document.write( "Question 691324: What annual rate of interest compounded yearly is required to double an investment in 4 years? \n" ); document.write( "
Algebra.Com's Answer #426638 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What annual rate of interest compounded yearly is required to double an investment in 4 years? \n" ); document.write( "------ \n" ); document.write( "A(t) = P(1+(r/n))^(nt) \n" ); document.write( "--- \n" ); document.write( "Your problem requires that (1+(r/n))^(nt) = 2 \n" ); document.write( "------ \n" ); document.write( "(1 + (r/1))^(1*4) = 2 \n" ); document.write( "--- \n" ); document.write( "(1+r)^4 = 2 \n" ); document.write( "--- \n" ); document.write( "4*log(1+r) = log(2) \n" ); document.write( "log(1+r) = (1/4)*0.3010 \n" ); document.write( "--- \n" ); document.write( "log(1+r) = 0.0753 \n" ); document.write( "--- \n" ); document.write( "1+r = 10^0.0753 \n" ); document.write( "1+r = 1.1892.. \n" ); document.write( "rate = 0.1892.. = 18.92% \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |