document.write( "Question 1031097: $3250 is invested at 5.5% compounded continuously. How long will it take for the balance to reach $6500? Please round your answer to two decimal places, if necessary. \n" ); document.write( "
Algebra.Com's Answer #645810 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "I assume the sum is annually \n" ); document.write( "compounded. \n" ); document.write( "100% + 5.5% = 105.5% \n" ); document.write( "105.5% = 105.5/100 = 1.055 (factor) \n" ); document.write( "3250 x 1.055^x = 6500 \n" ); document.write( "1.055^x = 6500/3250 \n" ); document.write( "1.055^x = 2 \n" ); document.write( "x log(1.055) = log(3250) \n" ); document.write( "x = log(3250)/log(1.055) \n" ); document.write( "x = 46.56 years \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |