document.write( "Question 1113470: a total of $15,000 was invested in two savings accounts. one account pays 4% annual simple intrest and the other 6% annual simple intrest. if the total intrest earned after 1 year was $760, how much was invested at each rate? \n" ); document.write( "

Algebra.Com's Answer #728571 by ikleyn(52780) $\"\"$ $\"About$

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document.write( "Let x = the amount invested at 4%.\r\n" );
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document.write( "Then the amount invested at 6% was (15000-x).\r\n" );
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document.write( "Your equation is THIS\r\n" );
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document.write( "interest + interest       = total interest\r\n" );
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document.write( "0.04x    + 0.06*(15000-x) = 760\r\n" );
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document.write( "0.04x + 0.06*15000 - 0.06x = 760\r\n" );
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document.write( "-0.02x = 760 - 0.06*15000 = -140  ====>  x =  = 7000.\r\n" );
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document.write( "Answer.  $7000 was invested at 4%;   the rest  $15000 - $7000 = $8000 was invested at 6%.\r\n" );
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document.write( "Check.   7000*0.04 + 8000*0.06 = 760.  ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "It is a typical and standard problem on investment.\r
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\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
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\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
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\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
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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