document.write( "Question 1138411: A total of $5500 was deposited into two simple interest accounts.
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document.write( "On one account the annual simple interest rate is 4%, and on the second account the annual simple interest rate is 6%.
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document.write( "The amount of interest earned for 1 year was $295.
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document.write( "How much was invested in each account?
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Algebra.Com's Answer #756214 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let x be an amount invested at 4%, in dollars.\r\n" ); document.write( "\r\n" ); document.write( "Then the amount invested at 6% is the rest (5500-x) dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Your basic equation is THIS:\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( " 0.04*x + 0.06*(5500-x) = 295.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 0.04x + 0.06*5500 - 0.06x = 295\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " -0.02x = 295 - 0.06*5500 = -35 ====> x =\r \n" ); document.write( "\n" ); document.write( "-----------------\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( " |