document.write( "Question 900711: i know it said don't dump your homework but i only have these two for college algebra. please get back
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\n" ); document.write( "\n" ); document.write( "An executive invests $22,000, some at 7% and some at 5% annual interest. If he receives an annual return of $1,420, how much is invested at each rate?\r
\n" ); document.write( "\n" ); document.write( "A doctor prescribes an ointment that is 4% hydrocortisone. A pharmacist has 1% and 5% concentrations in stock. How many ounces of each should the pharmacist use to make a 1-ounce tube?
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Algebra.Com's Answer #546089 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
Part I 7.00% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 5.00% per annum ------------ Amount invested = y
\n" ); document.write( " 22000
\n" ); document.write( "Interest----- 1420.00
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\n" ); document.write( "Part I 7.00% per annum ---x
\n" ); document.write( "Part II 5.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 22000 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "7.00% x + 5.00% y= 1420
\n" ); document.write( "Multiply by 100
\n" ); document.write( "7 x + 5 y= 142000.00 --------2
\n" ); document.write( "Multiply (1) by -7
\n" ); document.write( "we get
\n" ); document.write( "-7 x -7 y= -154000.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x -2 y= -12000
\n" ); document.write( "divide by -2
\n" ); document.write( " y = 6000
\n" ); document.write( "Part I 7.00% $ 16000
\n" ); document.write( "Part II 5.00% $ 6000
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\n" ); document.write( "CHECK
\n" ); document.write( "16000 --------- 7.00% ------- 1120.00
\n" ); document.write( "6000 ------------- 5.00% ------- 300.00
\n" ); document.write( "Total -------------------- 1420.00
\n" ); document.write( "------------------ \r
\n" ); document.write( "\n" ); document.write( "Hydrocortisone
\n" ); document.write( " percent ---------------- quantity
\n" ); document.write( "Type I 1.00% ---------------- x ounce
\n" ); document.write( "Type II 5.00% ------ 1 - x ounce
\n" ); document.write( "Mixture 4.00% ---------------- 1
\n" ); document.write( "Total 1 ounce
\n" ); document.write( "1.00% x + 5.00% ( 1 - x ) = 4.00% * 1
\n" ); document.write( "1 x + 5 ( 1 - x ) = 4
\n" ); document.write( "1 x + 5 - 5 x = 4
\n" ); document.write( "1 x - 5 x = 4 - -5
\n" ); document.write( "-4 x = -1
\n" ); document.write( "/ -4
\n" ); document.write( " x = 0.25 ounce 1.00% Type I
\n" ); document.write( " 0.75 ounce 5.00% Type II \r
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\n" ); document.write( "m.ananth@hotmail.ca
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