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notsponge [240]
2 years ago
9

If 100 units of a product cost $5,000 and 200 units cost $8,000, what is the incremental cost per unit of the second 100 units?

Mathematics
1 answer:
Art [367]2 years ago
4 0
I don’t know why the word “million” is there, but the incremental cost per unit of the secon hundred units is $30 per unit.
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M is inversely proportional to r if m= 9 when r= 4 find m when r=2
bazaltina [42]

m=18 when r = 2.

Step-by-step explanation:

Given,

m∝\frac{1}{r}

So,

m = k×\frac{1}{r},--------eq 1, here k is the constant.

To find the value of m when r = 2

At first we need to find the value of k

Solution

Now,

Putting the values of m=9 and r = 4 in eq 1 we get,

9 = \frac{k}{4}

or, k = 36

So, eq 1 can be written as m= \frac{36}{r}

Now, we put r =2

m = \frac{36}{2}

or, m= 18

Hence,

m=18 when r = 2.

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2 years ago
Are two lines with the same slope and different y-intercepts always, sometimes, or never perpendicular?
ryzh [129]
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2 years ago
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A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine
ASHA 777 [7]

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ =  11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

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Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm

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3 years ago
A line has a slope of − 1 and a y-intercept of 7. What is the equation of the line in standard form?
allochka39001 [22]

Answer:

y= -1x+ 7

Step-by-step explanation:

x in a equation is slope and the other number is y- intercept

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2 years ago
A water bottle holds 5/8 liter of water when it is 3/4 full. which statement best describes the quotient of 5/8 ÷ 3/4​
Aloiza [94]

Answer:

The amount of water in liters in 1/4 of the container.

Step-by-step explanation:

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