Provide an appropriate response.The demand equation for a certain product is p = 25 - 0.005q, where p is the price per unit (in dollars) for q units. If its supply equation is p = 1 + 0.03q, then the consumers' surplus when market equilibrium is established is
A. $1176.49
B. $1250.87
C. $1500.
D. $1675.30
E. $1800.
Answer: A
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Solve the problem.A hiker wants to know the height of a cliff. She finds that the angle of elevation from her current position to the top of the cliff is 24.6°. She then hikes 171 feet towards the cliff (in a straight line) and finds that the angle of elevation from her new position is 57.6°. How tall is the cliff? Round your answer to the nearest hundredth of a foot when necessary.
A. 110.35 ft B. 115.47 ft C. 112.65 ft D. 106.9 ft
Find the unit vector that has the same direction as the vector v.v = 5i
A. u = 5i
B. u = 25i
C. u = i
D. u = 
i
Find the standard equation of the ellipse shown in the figure. Identify the coordinates of the vertices, endpoints of the minor axis, and the foci.
A. 
+ 
= 1; V(0, ±4); U(±3, 0); F(±4, 0)
B. 
+ 
= 1; V(0, ±4); U(±3, 0); F(0, ±
)
C. 
+ 
= 1; V(±3, 0); U(0, ±3); F(±5, 0)
D. 
+ 
= 1; V(±4, 0); U(0, ±3); F(±
, 0)
Combine like terms.8xy + 5y2 - 4xy + 8x2
A. -32xy + 40x2y2 B. 17x2 + 17xy + 17y2 C. 8x2 + 4xy + 5y2 D. 4xy + 40x2y2