document.write( "Question 776173: An executive invests $26,000, some at 8% and some at 4% annual interest. If he receives an annual return of $1,600, how much is invested at each rate? \n" ); document.write( "

Algebra.Com's Answer #473424 by mananth(16946) $\"\"$ $\"About$

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Part I 8.00% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 4.00% per annum ------------ Amount invested = y
\n" ); document.write( " 26000
\n" ); document.write( "Interest----- 1600.00
\n" ); document.write( "
\n" ); document.write( "Part I 8.00% per annum ---x
\n" ); document.write( "Part II 4.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 26000 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "8.00% x + 4.00% y= 1600
\n" ); document.write( "Multiply by 100
\n" ); document.write( "8 x + 4 y= 160000.00 --------2
\n" ); document.write( "Multiply (1) by -8
\n" ); document.write( "we get
\n" ); document.write( "-8 x -8 y= -208000.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x -4 y= -48000
\n" ); document.write( "divide by -4
\n" ); document.write( " y = 12000
\n" ); document.write( "Part I 8.00% $ 14000
\n" ); document.write( "Part II 4.00% $ 12000
\n" ); document.write( "
\n" ); document.write( "CHECK
\n" ); document.write( "14000 --------- 8.00% ------- 1120.00
\n" ); document.write( "12000 ------------- 4.00% ------- 480.00
\n" ); document.write( "Total -------------------- 1600.00
\n" ); document.write( "
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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