document.write( "Question 706791: suppose 20,000 is invested at 5 % . How much additional money must be invested at 4 % to produce a yield of 4.8 % on the entire amount invested? \n" ); document.write( "
Algebra.Com's Answer #435406 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! 20,000 is invested at 5 %, so in one year, you will earn 20000*0.05 = 1000 dollars in interest\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1000 dollars is 5% of the total amount invested, but we want a 4.8% yield.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Investing an additional x dollars at 4% yields 0.04x dollars after one year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You have invested 20000 + x dollars total\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You earn 1000 + 0.04x dollars in interest alone.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The ratio of interest earned to amount invested is: (1000 + 0.04x)/(20000 + x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This ratio must be equal to 0.048 (the decimal equivalent of 4.8%) since this is your requirement\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So we can say\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(1000 + 0.04x)/(20000 + x) = 0.048\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'll let you solve for x. \n" ); document.write( " |