Let's define variables:
x: number of times the ticket price increases ($ 1).
The income is given by:
I(x) = (15 + x)(500-20x)
We can rewrite this function in the following way:
I (x) = - 20x ^ 2 + 200x + 7500
We use the following equation to find the maximum:
max = (-b)/(2a)
where:
then, we have:
max = (-200)/(2(-20))
max = (200)/(40)
max=5
Thus, the ticket price that maximizes the benefit is:
15 + x = 15 + 5 = 20 $
Answer:
A ticket price that will maximize the charity's profit, if there are total 500 seats in the concert hall is:
$ 20
Answer is B) 13L.
Explanation:
We can calculate the number of liters of cleaning solution required to clean up a surface with the given area by simple method of proportion.
If 25m^2 area requires 5L of cleaning solution,
then let x be the number of liters required for cleaning a 65m^2 area.
We can write it as:
25 / 65 = 5 /x
x = (5 x 65) / 25 = 325/25 = 13
So, 13 litres of cleaning solution is required to clean a surface with 65m^2 area.
Answer:
Around 8.5 hours.
Step-by-step explanation:
Answer:
7238 rounded to the nearest whole number.
Step-by-step explanation:
To find the volume of the sphere, we use the formula.
The radius will be 24 units ÷ 2 = 12 units.
Hence, the volume is
When entered in a calculator you'll get a result of 7238.23 cubic units in or 7238 rounded to the nearest whole number.
1/4 of the population is A+
if you wanted 5/9 to have that blood type you would need to make an equation using 1/4 and 5/9.
5/9 x 1/4 = 5/36 or 0.139
You can verify because of all 9 had the A+ you can do the same equation but with 9/9 and 1/4
9/9 x 1/4 = 9/36 which is 0.25 or 1/4