document.write( "Question 1137264: Things did not go quite as planned. You invested $21,020, part of it in a stock that paid 12% annual interest. However, the rest of the money suffered a 5% loss. If the total annual income from both investments was $2026, how much was invested at each rate? \n" ); document.write( "

Algebra.Com's Answer #755119 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "Let x = amount invested at 12%, in dollars.\r\n" );
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document.write( "Then the second amount, which suffered  the 5% loss,  is the rest (21020-x) dollars.\r\n" );
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document.write( "The interest from the 12% interest amount is 0.12*x  dollars.\r\n" );
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document.write( "The 5% loss from the second   amount is 0.05*(21020-x)   dollars.\r\n" );
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document.write( "Your equation is\r\n" );
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document.write( "    interest - loss           = final interest,   or\r\n" );
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document.write( "    0.12*x   - 0.05*(21020-x) = 2026   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 =  = 18100.\r\n" );
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document.write( "Answer.  The amount at 12% is $18100;  the rest  $21020-$18100 = $2920 is the amount suffered 5% loss.\r\n" );
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document.write( "Check.   0.12*18100 - 0.05*2920 = 2026 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
\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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