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:
Answer:
d^2 = 30^2 + 12^2
e^2 = d^2 + 8^2
e^2 = 30^2 + 12^2 + 8^2
e = √(30^2 + 12^2 + 8^2) = 33.3 ft
Answer
-14
Step-by-step explanation:
Answer:
Divide both sides by-2
Use the distributive property
Step-by-step explanation:
If you divided both sides by -2, you would get n + 3 = -6.5. Then you would have to subtract 3 from both sides, so n would be -9.5.
However, if you used the distributive property, you would get -2n - 6 = 13. Then you could add 6 to both sides and get -2n = 19. Finally, to solve for n, you would divide both sides by -2 to get n = -9.5.
Hope this helps!
Answer:
48
Step-by-step explanation:
multiples of 6: 6 12 18 24 30 36 42 48 54 60
multiples of 16: 16 32 48 64
lowest one is 48
