document.write( "Question 1123784: an actor invests some money at 7%, and $35000 more than three times the amount at 19%. the total annual interest earned from the investment is $34090. how much did he invest at each amount? \n" ); document.write( "

Algebra.Com's Answer #740202 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let x = the amount invested at 7%.\r\n" );
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document.write( "Then the amount invested at 19% is (3x+35000) dollars.\r\n" );
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document.write( "Your equation is \r\n" );
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document.write( "    interest + interest = total interest,   or\r\n" );
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document.write( "    0.07x    + 0.19*(3x + 35000) = 34090.\r\n" );
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document.write( "Simplify and solve for x.\r\n" );
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document.write( "    (0.07 + 0.19*3)x = 34090 - 0.19*35000\r\n" );
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document.write( "    x =  = 42875.\r\n" );
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document.write( "Answer.  $42875 was invested at 7%  and  3*42875+35000 = 163625 dollars was invested at 19%.\r\n" );
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document.write( "Check.  0.07*42875 + 0.19*163625 = 34090 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( "\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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