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:
78 miles per hour
Step-by-step explanation:
Formula for speed is Distance divided by Time. (D/T)
The distance between Station A and Station C can be found be adding the distance from A to B and B to C. (20.8 Miles)
Same concept would go for the time.
Time to get from A to B added with B to C. (16 Minutes)
However, the time is in minutes and the question calls for hours. Divide 16 by 60, you get around 0.27.
20.8 divided by 0.27 would be around 77.9, or 78 miles per hour.
Hope this helps :)
We can use a variable equation to solve this. Let A represent alan's age, B represent bob's age, and C represent Cindy's age. So Bob's age would be Alan's age - 5, or a -5 = B. Then Bob's age would be double Cindy's age, so that means 2 multiplied by Cindy's age = Bob's age, or 2C = B. Your two equations are:
A - 5 = B
2C = B
Also a third equation that helps is A + B + C = 20.
Finally, here are the ages.
Alan = 11 years old
Bob = 6 years old
Cindy = 3 years old.
PS: Sorry, I'm not that good at explaining things, but here are the answers
I think yz is 118 since 59(2) is 118, now i multipled it by 2 since the ratio of ad and dc was 2:1
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