document.write( "Question 1139184: Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 11 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 8993 dollars. How much did she invest at each rate?
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Algebra.Com's Answer #756974 by ikleyn(52800) $\"\"$ $\"About$

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document.write( "Let x = amount at 11%, in dollars.\r\n" );
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document.write( "Then the amount at 6% is 2x dollars.\r\n" );
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document.write( "The interest from the 11% amount is 0.11*x  dollars.\r\n" );
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document.write( "The interest from the 6%   amount is 0.06*(2x) = 0.12x   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( "    0.11*x   + 0.12*x        = 8993   dollars.\r\n" );
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document.write( "From the equation, express x and calculate the answer\r\n" );
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document.write( "    x =  = 39100.\r\n" );
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document.write( "Answer.  The amount at 11% is $39100;  the amount at 6%  is  twice of it, i.e. 2*39100 = 78200 dollars. \r\n" );
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document.write( "Check.   0.06*78200 + 0.11*39100 = 8993 dollars.   ! Correct !\r\n" );
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\n" ); document.write( "\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
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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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