document.write( "Question 558774: Lillian is about to invest $20,000, part at 3% and the rest at 4%. What is the most that she can invest at 3% and still be guaranteed atleast $650 in interest per year? Thank you! \n" ); document.write( "
Algebra.Com's Answer #363179 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x + y 20000 ------------------------1 \n" ); document.write( "3.00% x + 4.00% y = $650.00 \n" ); document.write( "Multiply by 100 \n" ); document.write( "3 x + 4 y = $65,000.00 --------2 \n" ); document.write( " \n" ); document.write( "Multiply (1) by -3 \n" ); document.write( "we get \n" ); document.write( " \n" ); document.write( "-3 x -3 y = -60000.00 \n" ); document.write( " \n" ); document.write( "Add this to (2) \n" ); document.write( " \n" ); document.write( " y = $5,000.00 \n" ); document.write( " \n" ); document.write( " investment at 4.00% \n" ); document.write( "Balance $15,000.00 investment at 3.00% \n" ); document.write( "CHECK \n" ); document.write( "$15,000.00 $450.00 \n" ); document.write( "$5,000.00 $200.00 \n" ); document.write( "Total $650.00 \n" ); document.write( " \n" ); document.write( " |