document.write( "Question 1171861: jane invests part of her $4000 savings into a savings account at 2.5% and part into a GIC at 4% simple interest. If she earns 148.00$ in interest from her two investments, calculate how much she invested at each rate. \n" ); document.write( "

Algebra.Com's Answer #796776 by ikleyn(52792) $\"\"$ $\"About$

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document.write( "Let x be the amount invested at 4% (in dollars).\r\n" );
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document.write( "Then the rest (4000-x) dollars are invested at 2.5%.\r\n" );
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document.write( "Then you write the total annual simple interest equation\r\n" );
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document.write( "    0.04*x + 0.025*(4000-x) = 148   dollars.\r\n" );
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document.write( "From the equation\r\n" );
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document.write( "    x =  = 3200 dollars.\r\n" );
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document.write( "Answer.  $3200 invested at 4% and the rest  (4000-3200) = 800 dollars are invested at 2.5%.\r\n" );
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document.write( "CHECK.  0.04*3200 + 0.025*800 = 148 dollars, total annual interest.   ! Precisely 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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