document.write( "Question 889507: You invested $8000 between two accounts paying 4% and 9% annual interest respectively. If the total interest earned for the year was $570, how much was invested at each rate?
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Algebra.Com's Answer #538259 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I 4.00% per annum ------------- Amount invested =x \n" ); document.write( "Part II 9.00% per annum ------------ Amount invested = y \n" ); document.write( " 8000 \n" ); document.write( "Interest----- 570.00 \n" ); document.write( " \n" ); document.write( "Part I 4.00% per annum ---x \n" ); document.write( "Part II 9.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 8000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "4.00% x + 9.00% y= 570 \n" ); document.write( "Multiply by 100 \n" ); document.write( "4 x + 9 y= 57000.00 --------2 \n" ); document.write( "Multiply (1) by -4 \n" ); document.write( "we get \n" ); document.write( "-4 x -4 y= -32000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 5 y= 25000 \n" ); document.write( "divide by 5 \n" ); document.write( " y = 5000 \n" ); document.write( "Part I 4.00% $ 3000 \n" ); document.write( "Part II 9.00% $ 5000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "3000 --------- 4.00% ------- 120.00 \n" ); document.write( "5000 ------------- 9.00% ------- 450.00 \n" ); document.write( "Total -------------------- 570.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |