document.write( "Question 1002921: use the formula N=Ie^kt where n is the number of organisms in terms of initial population 'I' at t and k is the growth constant equal to the percent of growth per unit of time . How long will it take for the population of a certain country to double, is its annua growth rate is 8.3%. Round to the nearest year. t=_________. \n" ); document.write( "
Algebra.Com's Answer #619771 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "N = I e^kt \n" ); document.write( "k = 8.3% = 0.083 \n" ); document.write( "Make N = 2 \n" ); document.write( "I = 1 \n" ); document.write( "2 = I e^0.083t \n" ); document.write( "2/1 = e^0.083t \n" ); document.write( "2 = e^0.083t \n" ); document.write( "ln2 = 0.083t lne (lne = 1) \n" ); document.write( "t = ln2/0.083 \n" ); document.write( "t = 8.35 years \n" ); document.write( "t = 8 years. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |