Answer:
x=6
Step-by-step explanation:
use trig identities
Answer:
![\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)],$ x(0)=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20kx%28t%29%5B1000-x%28t%29%5D%2C%24%20%20x%280%29%3D0)
Step-by-step explanation:
Total Number of People on Campus =1000
Let the number of people who have contracted the flu =x(t)
Therefore, the number of people who have not contracted the flu =1000-x(t)
Since the rate at which the disease spreads is proportional to the number of interactions between the people who have the flu and the number of people who have not yet been exposed to it.
![\dfrac{dx(t)}{dt} \propto x(t)[1000-x(t)]](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%5Cpropto%20x%28t%29%5B1000-x%28t%29%5D)
Introducing the proportional constant k, we obtain:
![\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)]](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20kx%28t%29%5B1000-x%28t%29%5D)
At t=0, there was no infected on the campus, therefore the initial condition is given:

Therefore, a differential equation for the number of people x(t) who have contracted the flu is:
![\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)],$ x(0)=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20kx%28t%29%5B1000-x%28t%29%5D%2C%24%20%20x%280%29%3D0)
Answer:
The total money spend on total tax of purchase is $4.625
Step-by-step explanation:
Given as :
The percentage of sales tax applied on gasoline purchase = 8.5%
The percentage of excise tax applied on gasoline purchase = 10%
The price of gasoline before tax = $25
Let The total money on total tax of purchase = $x
Now, Total percentage of tax = sales tax percentage + excise tax percentage
i.e Total percentage of tax = 8.5% + 10%
Or, Total percentage of tax = 18.5%
<u>Again</u>
total money on total tax of purchase = $25 of total total tax percentage
Or, x = $25 × 18.5%
Or, x = $25 × 
Or, x = $25 × 0.185
∴ x = $4.625
So,The total money on total tax of purchase = x = $4.625
Hence,The total money spend on total tax of purchase is $4.625 Answer
Answer:
7 :)
Step-by-step explanation:
Answer:
The correct option is B
Step-by-step explanation: