document.write( "Question 248124: I invested part of my 10,000 bonus in a cd that paid 6% interest and the rest in a fund that paid 11% interest. The total interest was 900, how much did invest in the fund? \n" ); document.write( "
Algebra.Com's Answer #180864 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! I invested part of my 10,000 bonus in a cd that paid 6% interest and the rest in a fund that paid 11% interest. The total interest was 900, how much did invest in the fund? \n" ); document.write( "Use: x+y=c \n" ); document.write( "So, x+y=10,000 \n" ); document.write( "y=10,000-x \n" ); document.write( "and \n" ); document.write( "Use: ax+by=total \n" ); document.write( "So, .06x+.11y=900 \n" ); document.write( ".06x+.11(10,000-x)=900[substitute y=10,000-x) \n" ); document.write( ".06x+1100-.11x=900 \n" ); document.write( ".06x-.11x=900-1100 \n" ); document.write( "-.05x=-200 \n" ); document.write( "-0.5x/.05=-200/-.05 \n" ); document.write( "x=4,000 \n" ); document.write( "Substituting: 4,000+y=10,000 \n" ); document.write( "y=6,000 \n" ); document.write( "answers: I invested $4,000 at 6% and invested $6,000 at 11% \n" ); document.write( " \n" ); document.write( " |