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

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

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

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

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

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

cozyfire
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.1well lets look at second part then

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

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

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

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