document.write( "Question 1199889: An investment adviser invested $14,000 in two accounts. One investment earned 5% annual simple interest, and the other investment earned 2.5% annual simple interest. The amount of interest earned for 1 year was $535. How much was invested in each account? \n" ); document.write( "

Algebra.Com's Answer #833877 by ikleyn(52778) $\"\"$ $\"About$

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\n" ); document.write( "An investment adviser invested $14,000 in two accounts.
\n" ); document.write( "One investment earned 5% annual simple interest,
\n" ); document.write( "and the other investment earned 2.5% annual simple interest.
\n" ); document.write( "The amount of interest earned for 1 year was $535.
\n" ); document.write( "How much was invested in each account?
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document.write( "Let x be amount invested at 5% annually.\r\n" );
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document.write( "Then the amount invested at 2.5% is the rest (14000-x) dollars.\r\n" );
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document.write( "5% investment generates the annual interest of 0.05x dollars.\r\n" );
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document.write( "2.5% investment generates the annual interest of 0.025*(14000-x).\r\n" );
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document.write( "The totall annual interest equation is\r\n" );
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document.write( "    0.05x + 0.025*(14000-x) = 535  dollars.\r\n" );
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document.write( "Simplify this equation and find x\r\n" );
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document.write( "    0.05x + 0.025*14000 - 0.025x = 535,\r\n" );
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document.write( "    0.05x - 0.025x = 535 - 0.025*14000\r\n" );
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document.write( "        0.025x     =     185\r\n" );
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document.write( "             x     =     185/0.025 = 7400.\r\n" );
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document.write( "Thus $7400 invested at 5%  and the rest,  $14000 - $7400 = $6600  invested at 0.025%.    ANSWER\r\n" );
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document.write( "CHECK.  0.05*7400 + 0.025*6600 = 535 dollars, the total annual interest.   ! correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Typical investment problems\r
\n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on investment\r
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