document.write( "Question 1204756: An investor has $50,000 to invest in three types of bonds: short-term, intermediate-term, and long-term. How much should she invest in each type to satisfy the given conditions?\r
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Algebra.Com's Answer #841222 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "An investor has $50,000 to invest in three types of bonds: short-term, intermediate-term,
\n" ); document.write( "and long-term. How much should she invest in each type to satisfy the given conditions?
\n" ); document.write( "Short-term bonds pay 4% annually, intermediate-term bonds pay 5%, and long-term bonds pay 6%.
\n" ); document.write( "The investor wishes to realize a total annual income of 5.22%, with equal amounts
\n" ); document.write( "invested in short- and intermediate-term bonds.
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document.write( "x dollars invested in short-term  (4% annually);\r\n" );
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document.write( "x dollars invested in intermediate-term  (5% annually);\r\n" );
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document.write( "the rest (50000-2x) dollars invested in long-term  (6% annually).\r\n" );
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document.write( "Now write the total annual interest equation\r\n" );
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document.write( "    0.04x + 0.05x + 0.06(50000-2x) = 0.0522*50000.\r\n" );
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document.write( "Simplify step by step and find x\r\n" );
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document.write( "    0.04x + 0.05x - 0.06*(2x) = 0.0522*50000 - 0.06*50000\r\n" );
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document.write( "    (0.04 + 0.05 -  0.12)x = -390\r\n" );
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document.write( "            -0.03x         = -390\r\n" );
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document.write( "                 x         = 390/0.03 = 13,000.\r\n" );
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document.write( "ANSWER.  Invest $13,000 in short-term;  $13,000 in intermediate-term;  the resr 50000-13000-13000 = 24000 in long-term.\r\n" );
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document.write( "CHACK.  0.04*13000 + 0.05*13000 + 0.06*24000 = 2610 dollars, total annual interest.\r\n" );
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document.write( "        0.0522*50000 = 2610 dollars,  the same amount.   ! solved correctly !\r\n" );
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\n" ); document.write( "\n" ); document.write( " using one single unknown and one single equation.\r
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