document.write( "Question 1142098: an investor invested a total of $1,800 in two mutual funds. One fund earned a 6% profit while the other earned a 3% profit. If the investor's profit was $69, how much was invested in each mutual fund? \n" ); document.write( "
Algebra.Com's Answer #762759 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x = amount at 6%, in dollars.\r\n" ); document.write( "\r\n" ); document.write( "Then the amount at 3% is the rest (1800-x) dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The interest from the 6% amount is 0.06*x dollars.\r\n" ); document.write( "\r\n" ); document.write( "The interest from the 3% amount is 0.03*(1800-x) dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Your equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " interest + interest = total interest, or\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.06*x + 0.03*(1800-x) = 69 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the equation, express x and calculate the answer\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a typical and standard problem on investment.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar solved problems on investment, 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( " |