document.write( "Question 1059989: To double my money, if $600 is invested at 8% compounded monthly by choosing the appropriate formula and solving it for t? What is the formula? \n" ); document.write( "
Algebra.Com's Answer #675035 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! To double my money, if $600 is invested at 8% compounded monthly by choosing the appropriate formula and solving it for t? What is the formula? \n" ); document.write( "------- \n" ); document.write( "Standard compounding formula:: A(t) = P(1+(r/n))^(n*t) \n" ); document.write( "--------- \n" ); document.write( "Doubling your investment gives:: 2*P = P(1+(r/n)^(n*t) \n" ); document.write( "------- \n" ); document.write( "Your Problem:: \n" ); document.write( "2*600 = 600(1+(0.08/12))^(12*t) \n" ); document.write( "------- \n" ); document.write( "(1.0067)^(12t) = 2 \n" ); document.write( "-------- \n" ); document.write( "12t*log(1.0067) = log(2) \n" ); document.write( "------ \n" ); document.write( "12t = log(2)/log(1.0067) = 103.8 \n" ); document.write( "---- \n" ); document.write( "time = 103.8/12 = 8.65 years = 8yrs 8 months\r \n" ); document.write( "\n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------- \n" ); document.write( " |