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alex41 [277]
3 years ago
6

What is percent of change $50 to $65

Mathematics
1 answer:
zzz [600]3 years ago
4 0
You would do percent of change.
meaning you would subract 65 and 50 to get 15. then you would put 15 over 50 (as a fraction) then equals r/100. then you would cross multiply to get r.

orginal:50
new:65
65-50=15

15/50=r/100
15r=5000
then divide by 15 to get r
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Write the equation of the line that contains the points (5,7) and (5, -12):
Ainat [17]

Step-by-step explanation:

Well you first have to find the slope, which is y2-y1/x2-x1

Which is -12-7/5-5 and that equals to undefined.

So since you can't find the slope the answer should be undefined.

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8 0
3 years ago
Two angles are supplementary angles if the sum of their measures is​ 180°. find two supplementary angles such that the measure o
suter [353]
Let the second angle be x.

Second angle = x
First angle = 3x - 6

The sum of the two angles is 180°
x + 3x - 6 = 180
4x - 6 = 180
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Answer: The angles are 46.5° and 133.5°
7 0
3 years ago
Use the given data to find a regression line that best fits the price-demand data for price p in dollars as a function of the de
Rufina [12.5K]

Answer:

m=-\frac{7600}{8250}=-0.921

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{550}{10}=55

\bar y= \frac{\sum y_i}{n}=\frac{1042}{10}=104.2

And we can find the intercept using this:

b=\bar y -m \bar x=104.2-(-0.921*55)=104.707

So the line would be given by:

y=-0.921 x +104.707

Step-by-step explanation:

For this case we have the following data given:

Demand (x): 10,20,30,40,50,60,70,80,90,100

Price (y): 141 , 133,126, 128,113,97, 90, 82,79,53

We want to construct a linear model like this:

y = mx +b

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =550

\sum_{i=1}^n y_i =1042

\sum_{i=1}^n x^2_i =38500

\sum_{i=1}^n y^2_i =115882

\sum_{i=1}^n x_i y_i =49710

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=38500-\frac{550^2}{10}=8250

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=49710-\frac{550*1042}{10}=-7600

And the slope would be:

m=-\frac{7600}{8250}=-0.921

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{550}{10}=55

\bar y= \frac{\sum y_i}{n}=\frac{1042}{10}=104.2

And we can find the intercept using this:

b=\bar y -m \bar x=104.2-(-0.921*55)=104.707

So the line would be given by:

p(x)=-0.921 x +104.707

4 0
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Which expression is equivalent to
taurus [48]

Answer:

d

Step-by-step explanation:

7 0
3 years ago
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damaskus [11]

Answer:

2. D. division property of equality

3. B. transitive

Step-by-step explanation:

2. well, we divide both sides by the same factor 3.

3. the same reason as for 4. we are using that if A = B, and B = 30, then A =30 in both lines.

5 0
3 years ago
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