I still cant see it sorry cant help without seeing it can you spell the question?
Answer:
c
Step-by-step explanation:
she pays a one-time fee of 50, and 15$ per month
Answer:
420
Step-by-step explanation:
Answer:
![r'(t) = 298t -850](https://tex.z-dn.net/?f=r%27%28t%29%20%3D%20298t%20%20-850)
Step-by-step explanation:
Given
![q(t) = 1000t - 150t^2](https://tex.z-dn.net/?f=q%28t%29%20%3D%201000t%20-%20150t%5E2)
![p(t) = 150t - t^2](https://tex.z-dn.net/?f=p%28t%29%20%3D%20150t%20-%20t%5E2)
Required
![r'(t)](https://tex.z-dn.net/?f=r%27%28t%29)
First, we calculate the revenue
![r(t) = p(t) - q(t)](https://tex.z-dn.net/?f=r%28t%29%20%3D%20p%28t%29%20-%20q%28t%29)
So, we have:
![r(t) = 150t - t^2 - (1000t - 150t^2)](https://tex.z-dn.net/?f=r%28t%29%20%3D%20150t%20-%20t%5E2%20-%20%281000t%20-%20150t%5E2%29)
Open bracket
![r(t) = 150t - t^2 - 1000t + 150t^2](https://tex.z-dn.net/?f=r%28t%29%20%3D%20150t%20-%20t%5E2%20-%201000t%20%2B%20150t%5E2)
Collect like terms
![r(t) = 150t^2 - t^2 + 150t - 1000t](https://tex.z-dn.net/?f=r%28t%29%20%3D%20150t%5E2%20-%20t%5E2%20%2B%20150t%20-%201000t)
![r(t) = 149t^2 -850t](https://tex.z-dn.net/?f=r%28t%29%20%3D%20149t%5E2%20%20-850t)
Differentiate to get the revenue change with time
![r'(t) = 2 * 149t -850](https://tex.z-dn.net/?f=r%27%28t%29%20%3D%202%20%2A%20149t%20%20-850)
![r'(t) = 298t -850](https://tex.z-dn.net/?f=r%27%28t%29%20%3D%20298t%20%20-850)