Answer: 48 sold-out performances must be played in order for you to break even.
Step-by-step explanation:
Let x represent the number of sold-out performances must be played in order for you to break even.
You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be
2500x + 30000
A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be
3125x
To break even, cost = revenue
Therefore,
2500x + 30000 = 3125x
3125x - 2500x = 30000
625x = 30000
x = 30000/625
x = 48
The area of a circle in terms of the circle's radius
![r](https://tex.z-dn.net/?f=r)
is
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
Differentiating both sides with respect to
![t](https://tex.z-dn.net/?f=t)
, you get
ANSWER
![x=\frac{13}{62}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B13%7D%7B62%7D)
and
e have
EXPLANATION
![17x-3y=4---(1)](https://tex.z-dn.net/?f=17x-3y%3D4---%281%29)
![2x-4y=1](https://tex.z-dn.net/?f=2x-4y%3D1)
Let us make y the subject and call it equation (2)
![2x=1+4y](https://tex.z-dn.net/?f=2x%3D1%2B4y)
![x=\frac{1}{2}+2y--(2)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%2B2y--%282%29)
We put equation (2) in to equation (1)
![17(\frac{1}{2}+2y)-3y=4](https://tex.z-dn.net/?f=17%28%5Cfrac%7B1%7D%7B2%7D%2B2y%29-3y%3D4)
![\frac{17}{2}+34y-3y=4](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B2%7D%2B34y-3y%3D4)
![34y-3y=4- \frac{17}{2}](https://tex.z-dn.net/?f=34y-3y%3D4-%20%5Cfrac%7B17%7D%7B2%7D%20)
Simplify to get,
![31y= \frac{8-17}{2}](https://tex.z-dn.net/?f=31y%3D%20%5Cfrac%7B8-17%7D%7B2%7D%20)
![31y= \frac{-9}{2}](https://tex.z-dn.net/?f=31y%3D%20%5Cfrac%7B-9%7D%7B2%7D%20)
Divide both sides by 31,
![y= \frac{-9}{2} \div 31](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-9%7D%7B2%7D%20%5Cdiv%2031)
![y= \frac{-9}{2} \times \frac{1}{31}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-9%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B31%7D)
![y= \frac{-9}{62}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-9%7D%7B62%7D)
We put this value in to equation (2) to get,
![x=\frac{1}{2}+2\times -\frac{9}{62}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%2B2%5Ctimes%20-%5Cfrac%7B9%7D%7B62%7D)
![x=\frac{1}{2} -\frac{18}{62}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%20-%5Cfrac%7B18%7D%7B62%7D)
We collect LCM to obtain,
![x=\frac{31-18}{62}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B31-18%7D%7B62%7D)
![x=\frac{13}{62}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B13%7D%7B62%7D)
Answer:
Domain- the set of possible values of the independent variable or variables of a function.
Range- the set of values that a given function can take as its argument varies.
Answer:
2
Step-by-step explanation:
Brandon picked 14 pounds of cherries but later in the afternoon Brandon's brother ate 12 so you would subtracts
14-12 = 2