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never [62]
3 years ago
13

Given sin (-∅) = -1/4 and tan∅ = √15/15. What is the value of cos∅?

Mathematics
1 answer:
Ket [755]3 years ago
4 0
Cos (theta) would be equal to 15/-1!

The reason is because the inverse of sin is equal to the hypotenuse over the opposite angle, meaning the hypotenuse would be -1. Tan is equal to the opposite over the adjacent angle, meaning the adjacent angle equals 15. Cos is equal to the adjacent over the hypotenuse, making cos (theta)= 15/-1!
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In a purely monopolistic market with a demand curve P = -Q / 10 + 2000, to maximize profit the firm provides the application at
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Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question

answer:

≈ 95 units ( output level )

Step-by-step explanation:

Given data :

P = 2000 - Q/10

TC = 2Q^2 + 10Q + 200 ( assumed value )

<u>The output level where a purely monopolistic market will maximize profit</u>

<u>at MR = MC </u>

P = 2000 - Q/10 ------ ( 1 )

PQ = 2000Q - Q^2 / 10 ( aka TR )

MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5

TC = 2Q^2 + 10Q + 200 ---- ( 2 )

MC = d (TC) / dQ = 4Q + 10

equating MR = MC

2000 - Q/5 = 4Q + 10

2000 - 10 = 4Q + Q/5

1990 = 20Q + Q

∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )

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Step-by-step explanation:

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