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statuscvo [17]
3 years ago
13

The circumference of a circle is 18.84 meters. what is the circles area

Mathematics
1 answer:
Fed [463]3 years ago
5 0
The area is about 28.25m²
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If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price
Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

P = 170 - Q

The Marginal cost is given by

MC = 52

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2

The Marginal revenue is the derivative of the Total revenue,

MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\

Assuming that the monopolist maximizes profits,

MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59

Therefore, the quantity is 59 units.

The price of each good is

P = 170 - Q \\\\P = 170 - 59 \\\\P = 111

Therefore, the price is $111.

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3 years ago
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3 years ago
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Convert 12 pints to quarts.
Contact [7]

The answer is 6 quarts.

7 0
3 years ago
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The transformation of the function f(x) = 2x when it becomes f(x) = 2x-4 is a horizontal shift of 4 units to the left.
Natasha_Volkova [10]
No it is actually a horizontal shift of 2 units to the right. 
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Please answer this question only if you know the answer! 30 points and brainliest!
Allisa [31]

Answer:

(4, 3)

Step-by-step explanation:

If this point is reflected about the x-axis, the x-coordinate does not change.  The original y-coordiate, -3, becomes +3.

A': (4, 3)

5 0
2 years ago
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