document.write( "Question 1139087: A skull cleaning factory cleans animal skulls of deer, buffalo and other types of animals using flesh-eating beetles. The factory owner started with only 8 adult beetles. After 43 days, the beetle population grew to 24 adult beetles. How long did it take before the beetle population was 8000 beetles?
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Algebra.Com's Answer #756880 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A skull cleaning factory cleans animal skulls of deer, buffalo and other types of animals using flesh-eating beetles.
\n" ); document.write( " The factory owner started with only 8 adult beetles.
\n" ); document.write( " After 43 days, the beetle population grew to 24 adult beetles.
\n" ); document.write( " How long did it take before the beetle population was 8000 beetles?
\n" ); document.write( ":
\n" ); document.write( "The exponential equation: $\"A+=+Ao%2Ae%5E%28%28kt%29%29\"$
\n" ); document.write( "find k, when t=43
\n" ); document.write( " $\"8%2Ae%5E%28%2843k%29%29+=+24\"$
\n" ); document.write( " $\"e%5E%28%2843k%29%29+=+3\"$
\n" ); document.write( "43k = ln(3)
\n" ); document.write( "43k = 1.0986
\n" ); document.write( "k = $\"1.0986%2F43\"$
\n" ); document.write( "k = .02555
\n" ); document.write( ":
\n" ); document.write( "let t = time for 8000 of these creatures
\n" ); document.write( " $\"8%2Ae%5E%28%28.02555t%29%29+=+8000\"$
\n" ); document.write( " $\"e%5E%28%28.02555t%29%29+=+1000\"$
\n" ); document.write( "t = $\"ln%281000%29%2F.02555\"$
\n" ); document.write( "t = 270.36 days \n" ); document.write( "

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