rayford
  • rayford
The number of milligrams of a drug that remains in a patient’s system after t hours is given by the function A(t) = Iert. Juan was given 600 milligrams of medicine which leaves his bloodstream at a rate of 30%. How much of the medicine remains in his system after 6 hours? 150.62 mg 133.90 mg 111.58 mg 99.18 mg
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\(A(t)=le^{rt}\) ?
rayford
  • rayford
sir??
anonymous
  • anonymous
is that what you wrote?

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rayford
  • rayford
yes..
rayford
  • rayford
i'm sorry
anonymous
  • anonymous
in any case i assume it is at a rate of 30% per hour, so you can solve this by computing \[600\times (.7)^6\]
rayford
  • rayford
ok i'm with you?
anonymous
  • anonymous
sure did you get the answer?
rayford
  • rayford
i got 49.412..?
anonymous
  • anonymous
hmm i don't get any of the above answers when i compute. not sure what is going on
anonymous
  • anonymous
oooh ok i see it. this is really not right, but i will go along with it in any case they want you to compute \[600e^{-.3\times 6}=600e^{-1.8}\]
anonymous
  • anonymous
rayford... thanks... btw im not a creeper u asked me first
anonymous
  • anonymous
looks like you get \(99.18\) rounded http://www.wolframalpha.com/input/?i=600e^%28-1.8%29
rayford
  • rayford
huh...that's kinda weird?
rayford
  • rayford
but ok thanks man..

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