Answer:
The price where the manufacture sells the maximum number of toys is $20
Step-by-step explanation:
The given equation for that represents the number of toys the manufacturer can sell is given as follows;
T = -4·p² + 160·p - 305
Where;
p = The price of the toys in dollars
At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0
Therefore, at the maximum point;
The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160
∴ -8·p + 160 = 0
160 = 8·p
8·p = 160
p = 160/8 = 20
The price where the manufacture sells the maximum number of toys is = p = 20 dollars
Answer:
10 ft cubed
Step-by-step explanation:
The volume of a pyramid is 1/3 the volume of a prism with the same base area & height.
30/3=10
Z = k * x
55 = k * 5
divide both sides by 5
11 = x
z = 11x
z = 11 * 12
z = 132
Rectangles<span> and squares are </span>alike<span> in that both have </span>two<span> pairs of parallel sides and four right angles.</span>
4*-5 is -20 is does not equal -25 so it’s false