document.write( "Question 135307: A rodent population has moved into a new commercial development area in the city.The population initially had 16 animals and displayed an EXPONENTIAL rate of growth.After 486 weeks, the population numbered 8192 rodents. What is the doubling time of this rodent population? GROSS :) \n" ); document.write( "

Algebra.Com's Answer #99130 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given exponential growth. $\"N+=+N%5B0%5De%5E%28kt%29\"$
\n" ); document.write( " $\"8192+=+16e%5E%28k486%29\"$
\n" ); document.write( " $\"512+=+e%5E486k\"$
\n" ); document.write( " $\"ln%28512%29+=+486k\"$
\n" ); document.write( " $\"6.238+=+486k\"$
\n" ); document.write( " $\"0.0128+=+k\"$ \r
\n" ); document.write( "\n" ); document.write( "So use k to double.
\n" ); document.write( " $\"32+=+16e%5E%280.0128t%29\"$
\n" ); document.write( " $\"2+=+e%5E%280.0128t%29\"$
\n" ); document.write( " $\"ln%282%29+=+0.0128t\"$
\n" ); document.write( " $\"0.693+=+0l28t\"$
\n" ); document.write( "54.15 weeks = t
\n" ); document.write( " \n" ); document.write( "

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