document.write( "Question 1145873: Ms. Burke invested 29,000 in two accounts, one yielding 8% interest and the other yielding 10%. If she received a total of $2,600 in interest at the end of the year, how much did she invest in each account? \n" ); document.write( "

Algebra.Com's Answer #767144 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let x be the amount invested at 10%;\r\n" );
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document.write( "then the amount invested at 8% is (29000-x)  dollars\r\n" );
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document.write( "The total interest is the sum of partial interests, which gives you an equation\r\n" );
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document.write( "    0.10*x + 0.08*(29000-x) = 2600  dollars.\r\n" );
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document.write( "From the equation, express x and calculate\r\n" );
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document.write( "    x =  = 14000.\r\n" );
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document.write( "ANSWER.  $14000 were invested at 10% and the rest, (29000-14000) = 15000 dolars were invested at 8%.\r\n" );
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document.write( "CHECK.  0.10*14000 + 0.08*15000 = 2600  dollars.   ! 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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\n" ); document.write( "\n" ); document.write( "Is everything clear to you in my solution ?\r
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\n" ); document.write( "\n" ); document.write( "If not, let me know by posting through the \"Thank you\" window (which is for students' comments).\r
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\n" ); document.write( "\n" ); document.write( "In this case, please refer to the problem's ID number, which is 1145873.\r
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\n" ); document.write( "\n" ); document.write( "If you do not refer to this number, I will not know to whom to answer.\r
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