document.write( "Question 880711: The height of a tree in feet of a certain kind of tree is approximated by:\r
\n" ); document.write( "\n" ); document.write( "H(T) = 100 DIVIDED BY 1 + 150 exponential to the power of negative 0.32t\r
\n" ); document.write( "\n" ); document.write( "where t is the age of the tree in years. Estimate the age of a 50 ft tree. \n" ); document.write( "

Algebra.Com's Answer #531696 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"H%28t%29=100%2F%281%2B150e%5E%28-0.32t%29%29\"$
\n" ); document.write( " $\"100%2F%281%2B150e%5E%28-0.32t%29%29=50\"$
\n" ); document.write( " $\"1%2F%281%2B150e%5E%28-0.32t%29%29=1%2F2\"$
\n" ); document.write( " $\"1%2B150e%5E%28-0.32t%29=2\"$
\n" ); document.write( " $\"150e%5E%28-0.32t%29=1\"$
\n" ); document.write( " $\"e%5E%28-0.32t%29=1%2F150\"$
\n" ); document.write( " $\"-0.32t=ln%281%2F150%29\"$
\n" ); document.write( " $\"t=-ln%281%2F150%29%2F0.32\"$
\n" ); document.write( "or approximately,
\n" ); document.write( " $\"t=15.66\"$
\n" ); document.write( "Almost 16 years old.
\n" ); document.write( " \n" ); document.write( "

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