document.write( "Question 880747:  An executive invests $25,000, some at 5% and some at 4% annual interest. If he receives an annual return of $1,150, how much is invested at each rate?\r
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document.write( "at 5% interest  
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document.write( "at 4% interest   \n" );
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| Algebra.Com's Answer #531658 by mananth(16946)     You can put this solution on YOUR website! Part I 5.00% per annum ---x \n" ); document.write( "Part II 4.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 25000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "5.00% x + 4.00% y= 1150 \n" ); document.write( "Multiply by 100 \n" ); document.write( "5 x + 4 y= 115000.00 --------2 \n" ); document.write( "Multiply (1) by -5 \n" ); document.write( "we get \n" ); document.write( "-5 x -5 y= -125000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x -1 y= -10000 \n" ); document.write( "divide by -1 \n" ); document.write( " y = 10000 \n" ); document.write( "Part I 5.00% $ 15000 \n" ); document.write( "Part II 4.00% $ 10000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "15000 --------- 5.00% ------- 750.00 \n" ); document.write( "10000 ------------- 4.00% ------- 400.00 \n" ); document.write( "Total -------------------- 1150.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |