document.write( "Question 62855This question is from textbook college algebra
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document.write( ": This is a carbon decay question that I haven't encounted yet. Can anyone give me a hand here? Thanks!\r
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document.write( "Question: Only 25% of the carbon-14 in a wooden bowl remains. How old is the bowl?\r
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document.write( "Thanks for your help! \n" );
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Algebra.Com's Answer #43672 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! This is a carbon decay question that I haven't encounted yet. Can anyone give me a hand here? Thanks! \n" ); document.write( ": \n" ); document.write( "Question: Only 25% of the carbon-14 in a wooden bowl remains. How old is the bowl? \n" ); document.write( ": \n" ); document.write( "The Half-life formula: A = Ao*.5^(t/h) \n" ); document.write( "Where: \n" ); document.write( "A = resulting amt; 25% here \n" ); document.write( "Ao= Initial amt; 1 here \n" ); document.write( "t = time (in years here) \n" ); document.write( "h = half life, (carbon 14 half-life given as 5730 yrs) \n" ); document.write( ": \n" ); document.write( ".25 = 1 * .5^(t/5730) \n" ); document.write( ": \n" ); document.write( "Use the log equiv of exponent: \n" ); document.write( "ln(.25) = (t/5730) * ln(.5) \n" ); document.write( "-1.38629 = (t/5730) * -.693147 \n" ); document.write( "-1.38629 = -.693147t/5730 \n" ); document.write( ": \n" ); document.write( "Get rid of denominator, mult equation by 5730 \n" ); document.write( "-1.3829*5730 = -.693147t \n" ); document.write( "-7943.466689 = -.693147t \n" ); document.write( "t = -7943.466689/-.693147 \n" ); document.write( "t = 11,460 yrs \n" ); document.write( ": \n" ); document.write( "Check: \n" ); document.write( "A = 1*.5^(11460/5740); using a good calc \n" ); document.write( "A = .25 \n" ); document.write( " \n" ); document.write( " |