document.write( "Question 677151: I'm not sure if I have this right. But, doing it as taught.\r
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document.write( "Mark invests $21,000 into two accounts with the simple interest rate of 4% and 6%. If he wants to earn $1020 annual interest. How much should he invest at each rate? \r
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document.write( "So far, I tabulated it and then came up with this equation and answer.\r
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document.write( "4%(x-21,000) + 6%(x) = 1020\r
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document.write( "I then multiplied times 10 to eliminate the percentages and then it looks like this.\r
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document.write( "4x - 84,000 + 6x = 10200\r
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document.write( "I combined like terms.\r
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document.write( "10x = 94200\r
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document.write( "Dividing by the coefficient, I got.\r
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document.write( "x = 9420\r
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document.write( "Then, I plugged x answer into x - 21,000 (9420 - 21,000 = 11580).\r
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document.write( "So, I believe my answer to be Mark must invest $9,420 at 6% and $11,580 at 4%.\r
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document.write( "Please be understanding of me, I'm painfully slow at this and I have no idea if I'm doing this right. I have no confidence at this point and I may forget the set up when exam time comes. \r
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Algebra.Com's Answer #420710 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! Let's see... \n" ); document.write( "Establish variables \n" ); document.write( "x = $ at 4% \n" ); document.write( "y = $ at 6% \n" ); document.write( "... \n" ); document.write( "Given equation \n" ); document.write( "x+y = 21000 \n" ); document.write( ".04x + .06y = 1020 \n" ); document.write( "... \n" ); document.write( "Substitute \n" ); document.write( ".04(21000-y) + .06y = 1020 \n" ); document.write( "840 - .04y + .06y = 1020 \n" ); document.write( "840 + .02y = 1020 \n" ); document.write( ".02y = 1020 - 840 \n" ); document.write( ".02y = 180 \n" ); document.write( " \n" ); document.write( "... \n" ); document.write( "x + 9000 = 21000 \n" ); document.write( "x = 21000 - 9000 = \n" ); document.write( "... \n" ); document.write( "Check \n" ); document.write( ".04(12000) + .06(9000) = 480+540 = 1020 \n" ); document.write( "..................... \n" ); document.write( "Delighted to help. \n" ); document.write( "-Reading Boosters \n" ); document.write( "Website: www.MyHomeworkAnswers.com \n" ); document.write( "Wanting for others what we want for ourselves. \n" ); document.write( " |