The correct answer is:

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" 77 / x " ; or; "x ÷ 77" .

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In algebra, the former is preferred; that is: " 77 / x " .

7 0

4 years ago

Match the correct rational number to its equivalent repeating decimal: 27.33333

ExtremeBDS [4]

Answer:

A. $\frac{82}{3}$

Step-by-step explanation:

Step 1: We know .3333... is $\frac{1}{3}$ , we rewrite the equation as $\frac{1}{3}$

$27\frac{1}{3}\\ \frac{1+(27)(3)}{3}\\\frac{1+81}{3}\\\frac{82}{3}\\$

Therefore the answer would be A. $\frac{82}{3}$

5 0

3 years ago

Read 2 more answers

19. The cost function of a product is C(Q) = 3Q² +8 and the demand function of the same product is P =1/3 Q² — 10Q + 105, where

Kamila [148]

The marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

<h3>What is a marginal cost?</h3>

It is defined as the cost showing an increase in the cost when the number of units produced increases, In simple words it is the ratio of the cost to quantity.

We have a cost function of a product:

C(Q) = 3Q² +8

a) To find the marginal cost to differentiate it with respect to Q and plug

Q = 4:

C'(Q) = 6Q

C'(4) = 6(4) = 24

b) R(Q) = P×Q

$\rm R(Q) = (\dfrac{1}{3} Q^2 - 10Q + 105)Q$

$\rm R(Q) = \dfrac{1}{3} Q^3 - 10Q^2 + 105Q$

R'(Q) = Q² - 20Q + 105

Plug Q = 4

R'(Q) = (4)² - 20(4) + 105

R'(Q) = 41

c) Marginal profit:

MP(Q) = R(Q) - C(Q)

After calculating:

$\rm MP(Q) = \dfrac{1}{3}Q^3-13Q^2+105Q-8$

MP'(Q) = Q² - 26Q + 105

Plug Q = 4

MP'(Q) = 16 - 104 + 105 = 17

Similar, we can find the maximum profit.

Thus, the marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

Learn more about the marginal cost here:

brainly.com/question/7781429

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3 0

2 years ago