document.write( "Question 78708: How do u solve this question?\r
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document.write( "A study monitored the life spans of 129 robins over 4 years. The equation was developed to calculate the number of years y for x percent of the robin population to die.
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document.write( "y= 2-log(100-x)/.42\r
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document.write( "How many robins had died after 6 months?
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Algebra.Com's Answer #56453 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A study monitored the life spans of 129 robins over 4 years. The equation was developed to calculate the number of years y for x percent of the robin population to die.\r \n" ); document.write( "\n" ); document.write( "y= 2-log(100-x)/.42 \n" ); document.write( "How many robins had died after 6 months? \n" ); document.write( ": \n" ); document.write( "6 months = .5 years \n" ); document.write( ": \n" ); document.write( "(2 - log(100-x))/.42 = .5 \n" ); document.write( ": \n" ); document.write( "2 - log(100-x) = .5 * .42; multiplied both sides by .42 \n" ); document.write( ": \n" ); document.write( "2 - log(100-x) = .21 \n" ); document.write( ": \n" ); document.write( "- log(100-x) = .21 - 2 \n" ); document.write( ": \n" ); document.write( "- log(100-x) = -1.79 \n" ); document.write( ": \n" ); document.write( "log(100-x) = 1.79; multiplied equation by -1 \n" ); document.write( ": \n" ); document.write( "Find the anti-log (10^x) of both sides: \n" ); document.write( "100 - x = 61.66 \n" ); document.write( ": \n" ); document.write( "-x = 61.66 - 100 \n" ); document.write( ": \n" ); document.write( "-x = -38.34; (*-1) \n" ); document.write( ": \n" ); document.write( "x = +38.34%; Therefore, .3834 * 129 = 49 birdies bit the dust in 6 mos \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: \n" ); document.write( "y = (2-log(100-38.34))/.42 \n" ); document.write( ": \n" ); document.write( "y = (2 - log(61.66))/.42 \n" ); document.write( ": \n" ); document.write( "y = (2 - 1.79)/.42 \n" ); document.write( ": \n" ); document.write( "y = .4999 ~ .5 \n" ); document.write( " |