  • help_people
OK :)
mathstudent55
  • mathstudent55
yes, but pls start a new post
mathstudent55
  • mathstudent55
You're welcome.
help_people
  • help_people
OK (again)
help_people
  • help_people
thank you :) if i did not say it srry

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