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kondor19780726 [428]
3 years ago
8

If you pay for $25.00 for purchase which includes 11% sales tax. how much is the sales tax?

Mathematics
2 answers:
Delvig [45]3 years ago
5 0
Since it includes 11% sales tax, this means that (purchase)+11% of (purchase)=25.00. Since 11% = 0.11 by multiplying it by 1/100, we have 1*purchase+0.11*purchase=1.11*purchase=25.00. Dividing both sides by 1.11, we get around 22.73 as the original purchase. This means that the difference between the purchase price and the total price is the sales tax, which is around 2.27 dollars.

Feel free to ask further questions!
zmey [24]3 years ago
4 0

Answer:

The sales tax is $2.48

Step-by-step explanation:

We have a final price of $25.00 wich includes an <u>11% sales tax</u>. In order to know the amount of the tax, we can calculate that <em>a given value x, should have a final price of $25.00</em> wich includes the tax in that amount, not in x, meaning

x=\frac{25}{1+0.11} \Leftrightarrow x=22.52

So, <u>this is the value of the purchase without tax</u>, and the tax is the <em>difference between the final amount, and this value</em>

tax=25-22.52=2.48

Finally, the sales tax is $2.48.

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3 years ago
When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely a
djverab [1.8K]

The intercept with the y-axes occurs when x = 0

f(0) = 2*02 + 35*0 + 75 = 0 + 0 + 75 = 75

So intercept with x axes is the point (0,75)

The intercept with the x-axes occurs when y=0

2x2 + 35x + 75 = 0

<span>As there’s no direct way to find x, we can use the <span>Bhaskara formula:</span></span>

x=(-b+- square root (b2-4ac))/(2a)

This formula is for: ax2 +bx + c = 0

So:

a=2

b=35

c=75

x=(-35+- square root (35^2-4*2*75))/(2*2)

So x can be -2.5 or -15

So intercept with y axes are the points (-2.5,0) and (-15,0)

And there is also a formula to find the mínimum. The mínimum is always the vertex:

Xv = -b/(2*a) = -35/(2*2) = -8.75

Yv = f(Xv) = f(-8.75) = 2(-8.75)^2 + 35(-8.75) <span> + 75 = </span>-78.125

So the minimum is the point (-8.75, -78.125)

You can easily verify all these data with a graphic software such as GeoGebra.

Here is the complete list of all the points we need to see:

(0,75); (-2.5,0) ; (-15,0), (-8.75, -78.125)

So the mínimum X has to be -15 and the máximum X has to be 0

and the mínimum Y has to be -78.125 and the máximum Y has to be 75

So this leads to a different scale for X and for Y.


Window x = [ -15, 0] y = [ -78.125, 75]
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3 years ago
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Anestetic [448]

Answer:

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Answer:

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Step-by-step explanation:

So you have 2x+11+1+4x=90 degrees

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