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anonymous
 5 years ago
The number of bacteria in a culture is given by n(t) = 400e^0.24t (t hours).
a) find t when the population is 2730.
b) Find t when the population is 4400.
b) sketch the model n(t)=400e^0.24t using all the information above.
how to do this?
anonymous
 5 years ago
The number of bacteria in a culture is given by n(t) = 400e^0.24t (t hours). a) find t when the population is 2730. b) Find t when the population is 4400. b) sketch the model n(t)=400e^0.24t using all the information above. how to do this?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0substitute n(t) = 2730 and n(t) =4400 to find t for those two values.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0400e^0.24t = 2730 0.24t = log2730 to the base 400e 0.24t = 1.13 t = 4.71 hours or 4 hrs 42 mins and 55 seconds

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you remember how we talked about logarithms? well natural log is represented as log to the base e, called ln so ln e^0.24t = 0.24t

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for b) it is 0.24t = log 4400 to the base 400e 0.24t = 1.2 t = 5 hours

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0@ dhatraditya Yup, I remember about it.. but, in here I got different result in doing it.. @ ishan_meswani so the t is 4.71 hrs?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0natural log is log to the base e. e is euler's number e is roughly 2.71

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you must have taken log, which we ssume to be log to the base 10. what you need to do is take ln.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0to plot the graph plot t as the x co ordinate and the population as the y axis

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for the b part, somehow I got the result as 9.99.
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