15% becomes 0.15
multiply it by 8700
0.15x8700=1305
Answer:
more than
Step-by-step explanation:
Answer:
The answer to your question is 600 cups
Step-by-step explanation:
Data
Cylinder Cup
diameter = 30 in diameter = 3 in
height = 24 in height = 4 in
Process
1.- Calculate the volume of the cylinder
Volume = πr²h
-Substitution
Volume = (3.14)(30/2)²(24)
-Simplification
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
-Result
Volume = 16959 in³
2.- Calculate the volume of the cup
Volume = (3.14)(3/2)²(4)
-Simplification
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
-Result
Volume = 28.26 in³
3.- Divide the volume of the cylinder by the volume of the cup
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
The equation is that of a parabola, meaning that the maximum (or sometimes minimum) is 1/2 the sum of the solutions found using the quadratic equation.
y = 0 for the 2 solutions to {-b +/- sqrt[b2 - 4ac]} / 2a, where a = -3, b = 152 and c = -1150 from the equation for y. Plug a, b and c into the quadratic formula to get x = 9.2571 and x = 41.4095 as the 2 solutions.
9.2571 + 41.4095 = 50.6666... and the midpoint is 25.3333...
When x = 25.3333..., y = 775.33333.....
To the nearest cent, x=25.33 results in a profit of 775.33.
When x=25.25, Y = 775.31
When x=25.4, Y = 775.32
These are both less than 775.33 when x = 25.33.
