Answer: 
Step-by-step explanation:
Given
diameter of each candle is 
The height of each candle is 
The volume of a cylinder is 
The volume of each candle is

For 5 candles it is

Total wax used for 5 candles is 
A = B × h
A = 4x^2 + 2x + 6
h = 2x^2
B = A/h
B = (4x^2 + 2x + 6)/(2x^2)
B = (2x^2 + x + 3)/x^2
Answer: I think the Sales tax is 0.5 because 0.5 X 3 is 1.5, He paid $24 in total for the books so you would do 24 + 1.5 and get 25.50, So it would have to be 0.5 sales tax for one book. Sorry about my English.
Ok. So we are going to multiply 500,000 and .19
Personal use: 500,000*.19=95,000
Industrial use: 500,000*.42=210,000
In this work, it shows that there is more used for industrial use than for personal use.
But none the less. We are going to subtract this. 210,000-95,000=115,000. 115,000 more gallons are used for industrial use than for personal use.
I hope this helps, if you have any other questions on this or any other question, just ask. I am here to help you as needed.
Answer:
$15,339
Step-by-step explanation:
C(x) = 0.5x² − 100x + 20,339
Since this is a parabola, the minimum cost is at the vertex:
x = -b / (2a)
x = -(-100) / (2 × 0.5)
x = 100
So the minimum cost is:
C(100) = 0.5(100)² − 100(100) + 20,339
C(100) = 15,339