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)\"\" \"About 
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( "
\n" );