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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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There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp
Mariana [72]

Answer:

  1. <em> 15</em>
  2. <em> 42,250</em>

Step-by-step explanation:

The given function is,

P=40000+300x-10x^2

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at \left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)

The value of the function will be maximum at,

x=-\dfrac{b}{2a}

Putting the values,

x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

P=40000+300(15)-10(15)^2=42,250

4 0
3 years ago
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Ann [662]

Answer:

8.4249 ur answer....

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6 0
3 years ago
Please help i don't even where to start<br><br>solve for x​
aliina [53]

The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.

Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length <em>x</em>.

Now, by the intersecting chord theorem,

16×4 = <em>x</em> × <em>x</em>

or

<em>x</em> ² = 64

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<em>x</em> = 8

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3 years ago
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Vesnalui [34]

Answer:

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(a)^2+(b)^2=(c)^2

(1.41)^2+(b)^2=(2.24)^2

2+(b)^2=5

(b)^2=5-2

(b)^2=3

b=/3 or 1.73

Step-by-step explanation:

for a triangle, a missing value of the side can be found using pythagorean theorem which is (a)^2+(b)^2=(c)^2

replace it with the given value.

*note:(c)^2 should be the hypotenuse

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3 years ago
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6 0
2 years ago
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