document.write( "Question 720466: The population of rabbits in an area is modeled by the growth equation P(t)=8e^.26t, where P is in the thousands and t is in years. How long will it take for population to reach 25,000? \n" ); document.write( "
Algebra.Com's Answer #441853 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The population of rabbits in an area is modeled by the growth equation P(t)=8e^.26t, where P is in the thousands and t is in years. How long will it take for population to reach 25,000? \n" ); document.write( ". \n" ); document.write( "Set P(t) to 25000 and solve for t: \n" ); document.write( "P(t)=8e^(.26t) \n" ); document.write( "25000 = 8e^(.26t) \n" ); document.write( "25000/8 = e^(.26t) \n" ); document.write( "3125 = e^(.26t) \n" ); document.write( "ln(3125) = .26t \n" ); document.write( "ln(3125)/.26 = t \n" ); document.write( "8.047/.26 = t \n" ); document.write( "30.95 = t \n" ); document.write( "or approximately \n" ); document.write( "31 years = t \n" ); document.write( " \n" ); document.write( " |