document.write( "Question 378592:  This problem is about Radioactive decay...I am having a hard time solving the problem below..Any help will be appreciated.  Thank you..Could you show me the steps please?\r
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document.write( "the bones of a math professor contain 98% of the original amount of carbon 14 (decay rate =0.012% per year) how long ago did he die? \n" );
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| Algebra.Com's Answer #268905 by stanbon(75887)      You can put this solution on YOUR website! the bones of a math professor contain 98% of the original amount of carbon 14 (decay rate =0.012% per year) how long ago did he die? \n" ); document.write( "--- \n" ); document.write( "Note 0.012% = 0.012/100 = 0.00012 \n" ); document.write( "--- \n" ); document.write( "A(t) = Ao(1-0.00012)^t \n" ); document.write( "---- \n" ); document.write( "0.98*Ao = Ao(0.999880)^t \n" ); document.write( "----- \n" ); document.write( "0.999880^t = 0.98 \n" ); document.write( "---- \n" ); document.write( "Take the log to get: \n" ); document.write( "t*log0.999880 = log0.98 \n" ); document.write( "------ \n" ); document.write( "t = [log0.98]/[log0.999880] \n" ); document.write( "t = 168.35 years \n" ); document.write( "Round up to He died 168.35 years ago. \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |