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kari74 [83]
3 years ago
7

If y represent the smallest of three consecutive odd integer,expression to represent each of the next two

Mathematics
1 answer:
masya89 [10]3 years ago
6 0

9514 1404 393

Answer:

  y+2, y+4

Step-by-step explanation:

Consecutive odd integers differ by 2.

The next two are ...

  y+2

  y+4

__

<em>Additional comment</em>

You may find it simplifies the math in consecutive integer problems if you let the variable represent the middle one. If y is the middle one, the three odd integers are represented by y-2, y, y+2.

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Lera25 [3.4K]
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6 0
3 years ago
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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.

3 0
3 years ago
What is it called in cubic inch of a cylinder with a height of 4in and a base radius of 5in to the nearest tenths place?
Maru [420]

Answer:

1,256.8in

Step-by-step explanation:

Given data

Height h =4in

Radius r= 5in

The expression for the volume of cylinder is

V=πr²h

Substitute

V=3.142*4²*5

V=3.142 *16*25

V=1,256.8in³

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3 years ago
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7 0
2 years ago
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Which statement is true about the equations –3x + 4y = 12 and x – y = 1?
Firlakuza [10]
-3x + 4y = 12
x - y = 1....x = y + 1

-3(y + 1) + 4y = 12
-3y - 3 + 4y = 12
-3y + 4y = 12 + 3
y = 15

x - y = 1
x - 15 = 1
x = 1 + 15
x = 16

one solution (16,15)

6 0
3 years ago
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