We are given the functions:
<span>S (p) = 40 + 0.008 p^3 --->
1</span>
<span>D (p) = 200 – 0.16 p^2 --->
2</span>
T o find for the price in which the price of supply equals
demand, all we have to do is to equate the two equations, equation 1 and 2, and
calculate for the value of p, therefore:
S (p) = D (p)
40 + 0.008 p^3 = 200 – 0.16 p^2
0.008 p^3 + 0.16 p^2 = 160
p^3 + 20 p^2 = 20,000
p^3 + 20 p^2 – 20,000 = 0
Calculating for the roots using the calculator gives us:
p = 21.86, -20.93±21.84i
Since price cannot be imaginary therefore:
p = 21.86
Answer:
-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-4)/(-7-(-9))
m=-6/(-7+9)
m=-6/2
m=-3
Hope this helps with your question;)
Answer:
37.7 inches
Step-by-step explanation:
She wants to paint the line along the circumference of the plate.
The plate is circular; the circumference of a circle is given as:
C = πD
where D = diameter
The diameter of the plate is 12 inches, therefore:
C = π * 12 = 37.7 inches
The line will be 37.7 inches long.
the answer should be 13935/100