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Lady_Fox [76]
3 years ago
14

A company uses the formula T = 581s+150p to determine the total cost to purchase s computers and p printers. Which formula can b

e used to determine the number of printers purchased, given the total cost, t, and the number of computers purchased?​
Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer: p= T/150 - 3.88s

Step-by-step explanation:

Hi, to answer this question we have to solve the equation for p.

T = 581s+150p

T -581s = 150p

(T -581s)/150 = p

T/150 - 3.88s =p

p= T/150 - 3.88s

For example if the total cost is $600 and the number of computers is 1:

p= 600/150-3.88 (1)

p=4-3.88

p= 0.12 per printer

Feel free to ask for more if needed or if you did not understand something.

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Answer:

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Step-by-step explanation:

From the problem statement we have that the variation in volume with respect to time is equal 10, like this:

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We know that the volume of the cone is given by the equation:

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Now, we are mentioned that the diameter of the base of the cone is approximately three times the altitude, therefore:

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V = (1/3) * Pi * [(3h / 2) ^ 2] * h, solving we have:

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Therefore we derive both sides with respect to time, we have to:

dV / dt = (3/4) * Pi [3 * (h ^ 2) dh / dt] = (9/4) * pi * (h ^ 2) * dh / dt

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Knowing that h is 15 and dV / dt is 10, we replace these values:

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