document.write( "Question 1159372: Solve the following word problem using matrices:\r
\n" );
document.write( "\n" );
document.write( "Part of $30,000 is invested at 6% yearly interest, another part at 7%, and the remainder at 8% yearly interest. The total yearly interest income from the three investments adds up to $2200. The sum of the amounts invested at 6% and 7% equals the amount of money invested at 8%. How much is invested at each rate? \n" );
document.write( "
Algebra.Com's Answer #782475 by MowMow(42)![]() ![]() You can put this solution on YOUR website! Using matrices to solve this problem: \n" ); document.write( "The 3x4 matrix is: \n" ); document.write( "x y z Amount \n" ); document.write( "1 1 1 30000 \n" ); document.write( ".06 .07 .08 2200 \n" ); document.write( "1 1 -1 0 \n" ); document.write( " \n" ); document.write( "The answer is \n" ); document.write( "x = $ 5,000 \n" ); document.write( "y = $10,000 \n" ); document.write( "z = $15,000 \n" ); document.write( " |