document.write( "Question 1164398: An actor invested some money at 5% simple interest, and $45,000 more than twice the amount at 6% . The total annual interest earned from the investment was $14090.how much did invest at each amount? \n" ); document.write( "
Algebra.Com's Answer #788796 by ikleyn(52781)\"\" \"About 
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document.write( "Let x be the 5% investment.\r\n" );
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document.write( "Then the 6% investment is (2x+45000) dollars.\r\n" );
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document.write( "The total interest equation is then\r\n" );
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document.write( "    0.05x + 0.06*(2x+45000) = 14090  dollars.\r\n" );
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document.write( "From the equation\r\n" );
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document.write( "    x = \"%2814090-0.06%2A45000%29%2F%280.05+%2B+2%2A0.06%29\" = 67000.\r\n" );
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document.write( "ANSWER.  $67000  invested at 5%  and  2*67000 + 45000 = 179000 dollars invested at 6%.\r\n" );
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document.write( "CHECK.  0.05*67000 + 0.06*179000 = 14090 dollars.    ! 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( "Save the link to this online textbook together with its description\r
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\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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