document.write( "Question 1172615: You have $30,000 to invest in two stock funds. The first fund pays 5% annual interest and the second pays 8% annual interest. If after a year you have made $2,100 interest. How much money did you invest in each account?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #797702 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "You may start from these two equations\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x + y = 30000 (1) (total money)\r\n" ); document.write( "\r\n" ); document.write( " 0.05x + 0.08y = 2100 (2) (total interest)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You then reduce it to one single equation \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.05x + 0.08*(30000-x) = 2100.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "I leave it to you to complete the solution from this point.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a standard and typical problem on investments.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you need more details, or if you want to see other similar problems solved by different methods, look into the lesson \r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on investment\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You will find there different approaches (using one equation or a system of two equations in two unknowns), as well as \n" ); document.write( "different methods of solution to the equations (Substitution, Elimination).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |