document.write( "Question 483774: A total of $10,000 is invested in two funds paying 5% and 7% annual interest. The combined annual interest is $630. How much of the $10,000 is invested in each fund? \n" ); document.write( "
Algebra.Com's Answer #331065 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Investment I 5.00% per annum \n" ); document.write( "Investment II 7.00% per annum \n" ); document.write( " \n" ); document.write( "x + y 10000 ------------------------1 \n" ); document.write( "5.00% x + 7.00% y = $630.00 \n" ); document.write( "Multiply by 100 \n" ); document.write( "5 x + 7 y = $63,000.00 --------2 \n" ); document.write( " \n" ); document.write( "Multiply (1) by -5 \n" ); document.write( "we get \n" ); document.write( " \n" ); document.write( "-5 x -5 y = -50000.00 \n" ); document.write( " \n" ); document.write( "Add this to (2) \n" ); document.write( " \n" ); document.write( "0 x +2 y = $13,000.00 \n" ); document.write( " \n" ); document.write( "divide by 2 \n" ); document.write( " \n" ); document.write( "y =$6,500.00 investment at 7.00% \n" ); document.write( "Balance $3,500.00 investment at 5.00% \n" ); document.write( "CHECK \n" ); document.write( "$3,500.00 $175.00 \n" ); document.write( "$6,500.00 $455.00 \n" ); document.write( "Total $630.00 \n" ); document.write( " \n" ); document.write( " |