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cozyfire
 3 years ago
In an experiment' the population P of bacteria in t hours is given by P=1000e^kt,where k is constant. If the size of the population of bacteria is found to be 3000 after 10 hours, what is the size of the population after 5 hours?
cozyfire
 3 years ago
In an experiment' the population P of bacteria in t hours is given by P=1000e^kt,where k is constant. If the size of the population of bacteria is found to be 3000 after 10 hours, what is the size of the population after 5 hours?

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AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1first of all : \[\huge \color{green}{\text{WELCOME TO OPENSTUDY!}}\]

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1ok now to your question: first use the given information to get value of k

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1@cozyfire just use the equation and substitute values

cozyfire
 3 years ago
Best ResponseYou've already chosen the best response.0umm k=0.109861228 what's next??

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1if you get the value of k use the equation again to get P .

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1because with k known p is thee only unknown in the second part of question

cozyfire
 3 years ago
Best ResponseYou've already chosen the best response.0what i don't understand is how will you eliminate e using the calculator?? sorry we haven't discussed this yet it's our assignment to figure it out

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1eliminate e ? then how did you get k value?

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1in btw the k value you reported is correct as well as accurate :)

cozyfire
 3 years ago
Best ResponseYou've already chosen the best response.0well i kinda followed some equation and just substituted the values but if i will solve this i will get In(P/1000)=5k i don't know what to do next

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1well lets look at second part then

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1you got k value as .109 Now \[\large P=1000 e^{0.109 \times 10}\]

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1e approx value is 2.718

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.1oops one correction its 5 not 10

cozyfire
 3 years ago
Best ResponseYou've already chosen the best response.0yup thank u very much!!

donimic4
 3 years ago
Best ResponseYou've already chosen the best response.0Your welcome :) lol jk
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