Answer:
Step-by-step explanation:
Given the approximate demand function of night drink expressed as;
p^2+200q^2=177,
p is the price (in dollars) and;
q is the quantity demanded (in thousands).
Given
p = $7
q = 800
Required
dq/dp
Differentiating the function implicitly with respect to p shown;
2p + 400d dq/dp = 0
400q dq/dp = -2p
200qdq/dp = -p
dq/dp = -p/100q
substitute p and q into the resulting equation;
dq/dp = -7/100(800)
dq/dp = -7/80000
dq/dp = -0.0000875
This means that the rate of change of quantity demanded with respect to the price is -0.0000875
The store which offers the greater discount is store B.
<h3>Discount</h3>
Store A:
First week = 10%
= 10/100
= 0.1
Second week = 20%
= 20/100
= 0.2
Total discount = (0.1 + 0.2) / 2
= 0.15
Store B:
25%
= 25/100
= 0.25
Therefore, the store which offers the greater discount is store B.
Learn more about discount:
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Answer:
(D)
Step-by-step explanation:
From the figure, we have
The coordinates of the point F are: (-4,1).
The coordinates of the point G are: (0,-2)
The coordinates of the point J are: (0,4) and
The coordinates of the point H are: (-4,-2).
Now, the slope of the line FG is :
And, the slope of the line HJ is:
Now, 
which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.
