Answer: U=-14
Explanation:
Answer:
Step-by-step explanation:
Given the Total revenue R(x) = 2x
Cost C(x) = 0.01x²+0.3x+30 where;
x = 30 and dx/dt = 9units per day.
Rate of change of revenue dR/dt = dR/dx • dx/dt
dR/dt = 2dx/dt
dR/dt = 2(9) = $18
Rate of change of revenue with respect to time is 18dollars/day.
Rate of change of cost dC/dt = dC/dx • dx/dt
dC/dt = (0.02x+0.3)dx/dt
dC/dt at x = 30 and dx/dt = 9 will give;
dC/dt = {0.02(30)+0.3}×9
dC/dt = (0.6+0.3) × 9
dC/dt = 0.9×9
dC/dt = $8.1
Rate of change of cost with respect to time is 8.1dollars/day
Profit = Revenue - Cost
Profit = 18-8.1
Daily Profit = $9.9
9.66 - you just multiple 6 by 1.61
Answer:
79.6 cm^3
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
sphere A radius 2 cm so r[A] = 2 cm
sphere B radius 3 cm so r[B] = 3 cm
distance between the surfaces of the 2 spheres is 1 cm
To find volume of each sphere and the difference in volume:
pi r^2 * r - (1/3) pi r^2 * r = (2/3) pi r^3
The answer is C. If you use the pythagorean theorem,
, and connect the two points together at a right angle and pug in the lengths of the two lines to the equation then the answer should be C.
