document.write( "Question 1113350: I have worked this problem out several time and keep getting the same answer of 68 mg and 88 minutes. However it keeps saying I am wrong. Here is the problem:\r
\n" ); document.write( "\n" ); document.write( "During surgery, a patient's circulatory system requires at least 50 milligrams of an anesthetic. The amount of anesthetic present t hours after 100 milligrams of anesthetic is administered is given by the following.
\n" ); document.write( "T(t) = 100(0.727)t
\n" ); document.write( "(a) How much, to the nearest milligram, of the anesthetic is present in the patient's circulatory system 20 minutes after the anesthetic is administered?
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\n" ); document.write( " mg\r
\n" ); document.write( "\n" ); document.write( "(b) How long, to the nearest minute, can the operation last if the patient does not receive additional anesthetic?
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\n" ); document.write( " min
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Algebra.Com's Answer #728359 by Boreal(15235)\"\" \"About 
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20 minutes is 1/3 hour.
\n" ); document.write( "t(1/3)=100*(0.727)^(1/3)=100*0.8992=89.92 or 90 minutes
\n" ); document.write( "50=100*0.727^t
\n" ); document.write( "0.5=0.727^t
\n" ); document.write( "ln both sides
\n" ); document.write( "-0.693=t ln (0.727)
\n" ); document.write( "t=-0.6931/-0.3188
\n" ); document.write( "=2.17 hours or 2 hours 10 minutes
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