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2 years ago

AC if TC = 20q + 10q^2?

Mathematics

1 answer:

Alexus [3.1K]2 years ago

4 0

Answer:

AC = (20+ 10q)

Step-by-step explanation:

Given that,

Total cost, TC = 20q + 10q²

We need to find AC i.e. average cost.

It can be solved as follows :

$AC=\dfrac{TC}{q}\\\\AC=\dfrac{20q + 10q^2}{q}\\\\AC=\dfrac{q(20+ 10q)}{q}\\\\AC={(20+ 10q)}$

So, the value of AC is (20+ 10q).

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2 years ago

If p is directly proportional to q, and p=9 when q=7.5, find q when p=24.

pishuonlain [190]

<h3>Solution and Explanation:</h3>

If $p$ and $q$ are directly proportional, then they must have a common scalar.

To find $q$ we must first find its scalar. If we let $a$ be the scalar we can form the equation, $ap = q$ .

We are given the information that if $q = 7.5$ then $p = 9$ . We can use that in finding the scalar.

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2 years ago

The cross-sectional areas of a right pyramid and a right cylinder are congruent. The right pyramid has a height of 10 units, and

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Answer:

The volume of the cylinder is 2.1 times the volume of the pyramid

Step-by-step explanation:

step 1

Find the volume of the pyramid

we know that

The volume of a right pyramid is equal to

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where

B is the area of the base of pyramid

H is the height of the pyramid

we have

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substitute

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step 2

Find the volume of the right cylinder

we know that

The volume of right cylinder is equal to

$V=BH$

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H is the height of the cylinder

we have

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substitute

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step 3

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substitute

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