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
100 percent maybe you said it. 100 percent of 100 is 100. That's how it's always worked the past......I don't know since math started.
Answer:
363.22
Step-by-step explanation:
<u>Method 1: </u>
You could find the whole figure surface area than divided by 1/2
<u>Method 2:</u> (the one I'm going to personally be doing)
Break the figure into two rectangular figures
Formula for surface area of rectangular prism:
A = 2(width x length + height x length + height x width)
Figure 1:
A = 2(width x length + height x length + height x width)
height = 3.8 yd
length = 10.1 yd
width = 4.3 yd
A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))
A = 2(98.15)
A = 196.3
Figure 2:
A = 2(width x length + height x length + height x width)
height = 8.4 yd
length = 10.1 yd
width = 2 yd
A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))
A = 2(121.84)
A = 243.68
There is overlapping surface area that shouldnt be include so we need to subtract it...
<u>For one face of figure 1</u>
3.8 x 10.1 = 38.38
Total:
Figure 1 + Figure 2 - 2(one face)
196.3 - 38.38 = 157.92
243.68 - 38.38 = 205.3
205.3 + 157.92 = 363.22
Answer: The required value of z is 6.
Step-by-step explanation: Given that 5+2z is 3 more than 3z-4.
We are to find the value of z.
According to the given information, the equation expressing the given statement mathematically can be written and solved as follows:
5+2z=(3z−4)+3
⇒5+2z=3z−1
⇒3z−2z=5+1
⇒z=6.
Thus, the required value of z is 6.
The function is divided by 12, you would find it out by dividing 120 by 10 and getting 12, if you wanted to check your answer, you would do 84 divided by 7 which is 12. the answer to 12 is 1 and 24 is 2. hope this helped :))