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katrin2010 [14]
3 years ago
14

Suppose the quantity demanded, q, of a product when the price is p dollars is given by the equation p = 462 − 5 q , and the quan

tity supplied is given by the equation p = 2 q . Find the equilibrium price and quantity.
Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Answer:

q = 66

P = 132

Step-by-step explanation:

To get the equilibrium price, we need to find the price at which the quantity demanded equals the quantity supplied.

Now we equate the equations of the demanded quantity and the supplied quantity:

462 - 5q = 2q

7q = 462

q = 462/7 = 66

The price at this level is obtained by substituting the value of q into any of the equation

Using P = 2q

P = 2 * 66 = 132

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irina [24]

Answer:

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11x = 180 - 5 - 4

11x = 171           and since theres mutliplication 11 times x which is 11x, were going to divide

x = 171/11  and the out come is with decimals  (15.54545...etc)

x=11 is incorrect

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3 years ago
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How many different ways can 6 identical books, 3 identical paperback books, and 3 identical boxed books be arranged on a shelf i
Marianna [84]
18480 ways
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7 0
3 years ago
Select correct answer
Sergio [31]

Answer:

The values of p in the equation are 0 and 6

Step-by-step explanation:

First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p

2

−7p−4=(2p+1)(p−4)

So then the equation looks like:

\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}

2p+1

p

−

(2p+1)(p−4)

2p

2

+5

=−

p−4

5

To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:

\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}

(2p+1)(p−4)

p

2

−4p

−

(2p+1)(p−4)

2p

2

+5

=−

(p−4)(2p+1)

10p+5

Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.

(p^2-4p)-(2p^2+5)=-(10p+5)(p

2

−4p)−(2p

2

+5)=−(10p+5)

Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p

2

−4p)−(2p

2

+5) first:

(p^2-4p)-(2p^2+5)=-p^2-4p-5(p

2

−4p)−(2p

2

+5)=−p

2

−4p−5

-p^2-4p-5=-10p+5−p

2

−4p−5=−10p+5

Combine like terms:

-p^2-4p+0=-10p−p

2

−4p+0=−10p

-p^2+6p=0−p

2

+6p=0

Factor:

p=0, p=6p

7 0
3 years ago
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What is the volume of a right circular cylinder with a diameter of 46.25 cm and a height of 18.5 cm?
alexdok [17]
Radius = <span> <span> <span> 23.125 </span> </span> </span> cm
Cylinder Volume =  <span>π <span>• r² • height
</span></span>
Cylinder Volume =  3.14 * 23.125^2 * 18.5

Cylinder Volume =  <span> <span> <span> 31,064.53515625 </span> </span> </span>

Cylinder Volume =  <span> <span> <span> 31,064.54 cubic centimeters


</span></span></span>
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4 years ago
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Serhud [2]

Answer:

Proportion states that the two fractions or ratios are equal

Given the equation:  \frac{1.5}{4x+1} = \frac{0.4}{x+4}

By cross multiply we get;

1.5(x+4) = 0.4(4x+1)

Using distributive property; a\cdot (b+c) = a\cdot b+ a\cdot c

1.5x + 6= 1.6x + 0.4

Subtract 0.4 from both sides we get;

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Subtract 1.5x from both sides we get;

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Divide both sides by 0.1 we get;

x = \frac{5.6}{0.1}

Simplify:

x = 56

Therefore, the value of x that satisfy the equation \frac{1.5}{4x+1} = \frac{0.4}{x+4} is, 56

5 0
3 years ago
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