Answer:
a. 24
b. 864
Step-by-step explanation:
a. The demand function is:
P = 60 - 2Q
When P = 12:
12 = 60 - 2Q
2Q = 60 - 12
2Q = 48
Q = 48/2 = 24
b. Consumer surplus is given as the integral of Demand function:
![CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\](https://tex.z-dn.net/?f=CS%20%3D%20%5Cint%5Climits%20%7B%5BP%28Q%29%20-%20%28p%29%28Q%29%5D%20%5C%20dQ%5C%5C)
This implies that:
![CS = \int\limits {60 - 2Q} \, dQ\\\\CS = 60Q - Q^2\\\\CS = (60 * 24) - 24^2\\\\CS = 1440 - 576\\\\CS = 864](https://tex.z-dn.net/?f=CS%20%3D%20%5Cint%5Climits%20%7B60%20-%202Q%7D%20%5C%2C%20dQ%5C%5C%5C%5CCS%20%3D%2060Q%20-%20Q%5E2%5C%5C%5C%5CCS%20%3D%20%2860%20%2A%2024%29%20-%2024%5E2%5C%5C%5C%5CCS%20%3D%201440%20-%20576%5C%5C%5C%5CCS%20%3D%20864)
Answer:
6/100- 60%
Step-by-step explanation:
Answer:
15+5 and 5(3 + 1)
Step-by-step explanation:
I did the test :3
Answer:
translation
Step-by-step explanation:
Based on the information provided the type of transformation would have been a translation of one or both points. This means that either one or both points were moved. If only one point was moved it would have moved 5 units. If both were moved equally then they would have moved 2.5 units apart. Since we are not told the initial and end values of each point we cannot tell if the translation was a vertical or horizontal translation.
<span>The equation you start with is the given equation.
x/6 + 2 = 15 a. Given
The next step in solving this equation is subtracting 2 from both sides.
x/6 = 13 b. Subtraction Property of Equality
Lastly, to cancel out the denominator, multiply both sides of the equation by 6.
x = 78 c. Multiplication Property of Equality
Answer:
</span>a. Given
b. Subtraction Property of Equality
c. Multiplication Property of Equality