document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183349>Question 1183349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello<BR>\n" );
document.write( "Question<BR>\n" );
document.write( "Lisa was offered two payment options for a three month long job.<BR>\n" );
document.write( "If she chooses Option A, she will be paid 35,000 monthly. If she chooses Option B, she will be paid 30,000 in the first month with an increase of 20% after each month<BR>\n" );
document.write( "Which option pays more\r<BR>\n" );
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document.write( "Option A: 3 MONTHS<BR>\n" );
document.write( "35,000 * 3=105,000\r<BR>\n" );
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document.write( "OPTION B: 3 MONTHS<BR>\n" );
document.write( "30,000<BR>\n" );
document.write( "30,000 * 1.2 = 36,000<BR>\n" );
document.write( "36,000 * 1.2 = 43,200<BR>\n" );
document.write( "$30,000+36,000+43,200=109,200\r<BR>\n" );
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document.write( "How I calculate option b is<BR>\n" );
document.write( "30,000 M+<BR>\n" );
document.write( "30,000 * 1.2=36,000 M+<BR>\n" );
document.write( "36,000 * 1.2=43,200 M+<BR>\n" );
document.write( "MR\r<BR>\n" );
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document.write( "When I do 1.2^2=1.44, it only gives me the final and 3rd month and not the grand total\r<BR>\n" );
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document.write( "Is there a better way to calculate the grand total?\r<BR>\n" );
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document.write( "Thanks in advance.<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 #813616 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=813616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for only 3 months, doing it the way you did it is fine.<BR>\n" );
document.write( "the second option is also a geometric progression type formula.<BR>\n" );
document.write( "in that formula:<BR>\n" );
document.write( "An = A1 * r ^ (n-1)<BR>\n" );
document.write( "in your problem:<BR>\n" );
document.write( "A1 = 30,000<BR>\n" );
document.write( "r = 1.2<BR>\n" );
document.write( "n = 3<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "A3 = 30,000 * 1.2 ^ 2 = <BR>\n" );
document.write( "there is also the sum formula that says:<BR>\n" );
document.write( "Sn = A1 * (1 - r^n) / (1 - r)<BR>\n" );
document.write( "in your problem:<BR>\n" );
document.write( "n = 3<BR>\n" );
document.write( "r = 1.2<BR>\n" );
document.write( "A1 = 30,000<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "S3 = 30,000 * (1 - 1.2^3) / (1 - 1.2)<BR>\n" );
document.write( "solve for S3 to get:<BR>\n" );
document.write( "S3 = 109,200.\r<BR>\n" );
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document.write( "the formula is called a geometric sequence formula.<BR>\n" );
document.write( "here's a reference.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.mathplanet.com/education/algebra-2/sequences-and-series/geometric-sequences-and-series\" target = \"_blank\">https://www.mathplanet.com/education/algebra-2/sequences-and-series/geometric-sequences-and-series</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );