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b.

 

Whatever the value of 2000*199*e^-5 / (1 + 199*e^-5)^2 is.

 

c.

 

% rate of change = (rate of change/total number so far) * 100%

 

= N'(t)/N(t) * 100%

 

= [2000*Ce^-t/(1+*Ce^-t)^2]/[2000/(1+Ce^-t)] * 100%

 

= Ce^-t/(1+Ce^-t) * 100%

 

= 19900e^-t/(1+199e^-t)%

 

d. 1+199e^-t = 19900e^-t

 

19701e^-t = 1

 

e^-t = 1/19701

 

t = ln 19701

 

= 10 days (0dp)

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