document.write( "Question 1043811: If the population of a town increases every year by 2% ofa total population at the begining of that year, in how many year will the total increase of population be 40%? \n" ); document.write( "
Algebra.Com's Answer #658969 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! original is Po, final is P \n" ); document.write( "P=Po{1+.02}^n, the interest formula. \n" ); document.write( "P/Po=1.40 \n" ); document.write( "1.40={1.02}^n \n" ); document.write( "ln of both sides \n" ); document.write( "ln(1.40)=n{ln (1.02)) \n" ); document.write( "divide by ln 1.02 \n" ); document.write( "ln(1.40)/ln(1.02)=16.99 years \n" ); document.write( "17 years. \n" ); document.write( "1.02^17=1.400 \n" ); document.write( " \n" ); document.write( " |