document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167096>Question 1167096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if you earned up to 5,000,000 in 2016 from an employer, your social security tax rate was 5.2% your income. if you earned over 5,000,000, you pay a fixed amount of 350000.<BR>\n" );
document.write( "a.write a piecewise linear function to represent the social security taxes for incomes between 0 and 10,000,000.<BR>\n" );
document.write( "b.how much social security tax would be deducted from someone who earns 250,000?<BR>\n" );
document.write( "c.How much is your income if you paid 200,000 in social security tax in 2016? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791664 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your piecewise function is:\r<BR>\n" );
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document.write( "y = .052 * x for x <= 5,000,000\r<BR>\n" );
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document.write( "y = 350,000 for 5,000,000 < x <= 10,000,000\r<BR>\n" );
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document.write( "if you made 250,000, then the first formula would be used and your tax would .052 * 250,000 = 13,000.\r<BR>\n" );
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document.write( "if your income was 5,000,000,then your social security tax would be .052 * 5,000,000 = 260,000\r<BR>\n" );
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document.write( "since your social security tax is 200,000, then your income had to be less than 5,000,000.\r<BR>\n" );
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document.write( "your income is therefore 200,000 /.052 = 3,846,153.846.\r<BR>\n" );
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document.write( "this would be derived from the formula of y = .052 * x<BR>\n" );
document.write( "when y = 200,000, the formula becomes 200,000 = .052 * x<BR>\n" );
document.write( "solve for x to get x = 200,000 /.052 = 3,846,153.846.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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