document.write( "Question 1184522: Tim Bell invests some money at 5% and $1500 more than this amount at 8%. The total annual income from the investments is $536. Find the amount invested at 5%. \n" ); document.write( "

Algebra.Com's Answer #815138 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "Tim Bell invests some money at 5% and $1500 more than this amount at 8%.
\n" ); document.write( "The total annual income from the investments is $536. Find the amount invested at 5%.
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document.write( "    0.05x + 0.08*(x+1500) = 536\r\n" );
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document.write( "    0.05x + 0.08x + 0.08*1500 = 536\r\n" );
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document.write( "    0.05x + 0.08x = 536 - 0.08*1500\r\n" );
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document.write( "         0.13x    = 416\r\n" );
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document.write( "             x    =  = 3200.\r\n" );
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document.write( "ANSWER.  The amount invested at 5% was $3200.\r\n" );
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document.write( "CHECK.   0.05*3200 + 0.08*(3200+1500) = 536  dollars, total annual interest.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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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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