anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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AravindG
  • AravindG
first of all : \[\huge \color{green}{\text{WELCOME TO OPENSTUDY!}}\]
anonymous
  • anonymous
lol
AravindG
  • AravindG
ok now to your question: first use the given information to get value of k

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AravindG
  • AravindG
@cozyfire just use the equation and substitute values
AravindG
  • AravindG
k is the unknown
anonymous
  • anonymous
umm k=0.109861228 what's next??
AravindG
  • AravindG
if you get the value of k use the equation again to get P .
AravindG
  • AravindG
because with k known p is thee only unknown in the second part of question
anonymous
  • anonymous
what 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
  • AravindG
eliminate e ? then how did you get k value?
AravindG
  • AravindG
in btw the k value you reported is correct as well as accurate :)
anonymous
  • anonymous
well 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
  • AravindG
well lets look at second part then
AravindG
  • AravindG
you got k value as .109 Now \[\large P=1000 e^{0.109 \times 10}\]
AravindG
  • AravindG
e approx value is 2.718
AravindG
  • AravindG
can you do it now?
AravindG
  • AravindG
oops one correction its 5 not 10
anonymous
  • anonymous
yup thank u very much!!
AravindG
  • AravindG
yw :)
anonymous
  • anonymous
Your welcome :) lol jk

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