This is a number you will have memorized in grade school. If not, you can always perform long division of 2 by 3 to find it---or ask your calculator.
2/3 = 0.6666_6 . . . . . . repeating 6s indefinitely
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Most folks get tired of writing 6s after a couple million of them, so they round it off to 0.67 or 0.667. These rounded values are NOT exactly 2/3.
Answer:
x(t) = 2000 - e^(-k*t)
Step-by-step explanation:
Interpretation:
No . infected student = x
Total student = 2000
rate of infected students = dx / dt
not-infected student = 200 - x
The general rate at which student are infected can be expressed as below:
dx / dt = k * ( 2000 - x )
To develop an expression of x(t) we integrate the above expression by separating variables:
dx / (2000 - x ) = k * dt
Now integrate:

@ t = 0 , infected students x = 0
Hence,
C = - ln (2000)

Answer:
30%
Step-by-step explanation:
