document.write( "Question 1112898: Jerry invested $10,000, part at 8% simple interest and the rest at 5% simple interest for a period of 1 year. If he received a total annual interest of $575 from both investments, how much did he invest at each rate? \n" ); document.write( "

Algebra.Com's Answer #727910 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "Let x = an amount invested at 8%.\r\n" );
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document.write( "Then the amount invested at 5% is the rest (10000-x) dollars.\r\n" );
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document.write( "Your equation is\r\n" );
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document.write( "0.08*x + 0.05*(10000-x) = 575.\r\n" );
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document.write( "0.08x + 500 - 0.05x = 575\r\n" );
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document.write( "0.03x = 575 - 500 = 75  ====>  x =  =  = 2500.\r\n" );
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document.write( "Answer.  $2500 invested at 8%; the rest $7500 invested at 5%.\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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