document.write( "Question 1123101: A worker received a $10,000 bonus and decided to split it among three different accounts. He placed part in a savings account paying 4.5% per year, twice as much in government bonds paying 5%, and the rest in a mutual fund that returned 4%. His income from these investments after one year was $455. How much did the worker place in each account? Solve by showing an input matrix and solution matrix.
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document.write( "*I know how to put the matrix into the calculator, but I do not know what the numbers are that go in the matrix for this word problem. \n" );
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Algebra.Com's Answer #739336 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let x = how much he invested at 4.5%.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then his investment in bonds is 2x dollars, and the rest is 10000-x -2x = (10000-3x) dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Finally, the interest equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.045*x + 0.05*(2x) + 0.04*(10000-3x) = 455.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve for x.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then evaluate (2x) and (10000-3x) as other investments.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That is all.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is how this problem MUST be solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Matrices are IRRELEVANT in this case.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem is to solve it using one single unknown and one single equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you want to see other similar solved problems, look into the lessons\r \n" ); document.write( "\n" ); document.write( " - More complicated word problems to solve using a single linear equation \r \n" ); document.write( "\n" ); document.write( " - Advanced word problems to solve using a single linear equation\r \n" ); document.write( "\n" ); document.write( " - HOW TO algebreze and solve these problems using one equation in one unknown \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |