document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1067224>Question 1067224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jennifer starts a new investment account that grows exponentially. Her financial advisor tells her the initial investment of $50,000 grows at a rate of about 15% annually.\r<BR>\n" );
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document.write( "1. Determine a function, I(t), that determines Jennifer’s investment account balance after t years. For the exponential growth function, what are the “a” and “b” values? What do those values represent? (5 points for the explanation of “a” and “b” and 5 points for the function)\r<BR>\n" );
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document.write( "2. Calculate how much money Jennifer will have after 10 years. (10 points)\r<BR>\n" );
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document.write( "3. What is Jennifer was able to deposit $100,000 as her initial investment, instead of $50,000.<BR>\n" );
document.write( "Write a new function, N(t), to show this change. (3 points)<BR>\n" );
document.write( "Calculate how much money Jennifer would have after 8 years. (2 points)<BR>\n" );
document.write( "Using complete sentences, compare the differences in the functions and the amount of money after 8 years for the two different functions. (5 points)\r<BR>\n" );
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document.write( "4. Graph the function I(t) and identify the y-intercept and the equation of the asymptote. (5 pts)\r<BR>\n" );
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document.write( "5. Graph the function N(t) and identify the y-intercept and the equation of the asymptote. (5 pts)\r<BR>\n" );
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document.write( "6. What does the asymptote mean in terms of Jennifer’s investment account? Be sure to explain your reasoning for credit. (5 pt)\r<BR>\n" );
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document.write( "7. Due to a worldwide recession, Jennifer’s financial advisor informs her the account is no longer growing after 4 years. He recommends she move her money to an account that is more conservative and earns only 4% annually. Determine the amount in Jennifer’s investment account after 4 years(using the $50,000 investment), rounding to the nearest dollar. It may be helpful to create a table. (10 points)\r<BR>\n" );
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document.write( "8. Write a new function, N(t), that represents the amount of money in Jennifer’s new account after t years. Be sure to use correct notation. (5 pts)\r<BR>\n" );
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document.write( "9. Did the asymptote of the new function change due to Jennifer moving her investment? Explain your reasoning. (5 pts)\r<BR>\n" );
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document.write( "Part II:<BR>\n" );
document.write( "10. Determine the area of a rectangle whose length is expressed as 3x3y2 and the width is expressed as 5x2y4. (5 points)\r<BR>\n" );
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document.write( "11. Determine the volume for a prism whose length is expressed as 3x3y2 and the width is expressed as 5x2y4 and a height of 2xy2 (5 points)<BR>\n" );
document.write( "Part III. Sequences\r<BR>\n" );
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document.write( "A national pool tournament starts with 650 teams. Each round sends half the teams to the losers bracket.\r<BR>\n" );
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document.write( "12. Complete the table below to show the number of teams in the tournament (5 points)\r<BR>\n" );
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document.write( "13. Write an explicit formula to describe this sequence that will determine how many teams are playing at any given round. Describe what “a” and “r” represent. (10 points)<BR>\n" );
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document.write( "15. How are linear and exponential functions similar and different. Discuss the relationship between the m and b in y= mx+b and the a and b or a and r in y = a (b)x or an = a1(r)x. (5 points)<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 #682418 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=682418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 15,000(1+0.15)^t<BR>\n" );
document.write( "I don't understand a and b values.<BR>\n" );
document.write( "To find how much she has after 10 years, 8 years, or n  years substitute the exponent t with the number you want and calculate.<BR>\n" );
document.write( "Every other question: same, substitute the appropriate number with the number you want and calculate.<BR>\n" );
document.write( "Good luck<BR>\n" );
document.write( "John </SPAN>\n" );
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