document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317353>Question 317353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help solving  other problems. I never know where to start with forming an equation.\r<BR>\n" );
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document.write( "1. Investing 30,000, part at 5% and the rest at 10%. What is the most I can invest<BR>\n" );
document.write( "at 5% and still be guaranteed at least $2000 in interest per year?\r<BR>\n" );
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document.write( "2. If I can be paid for my skills in one of two ways, with 2 different plans.<BR>\n" );
document.write( "Plan A: pays $300 plus $9.00 per hour.\r<BR>\n" );
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document.write( "Plan B: Straight $12.50 per hour\r<BR>\n" );
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document.write( "Now suppose that the job takes n hours. For what value of n is plan b better for me. \r<BR>\n" );
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document.write( "Please just explain how to figure out the equations, I would like to solve the equation myself if possible. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227224 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=227224\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Investing 30,000, part at 5% and the rest at 10%. What is the most I can invest at 5% and still be guaranteed at least $2000 in interest per year?<BR>\n" );
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document.write( "Using two variable and two equations you get:<BR>\n" );
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document.write( "Quantity Equation: x + y = 30,000 dollars<BR>\n" );
document.write( "Interest Equation: 0.05x + 0.10y = 2000 dollars<BR>\n" );
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document.write( "Multiply thru the 1st equation by 10.<BR>\n" );
document.write( "Multiply thru the 2nd equation by 100:<BR>\n" );
document.write( "Quant: 10x + 10y = 300000<BR>\n" );
document.write( "Inter:  5x + 10y = 200000<BR>\n" );
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document.write( "Subtract the 2nd from the 1st and solve for \"x\":<BR>\n" );
document.write( "5x = 100,000<BR>\n" );
document.write( "x = $20,0000 (amt. to be invested at 5%<BR>\n" );
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document.write( "2. If I can be paid for my skills in one of two ways, with 2 different plans.<BR>\n" );
document.write( "Plan A: pays $300 plus $9.00 per hour.<BR>\n" );
document.write( "Equation A: A(n) = 300 + 900n<BR>\n" );
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document.write( "Plan B: Straight $12.50 per hour<BR>\n" );
document.write( "Equation B: B(n) = 12.50n<BR>\n" );
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document.write( "Now suppose that the job takes n hours. For what value of n is plan b better for me.<BR>\n" );
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document.write( "Solve for \"n\": <BR>\n" );
document.write( "12.50n > 300 + 9n<BR>\n" );
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document.write( "3.5n > 300<BR>\n" );
document.write( "n > 85.71<BR>\n" );
document.write( "Round up to get:<BR>\n" );
document.write( "n >= 86 hours.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "Please just explain how to figure out the equations </SPAN>\n" );
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