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kari74 [83]
3 years ago
9

What is the rate of change of the line on the graph

Mathematics
1 answer:
Delvig [45]3 years ago
6 0

Answer:

A. ¼

Step-by-step explanation:

Rate of change (m) = \frac{y_2 - y_1}{x_2 - x_1}

Using two points on the line, (4, 1) and (-4, -1), find the rate of change using the formula stated above:

Where,

(4, 1) = (x_1, y_1)

(-4, -1) = (x_2, y_2)

Plug in the values

Rate of change (m) = \frac{-1 - 1}{-4 - 4}

= \frac{-2}{-8}

= \frac{1}{4}

Rate of change = ¼

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A company that manufactures small canoes has a fixed cost of $24,000. It costs $100 to prod canoes produced and sold.) a. Write
sweet-ann [11.9K]

Answer:

a. C(x) = 24,000 + 100x

b. R(x) = 200x

c. Break-even point is 240 canoes

Step-by-step explanation:

a. Cost function is C(x) = FC + pcost * x

C(x) = 24,000 + 100x

Where  

FC=Fixed cost  = 24,000

pcost=costs  to prod canoes = $100

x=produce quantity

b.Revenue function

R(x) = Px * x

R(x) = 200x

Where  

Px=Price

x=produce quantity

c. Break-even point is the amount of canoes where revenue are the same as cost.  We cover the total cost with the sales.

So,  FC + pcost * x=Px * x

24,000 + 100x=200x

Isolating x

24,000 =200x- 100x

100x=24000

x=24,000/100

x=240

3 0
3 years ago
Which of the following conditions must be met in order to make a statistical inference about a population based on a sample
klasskru [66]

Answer:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

7 0
3 years ago
Find last year’s salary if, after a 3% pay raise, this year’s salary is $30,900
Liono4ka [1.6K]
Your answer is $30,000.
The way I have answered this is quite strange, but I'll do my best to explain it. So because we know that $30,900 is 3% than last year, we can call it 103%. This allows us to form a ratio and therefore find 100%.
30,900 : 103
÷ 103
300 : 1
× 100
30,000 : 100
Which means $30,000 is 100%, or 3% less than $30,900. I hope this helps! Let me know if it was confusing or anything :)
5 0
3 years ago
Read 2 more answers
Helpp
Svetach [21]

Answer:

<h3>21mi/gn</h3>

Step-by-step explanation:

<h3>7mi/1/3gncalculate the product</h3>

7mi/gn/3simplify the complex fraction

<h3><em>So </em><em>the </em><em>answer </em><em>is=</em><em>2</em><em>1</em><em>m</em><em>i</em><em>/</em><em>gn</em></h3>

<h3><em>Hope </em><em>it </em><em>helps</em></h3>
6 0
2 years ago
Mrs. McDonald's students have been working very hard during class, completing all class work and homework, and even attending tu
Natali5045456 [20]

Answer:

(13+83+85+87+90+91+93+97+98+99+100+100):12= 85,33

3 0
2 years ago
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