document.write( "Question 1061424: This is a word problem for my AlgebraII class that I'm stuck on, because I don't know how to set it up. It's a growth and decay problem of the form A=Pe^rt and the problem is
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document.write( "In the early 1960's, radioactive strontium-90 was released during atmospheric testing of nuclear weapons, and infiltrated the bones of people alive at the time. If the half life of strontium-90 is 29 years, what fraction of strontium-90 absorbed in 1960 remains in the bones in 2016.
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document.write( "I don't understand the way the book shows these problems, so if you could help that would be amazing. \n" );
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Algebra.Com's Answer #676206 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! It's a growth and decay problem of the form A=Pe^rt and the problem is \n" ); document.write( "In the early 1960's, radioactive strontium-90 was released during atmospheric testing of nuclear weapons, and infiltrated the bones of people alive at the time. If the half life of strontium-90 is 29 years, what fraction of strontium-90 absorbed in 1960 remains in the bones in 2016. \n" ); document.write( "------- \n" ); document.write( "Not sure how you book wants you to solve these \n" ); document.write( "decay problems; but here's one way. \n" ); document.write( "--------------- \n" ); document.write( "A(t) = P*e^(rt) \n" ); document.write( "--- \n" ); document.write( "Since the half-life is 29 years, \n" ); document.write( "P*e^(r*29) = (1/2)P \n" ); document.write( "[e^29]^r = (1/2) \n" ); document.write( "r = ln(1/2)/ln(e^29) = ln(1/2)/29 = -0.0239 \n" ); document.write( "======= \n" ); document.write( "Your problem:: \n" ); document.write( "A(6) = P*e^(-0.0239*6) \n" ); document.write( "A(6) = P*0.8664 \n" ); document.write( "Ans: 87/100 of the original amount remains after 6 years \n" ); document.write( "----- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------- \n" ); document.write( " \n" ); document.write( " |