document.write( "Question 829965: Manny has his money in a savings account earning 3% interest. How long will it take his money to double? \n" ); document.write( "
Algebra.Com's Answer #500265 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! assume we are starting with $100\r \n" ); document.write( "\n" ); document.write( "(100)*(1+3%)^n = 200 \n" ); document.write( "(100)*(1.03)^n = 200 \n" ); document.write( "divide each side by 100 \n" ); document.write( "(1.03)^n = 2 \n" ); document.write( "take log of each side \n" ); document.write( "log((1.03)^n)=log(2) \n" ); document.write( "nlog(1.03)=log(2) \n" ); document.write( "divide each side by log(1.03) \n" ); document.write( "n = log(2)/log(1.03) = 23.449 years \n" ); document.write( " |