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Kipish [7]
3 years ago
10

Simplify the expression (t^-2)^6

Mathematics
1 answer:
Rainbow [258]3 years ago
5 0

Answer:

t^-12

Step-by-step explanation:

you multiply the -2 and 6.

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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

#SPJ1

3 0
2 years ago
Glen hiked 14 miles in 4 hours. What was his average rate of speed?
Daniel [21]
3.5 miles per hour :) hopefully this helps!
8 0
3 years ago
Pls help me I’ll give brainliest pls dont answer if you don’t know
Delvig [45]

Answer:

Species

C

C

B

B

A

Step-by-step explanation:

i read the passage hence is how i got my answers

3 0
3 years ago
Read 2 more answers
Answers? Or a hint please I’m begging
olga2289 [7]
Hmm I would say x=q
Hope this helps u <3
6 0
3 years ago
Please help and EXPLAIN
creativ13 [48]
Okay, all of these pairs add up to 1 or 100%, except for one pair. I'll convert them all to decimals, so all must add up to 1.

3/8 = 0.375
0.625 + 0.375 = 1

62% = 0.62
0.38 + 0.62 = 1

7/8 = 0.875
0.875 + 0.125 = 1

70% = 0.70
1/3 <span>≈</span> 0.33
0.70 + 0.33 = 1.03

So the last pair of probabilities(70%, 1/3) does not belong with the other three because it does not add up to 1 like the others.
8 0
3 years ago
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