The equilibrium point for the pair of demand and supply function is 100
We have been two linear function, one is linear supply function and other is linear demand function.
In general , linear supply function is given as:
Qs = x + yP
Where , Qs = quantity supplied
x = quantity
P = price
And linear demand function is given is :
Qd = x + yP
Where , Qs = quantity supplied
x = quantity
P = price
According to the question,
Linear supply function is q = 300 + 5x
And linear demand function is q = 4800 – 40x
To find the equilibrium point we will put two quantities equal, that is,
Qs = Qd
300 + 5x = 4800 – 40x
5x + 40x = 4800 – 300
45x = 4500
x = 100
Hence the equilibrium point is 100
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Amount after 3 years = 4000( 1 + 0.04)^3 = $4,499.46 answer
Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1
Step-by-step explanation:
Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.
Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.
Event A - get a green or yellow marble
Event B - get a pink marble
Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.
Probability of combined events is
