document.write( "Question 1204921: $3250 is invested at 5.0% compounded continuously. How long will it take for the balance to reach $6500? \n" ); document.write( "
Algebra.Com's Answer #841464 by mananth(16946) You can put this solution on YOUR website! A=P*e ^rt\r \n" ); document.write( "\n" ); document.write( "A is the future value = 6500\r \n" ); document.write( "\n" ); document.write( "P is the principal =3250\r \n" ); document.write( "\n" ); document.write( "r the interest rate =5%\r \n" ); document.write( "\n" ); document.write( " time t years = ?\r \n" ); document.write( "\n" ); document.write( "We need to find t \r \n" ); document.write( "\n" ); document.write( "6500= 3250 *e^(0.05*t)\r \n" ); document.write( "\n" ); document.write( "6500/3250 = e^(0.05t)\r \n" ); document.write( "\n" ); document.write( "2=e^(0.05t)\r \n" ); document.write( "\n" ); document.write( "ln 2= 0.05 t\r \n" ); document.write( "\n" ); document.write( "t= ln 2/0.05\r \n" ); document.write( "\n" ); document.write( "you work out and round it off as required\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |