Answer:
900,000 6
∴ there are 900,000 6-digit numbers in all.
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
Learn more about equilibrium point here : brainly.com/question/1915798
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Answer:
Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min. When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.
Step-by-step explanation:
Answer:
36x44 feet are the dimensions of the yard.
Step-by-step explanation:
Given that the blueprint for landscaping a yard has a scale of 1/2" to 1 foot.
i.e. scaling factor is 1/2 for one foot.
If real dimension is 1 foot, it is shown as 1/2 inch in blue print.
Using this we can find the real dimensions if given blue print dimensions.
The blueprint is a rectangle 18inches by 22 inches,
Hence real length of rectangle = 18(2) feet = 36 feet
Width of rectangle = 22(2) = 44 feet
i.e. the yard has dimensions as 36x44 feet.
Answer: b = 10
Step-by-step explanation:
We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).
Ratio of (1/4)/(5/4):
(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2
We want 2/b = 1/5 or 0.20
2/b = 0.20
b = 2/0.20
b = 10
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Check: Does 10/2 = (1/4)/(5/4)?
Yes
b is 10
