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creativ13 [48]
3 years ago
14

kest kuy is offering a sale on its laptop computers with a 20 percent discount off its original price. there is 8% sales tax add

ed to the discounted price to get the final price of the computer. if x is the original price and y is the final price, write an equation to determine the final price based upon the original price.
Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0

Answer:

y = 0.88x

Step-by-step explanation:

Given

Discount = 20\%

Sales\ Tax = 8\%

Required

Determine the final price

First, we need to determine the sales price after the discount.

Discount = 20\% * x

Discount = 0.20 * x

Discount = 0.20x

Sales\ Price = x - Discount

Sales\ Price = x - 0.20x

Sales\ Price = 0.80x

Next, is to determine the sales tax.

Sales\ Tax = 8\% * x

Sales\ Tax = 0.08 * x

Sales\ Tax = 0.08x

Final Price, y is then calculated as thus:

y = Sales\ Price + Sales\ Tax

y = 0.80x + 0.08x

y = 0.88x

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Answer:

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A citrus grower harvested 2,419 grapefruit and 4,395 oranges last season. He packed the grapefruit in boxes of 18 and the orange
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Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minute
stira [4]

You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.

Here is the complete question:

<em>Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92. </em>

<em>How many minutes would it take the printer to use all 92 sheets of paper?</em>

<em />

Answer:

It would take 11.5 minutes for the printer to use all 92 sheets of paper

Step-by-step explanation:

Given:

  • Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92

To determine:

How many minutes would it take the printer to use all 92 sheets of paper?

Given the function

p(t) = -8t + 92

We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.

Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes

0 = -8t + 92

8t = 92

Divide both sides by 8

\frac{8t}{8}=\frac{92}{8}

t=\frac{23}{2}

t = 11.5 minutes

  • Therefore, it would take 11.5 minutes for the printer to use all 92 sheets of paper
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3 years ago
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