document.write( "Question 617985: Solve the problem.\r
\n" ); document.write( "\n" ); document.write( "The half-life of silicon-32 is 710 years. If 100 grams is present now, how much will be present in 600 years? (Round your answer to three decimal places.) \n" ); document.write( "
Algebra.Com's Answer #388668 by nerdybill(7384)\"\" \"About 
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The half-life of silicon-32 is 710 years. If 100 grams is present now, how much will be present in 600 years? (Round your answer to three decimal places.)
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\n" ); document.write( "general equation of exponential decay/growth:
\n" ); document.write( "N = Noe^(kt)
\n" ); document.write( "50 = 100e^(710k)
\n" ); document.write( ".5 = e^(710k)
\n" ); document.write( "ln(.5) = 710k
\n" ); document.write( "ln(.5)/710 = k
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\n" ); document.write( "Therefore, our equation is now:
\n" ); document.write( "N = 100e^((ln(.5)/710)t)
\n" ); document.write( "Now,we substitute t with 600:
\n" ); document.write( "N = 100e^((ln(.5)/710)600)
\n" ); document.write( "N = 100e^(-.585758)
\n" ); document.write( "N = 100(.556684)
\n" ); document.write( "N = 55.668 grams\r
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