document.write( "Question 565911: Kyle inherits $40,000 and invests part of the money in bonds with an interest rate of 11 percent. The remainder of the money is in savings at a 9 percent rate. What amount has he invested at each rate if he receives $4,080 in interest for one year?
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Algebra.Com's Answer #366016 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Bonds 11.00% per annum ----x \n" ); document.write( "Savings 6.00% per annum ----y \n" ); document.write( "The sum of the investments is $40,000.00 \n" ); document.write( "The sum of individual interests = $4,080.00 \n" ); document.write( "x + y 40000 ------------------------1 \n" ); document.write( "11.00% x + 6.00% y = $4,080.00 \n" ); document.write( "Multiply by 100 \n" ); document.write( "11 x + 6 y = $408,000.00 --------2 \n" ); document.write( " \n" ); document.write( "Multiply (1) by -11 \n" ); document.write( "we get \n" ); document.write( " \n" ); document.write( "-11 x -11 y = -440000.00 \n" ); document.write( " \n" ); document.write( "Add this to (2) \n" ); document.write( " \n" ); document.write( "0 x -5 y = -$32,000.00 \n" ); document.write( " \n" ); document.write( "divide by -5 \n" ); document.write( " \n" ); document.write( "y = $6,400.00 investment at 6.00% \n" ); document.write( "Balance $33,600.00 investment at 11.00% \n" ); document.write( "CHECK \n" ); document.write( "$33,600.00 @ 11.00% $3,696.00 \n" ); document.write( "$6,400.00 @ 6.00% $384.00 \n" ); document.write( "Total --------------- $4,080.00 \n" ); document.write( " \n" ); document.write( " |