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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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
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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)![]() ![]() 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 \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |