document.write( "Question 534458: An amount is invested in an account that offers 5% (percent) interest which is compounded annually. How long will it take for this amount to double? \n" ); document.write( "
Algebra.Com's Answer #351560 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Assume principal = 100 \n" ); document.write( "Amount = 200\r \n" ); document.write( "\n" ); document.write( "Principal P = 100 \n" ); document.write( "Amount= 200 \n" ); document.write( "years=n \n" ); document.write( "compounded (t) 1 \n" ); document.write( "Rate = 5 0.05 \n" ); document.write( "Amount = P*((n+r)/n)^n \n" ); document.write( " \n" ); document.write( "200 = 100 *( 1 + 0.05 )^ n*t \n" ); document.write( "2 = *( 1 + 0.05 )^ n* 1 \n" ); document.write( "ln 2 = 1 n *ln 1.05 \n" ); document.write( " 0.69 = 1 0.05 *n \n" ); document.write( " 14.21 = n\r \n" ); document.write( "\n" ); document.write( "14.21 years\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |