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DaniilM [7]
3 years ago
9

I have two story problems.

Mathematics
1 answer:
vekshin13 years ago
7 0
Let lucy = l & neighbour= n
l = n +4
l + n= 14 years
substitute l with n +4
(n +4) + n = 14
2n +4 =14
n=5 years
l = n + 4 lets substitute n with 5
l = 5 + 4
lucy = 9 years

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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
4 years ago
Solve the<br>Questions<br>following<br>81, 8-91, 4pda - Зроби<br>1.<br>Xut 43<br>,​
posledela

Answer:

Solve the

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81, 8-91, 4pda - Зроби

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Xut 43

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Step-by-step explanation:

Solve the

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4 0
3 years ago
Using pi 3 what is the answer
konstantin123 [22]

Answer:

12mm

Step-by-step explanation:

circumference (distance around) is equal to πd.

here, if π is 3, we do 3 x the diameter, which is 4. 3 x 4 = 12mm

6 0
3 years ago
X/5 + 6=10
Komok [63]

Step-by-step explanation:

first you do x/5=10-6 the second step you do is x/5=4 the third step is x=4x5 finally the answer is x=20

8 0
3 years ago
Solve for x in the equation X2 - 12x+36-90<br> X = 6+3/10<br> X=6+2V7<br> X= 12+3 22<br> x= 12+3/10
8_murik_8 [283]

Answer:

x = 6 + 3√10

Step-by-step explanation:

Since this is an unfactorable expression, we need to apply the Quadratic Formula, <em>-</em><em>b</em><em> </em><em>±</em><em> </em><em>√</em><em>b</em><em>²</em><em> </em><em>-</em><em> </em><em>4ac</em><em>\</em><em>2a</em><em> </em>[radical wrapped around <em>b</em><em>²</em><em> </em><em>-</em><em> </em><em>4ac</em>]. Evaluate, then you will end up with the answer above.

I am joyous to assist you anytime.

3 0
4 years ago
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