document.write( "Question 716511: Consider a $100 investment earning 12% compounded quarterly. How long will it take to triple your money? Round your answer to the nearest tenth of a year. \n" ); document.write( "
Algebra.Com's Answer #439885 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! Basic equation is \n" ); document.write( "(1) B = P*(1 + 0.12/4)^(4*t) \n" ); document.write( "Since you want to triple P = $100, you want \n" ); document.write( "(2) (1.03)^(4*t) = 3 \n" ); document.write( "Take the ln of each side and get \n" ); document.write( "(3) (4*t)*(ln(1.03) = ln(3) or \n" ); document.write( "(4) 4*t = ln(3)/ln(1.03) or \n" ); document.write( "(5) 4*t = 37.16701 or \n" ); document.write( "(6) t = 9.29175 \n" ); document.write( "Answer: It will take 9.3 years to triple your investment. \n" ); document.write( " |