Answer:
Demand quantity: 6.3246
Supply quantity: 4.4721
Step-by-step explanation:
Supply equation:
p = (1/2) * q^2
Demand equation:
p = -(1/2) * q^2 + 30
(p is the price, q is the quantity)
If the price p is equal to 10, then we can calculate:
Supply quantity:
10 = 0.5 * q^2
q^2 = 20
q = 4.4721
Demand quantity:
10 = -0.5 * q^2 + 30
0.5 * q^2 = 20
q^2 = 40
q = 6.3246
Your answer would be $295 :)
1- Learn the Pythagorean theorem. The Pythagorean theorem describes the relationship between the sides of a right triangle. He states that for any triangle rectangle with sides of length a and b, and hypotenuse of length c, a2 + b2 = c2.
2- First: make sure it's even a rectangle triangle. The Pythagorean theorem only has an effect on triangle rectangles, and by definition, only rectangular triangles have a hypotenuse. If your triangle has an angle with exactly 90 degrees, it is a right triangle, and you can continue.
Straight angles are often noticed in textbooks and academic proofs with a small square at the corner of the angle. This special mark represents the indication "90 degrees".
3- Set the variables a, b, and c to the sides of the triangle. The variable "c" will always represent the hypotenuse, or the side of greater extension. Choose one of the other sides to be a and give the other the denomination b (the order is irrelevant because the result will be the same). Next, enter the lengths of a and b in the formula, according to the following example:
If your triangle has sides of lengths 3 and 4, and you have defined letters to these sides, such as a = 3 and b = 4, you can write the equation as follows: 32 + 42 = c2
The answer is 1. Needs to be 20 chars.
Option A
The solution is 
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
3x + 6y = 1 ------ eqn 1
x - 4y = 1 ------ eqn 2
We have to find solution to system of equations
We can use substitution method
From eqn 2,
x = 1 + 4y -------- eqn 3
Substitute eqn 3 in eqn 1
3(1 + 4y) + 6y = 1
3 + 12y + 6y = 1
18y = 1 - 3
18y = -2
Divide both sides by 18
Substitute the above value of y in eqn 3
Thus solution is
