document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207165>Question 1207165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Chris has invented a new app for smart phones that two companies are interested in purchasing for a 2-year contract.<BR>\n" );
document.write( "Company A is offering her $10,000 for the first month and will increase the amount each month by $5000.<BR>\n" );
document.write( "Company B is offering $500 for the first month and will double their payment each month from the previous month.<BR>\n" );
document.write( "Monthly payments are made at the end of each month. For which monthly payment will company B’s payment first exceed company A’s payment?<BR>\n" );
document.write( "A. 6<BR>\n" );
document.write( "B. 7<BR>\n" );
document.write( "C. 8<BR>\n" );
document.write( "D. 9<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844884 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Chris has invented a new app for smart phones that two companies are interested in purchasing for a 2-year contract.<BR>\n" );
document.write( "Company A is offering her $10,000 for the first month and will increase the amount each month by $5000.<BR>\n" );
document.write( "Company B is offering $500 for the first month and will double their payment each month from the previous month.<BR>\n" );
document.write( "Monthly payments are made at the end of each month. For which monthly payment will company B’s payment first exceed company A’s payment?\r<BR>\n" );
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document.write( "Company A is offering her $10,000 for the first month and will increase the amount each month by $5000.<BR>\n" );
document.write( "Every month there is an increase of $5000. (fixed)<BR>\n" );
document.write( "We use a(n) formula of arithmetic squence.<BR>\n" );
document.write( "Let n be the number of months when  salary  of B greater than that of A\r<BR>\n" );
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document.write( "a(n)= 10000+ (n-1)*5000\r<BR>\n" );
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document.write( "a(n) = 10000+5000n-5000 = 5000+5000n\r<BR>\n" );
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document.write( "Company B is offering $500 for the first month and will double their payment each month from the previous month.\r<BR>\n" );
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document.write( "Here it forms a geometric sequence  with ratio r=2<BR>\n" );
document.write( "a=500\r<BR>\n" );
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document.write( "a(n) = 500*2^(n-1)\r<BR>\n" );
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document.write( "500*2^(n-1) >5000+5000n\r<BR>\n" );
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document.write( "2^(n-1) >10+10n\r<BR>\n" );
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document.write( "Find n using calculator to find when B's salary will be higher than A's\r<BR>\n" );
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document.write( "or plug n = 5,6,7,8,9  to find the correct choice\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );