Answer: The equilibrium point is where; Quantity supplied = 100 and Quantity demanded = 100
Step-by-step explanation: The equilibrium point on a demand and supply graph is the point at which demand equals supply. Better put, it is the point where the demand curve intersects the supply curve.
The supply function is given as
S(q) = (q + 6)^2
The demand function is given as
D(q) = 1000/(q + 6)
The equilibrium point therefore would be derived as
(q + 6)^2 = 1000/(q + 6)
Cross multiply and you have
(q + 6)^2 x (q + 6) = 1000
(q + 6 )^3 = 1000
Add the cube root sign to both sides of the equation
q + 6 = 10
Subtract 6 from both sides of the equation
q = 4
Therefore when q = 4, supply would be
S(q) = (4 + 6)^2
S(q) = 10^2
S(q) = 100
Also when q = 4, demand would be
D(q) = 1000/(4 + 6)
D(q) = 1000/10
D(q) = 100
Hence at the point of equilibrium the quantity demanded and quantity supplied would be 100 units.
Answer:
Pay attention to class
Step-by-step explanation:
Answer:
Common Difference(d) is
Step-by-step explanation:
Given sequence is :
If a sequence has a constant common difference throughout the sequence, then the sequence is called Arithmetic Progression.
Considering a sequence:
where 'd' is the common difference of the A.P.
Similarly, finding the common difference of the given sequence.
Common Difference(d) is
<span>450
Camila started with 450 cards. She gave Erin half of them (225) and her brother a sixth of them (75). She was left with 150 cards (450 - 225 - 75 = 150).
If x = number of cards Camila started with, then x/2 = half the cards and x/6 = one sixth of the cards. 150 = number of cards left.
This can be represented as:
x - x/2 - x/6 = 150
Multiply by 6 and solve for x
6x - 3x -x = 900
2x = 900
x = 450 = number of cards Camila started with</span>
