document.write( "Question 1006251: The percent l(x)of the original intensity of light striking the surface of a lake that is available x feet below the surface of the lake is given by the equation
\n" ); document.write( "l(x) = 100e^−0.95x.\r
\n" ); document.write( "\n" ); document.write( "(a) What percentage of the light, to the nearest tenth of a percent, is available 4 feet below the surface of the lake?
\n" ); document.write( "
\n" ); document.write( " % \r
\n" ); document.write( "\n" ); document.write( "(b) At what depth, to the nearest hundredth of a foot, is the intensity of the light one-half the intensity at the surface?
\n" ); document.write( "
\n" ); document.write( " ft
\n" ); document.write( "

Algebra.Com's Answer #622405 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
L(x)=100e^(-3.8) at 4 feet.
\n" ); document.write( "This is 2.2%
\n" ); document.write( "I want 50% or 50=100e^(-0.95x)
\n" ); document.write( "0.5=e^(-0.95x)
\n" ); document.write( "ln of both sides
\n" ); document.write( "-0.693=-0.95 x
\n" ); document.write( "At 0.73 feet, dividing both sides by -0.95.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );