document.write( "Question 208100: Good afternoon! I am trying to solve this problem.
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document.write( "4000=2,000*e^(0.08)*t
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document.write( "4,000/2,000=e^0.08t
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document.write( "2=e^0.05t
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document.write( "ln2=0.08*t\r
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document.write( "I got this far and got stuck. \n" );
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Algebra.Com's Answer #157435 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! 4000 = 2,000*e^(0.08)*t \n" ); document.write( "4,000/2,000 = e^0.08t \n" ); document.write( "2 = e^0.05t \n" ); document.write( ": \n" ); document.write( "Find the natural log of both sides \n" ); document.write( "ln(2) = ln(e^(.08*t)) \n" ); document.write( ": \n" ); document.write( "use the log equiv of exponents \n" ); document.write( "ln(2) = .08t*ln(e) \n" ); document.write( ": \n" ); document.write( "The nat log of e is one, so we just have \n" ); document.write( ".693 = .08t \n" ); document.write( "t = \n" ); document.write( "t = 8.66 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution on a calc: enter 2000*e^(.08*8.66) = 3993 ~ 4000 \n" ); document.write( " |