document.write( "Question 1153662: 14,600 is invested, part at 5% and the rest at 2%. If the interest earned from the amount invested at 5% exceeds the interest earned from the amount invested at 2% by $479.00, how much is invested at each rate? (Round to two decimal places if necessary.) \n" ); document.write( "

Algebra.Com's Answer #775918 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "Let x be the part invested at  5%.\r\n" );
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document.write( "Then the amount invested at 2% is (14600-x) dollars.\r\n" );
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document.write( "The 5% investment produces the interest of 0.05x dollars.\r\n" );
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document.write( "The 2% investment produces the interest of 0.02*(14600-x) dollars.\r\n" );
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document.write( "The condition says\r\n" );
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document.write( "    0.05x - 0.02(14600-x) = 479.\r\n" );
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document.write( "Express x and calculate\r\n" );
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document.write( "    x =  = 11014.29.\r\n" );
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document.write( "ANSWER.  $11014.29 was invested at 5%.  The rest,  (14600-11014.20) = 3585.71 dollars were invested at 2%.\r\n" );
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document.write( "CHECK.  0.05*11014.29 - 0.02*3585.71 = 479.00  dollars.   ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical problem on investments.\r
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\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
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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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