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rayford

  • 2 years ago

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

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  1. satellite73
    • 2 years ago
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    \(A(t)=le^{rt}\) ?

  2. rayford
    • 2 years ago
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    sir??

  3. satellite73
    • 2 years ago
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    is that what you wrote?

  4. rayford
    • 2 years ago
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    yes..

  5. rayford
    • 2 years ago
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    i'm sorry

  6. satellite73
    • 2 years ago
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    in any case i assume it is at a rate of 30% per hour, so you can solve this by computing \[600\times (.7)^6\]

  7. rayford
    • 2 years ago
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    ok i'm with you?

  8. satellite73
    • 2 years ago
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    sure did you get the answer?

  9. rayford
    • 2 years ago
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    i got 49.412..?

  10. satellite73
    • 2 years ago
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    hmm i don't get any of the above answers when i compute. not sure what is going on

  11. satellite73
    • 2 years ago
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    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 \[600e^{-.3\times 6}=600e^{-1.8}\]

  12. bieberfan
    • 2 years ago
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    rayford... thanks... btw im not a creeper u asked me first

  13. satellite73
    • 2 years ago
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    looks like you get \(99.18\) rounded http://www.wolframalpha.com/input/?i=600e^%28-1.8%29

  14. rayford
    • 2 years ago
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    huh...that's kinda weird?

  15. rayford
    • 2 years ago
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    but ok thanks man..

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