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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: It is not possible that two triangles that are similar and not congruent in spherical geometry.

Step-by-step explanation:

For instance, taking a circle on the sphere whose diameter is equal to the diameter of the sphere and inside is an equilateral triangle, because the sphere is perfect, if we draw a circle (longitudinal or latitudinal lines) to form a circle encompassing an equally shaped triangle at different points of the sphere will definately yield equal size.

in other words, triangles formed in a sphere must be congruent and also similar meaning having the same shape and must definately have the same size.

Therefore, it is not possible for two triangles in a sphere that are similar but not congruent.

Two triangles in sphere that are similar must be congruent.

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3 years ago
the pressure exerted on the floor by the heel of someone's shoe is inversely proportional to the square of the width of the heel
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P = k/w^2 

<span>first of all you need to find k </span>
<span>But I kind of don't like the units of each value so let say </span>
<span>400KPa = 4 * 10^5 Pa = 4 * 10^5 N/m^2 </span>
<span>2 cm = 2 * 10^-2 m </span>

<span>input values in the equation </span>

<span>4*10^5 = k/(4*10^-4) >>> k = 160 N </span>

<span>P = 160/w^2 </span>
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4 0
3 years ago
Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it
Zanzabum

Answer:

\beta=45\degree\:\:or\:\:\beta=135\degree

Step-by-step explanation:

We want to solve \tan \beta \sec \beta=\sqrt{2}, where 0\le \beta \le360\degree.

We rewrite in terms of sine and cosine.

\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}

\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}

Use the Pythagorean identity: \cos^2\beta=1-\sin^2\beta.

\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}

\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)

\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta

\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0

This is a quadratic equation in \sin \beta.

By the quadratic formula, we have:

\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }

\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }

\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }

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\sin \beta=\frac{2}{2\cdot \sqrt{2} } or \sin \beta=\frac{-4}{2\cdot \sqrt{2} }

\sin \beta=\frac{1}{\sqrt{2} } or \sin \beta=-\frac{2}{\sqrt{2} }

\sin \beta=\frac{\sqrt{2}}{2} or \sin \beta=-\sqrt{2}

When \sin \beta=\frac{\sqrt{2}}{2} , \beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )

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Find the percent of decrease if 110 is decreased to 88 A) 125% B)80% C)20%
stich3 [128]

Hey there! I'm happy to help!

We have 110 minus a certain percent of 110 equals 88. Let's call this percent p and solve.

110-110p=88

We subtract 110 from both sides.

-110p=-22

We divide both sides by 110.

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Therefore, the percent decrease is C) 20%.

Have a wonderful day! :D

4 0
3 years ago
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