Area of a sphere = 4(pi)(r)^2
Reverse the equation to find the radius (r)
The answer will be in pi form
32/81(pi)
8/20.25(pi)
Square root of 8/20.25(pi) = radius
r = 2.8(rounded)/4.5(pi)
:)
100 + 0.50c = 1.50c <== ur equation
100 = 1.50c - 0.50c
100 = c....so he would have to sell 100 cups of coffee to break even
Answer:
Fixed cost $14 -350 messages
variable $ 0.25 each message<u> i think</u>
Step-by-step explanation:
Answer:
C(p) = 4,96 (in thousands of dollars)
l = 2980 $ invest in labor
k = 2980 $ invest in equipment
Step-by-step explanation:
Information we have:
Monthly output P = 450*l*k ⇒ k = P/450*l
But the production need to be 4000
Then k = 4000/450*l
Cost of production = l * k (in thousands of dollars)
C(l) = l + 4000/450*l
Taking derivatives (both members of the equation)
C´(l) = 1 - 400 /45*l² ⇒ C´(l) = 0 ⇒ 1 - 400/45l² = 0
45*l² - 400 = 0 ⇒ l² = 400/45
l = 2.98 (in thousands of dollars)
l = 2980 $ And
k = 400/45*l ⇒ k 400/45*2.98
k = 2.98 (in thousands of dollars)
C(p) = l + k
C(p) = 2980 + 2980
C(p) = 5960 $
Step-by-step explanation:
If a cannonball is shot directly upward with a velocity of 160 ft per second. Its height as a function of time is given by :
.......(1)
t is in seconds
(a) Velocity is given by :
Acceleration is given by :

(b) For maximum height put 
i.e.

Put t = 5 s in equation (1). So,

(c) When the ball reaches ground, its height is equal to 0. So,
h(t) = 0

Hence, this is the required solution.