Step-by-step explanation:
Under 18 tickets: 5062-3484=1578
Total money: 3484*18+1578*12=81648$
100%-85%=15% goes to community projects
So, (15/100)*81648=12247.2 $
Answer:
The sheet should be turned up 7.5cm on each side to obtain maximum volume.
Step-by-step explanation:
If we make a rectangular eavesdrop, by bending the sheet along dotted line, then.
Height of eaves trough = x cm
Length of eaves trough = 600 cm
Width of eaves trough = (30 - 2x) cm
We know that Volume is given by:
V = Length · Width · Height
V = (x)(30 - 2x)(600)
V = -1200x² + 18000x
To maximize the volume, we take the derivative and put it equal to zero.

Answer: 
Step-by-step explanation:
We are given the following formula, used to calculate the value of an used car according to the years after the car was originally bought:

Where
is the price of the car when it was bought new, and
is the number of years the car was used.
Solving the formula with the given data:
This is the value of the car according to the formula.
However, this value can be approximated to:

Greatest common factor is 1 :)