document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179674>Question 179674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -Tessa has an antique plate valued at $75. It is expected to increase in value 8% per year.<BR>\n" );
document.write( "a.) how would you write a function for the value of the plate in t years?<BR>\n" );
document.write( "b.) how would you find out how much it would be worth in 10 years?<BR>\n" );
document.write( "c.) how would you find out when the plate would reach a value of $200? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134681 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -Tessa has an antique plate valued at $75. It is expected to increase in value 8% per year.\r<BR>\n" );
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document.write( "a.) how would you write a function for the value of the plate in t years? <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29+=+75%2A%281.08%29%5Et ALIGN=MIDDLE  ALT=\"f%28t%29+=+75%2A%281.08%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b.) how would you find out how much it would be worth in 10 years?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29+=+75%2A%281.08%29%5E10 ALIGN=MIDDLE  ALT=\"f%28t%29+=+75%2A%281.08%29%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use a calc to find 1.08^10<BR>\n" );
document.write( "f(t) = 75*2.158925<BR>\n" );
document.write( "f(t) = $161.92 value after 10 yrs<BR>\n" );
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document.write( "c.) how would you find out when the plate would reach a value of $200?<BR>\n" );
document.write( "f(t) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2A%281.08%29%5Et ALIGN=MIDDLE  ALT=\"75%2A%281.08%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute 200 for f(t)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2A%281.08%29%5Et ALIGN=MIDDLE  ALT=\"75%2A%281.08%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 200<BR>\n" );
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document.write( "Divide both sides by 75<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.08%29%5Et ALIGN=MIDDLE  ALT=\"%281.08%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F75 ALIGN=MIDDLE  ALT=\"200%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.08%29%5Et ALIGN=MIDDLE  ALT=\"%281.08%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3 ALIGN=MIDDLE  ALT=\"8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "use the log equiv of exponent<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Alog%281.08%29 ALIGN=MIDDLE  ALT=\"t%2Alog%281.08%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288%2F3%29 ALIGN=MIDDLE  ALT=\"log%288%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find the log of both sides<BR>\n" );
document.write( ".03342t = .42597<BR>\n" );
document.write( ";<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.42597%2F.03342 ALIGN=MIDDLE  ALT=\".42597%2F.03342\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 12.74 years to become valued at $200<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check solution on a calc; enter: 75*(1.08)^12.74 = 199.93 ~ 200, close enough<BR>\n" );
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document.write( "Any questions about this?<BR>\n" );
document.write( " </SPAN>\n" );
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