Julia invested $400 in a mutual fund on June 30, 2000, using a generous high school graduation gift from her aunt. Ever crashed, and by June 30 that year Julia's investment had lost half its value. Over the course of the next year the fund ag continued to increase, and by June 30, 2006, Julia's investment was worth $480. By June 2007 the mutual fund had a 30 Julia's mutual fund is a function A(t) where t is the year. (a) Find A(2000), A(2001), A(2002), A(2003), A(2006), and A(2007). A(2000) = $ A(2001) $ A(2002) = $ A(2003)=$ A(2006)-$ A(2007)-$ verage rate of change of the function A between 2000 and 2007.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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Julia invested $400 in a mutual fund on June 30, 2000, using a generous high school graduation gift from her aunt. Every June 30th she records the amount in the fund. In early 2001 the stock market
crashed, and by June 30 that year Julia's investment had lost half its value. Over the course of the next year the fund again lost half its value, but in 2003 its value tripled. The value of the mutual fund
continued to increase, and by June 30, 2006, Julia's investment was worth $480. By June 2007 the mutual fund had a 30% increase, that is, it increased by 30% of its value on June 30, 2006. The value of
Julia's mutual fund is a function A(t) where t is the year.
(a) Find A(2000), A(2001), A(2002), A(2003), A(2006), and A(2007).
A(2000) = $
A(2001)=$
A(2002) = $
A(2003)=$
A(2006) = $
A(2007)=$
(b) Find the annual average rate of change of the function A between 2000 and 2007.
$
per year
Transcribed Image Text:Julia invested $400 in a mutual fund on June 30, 2000, using a generous high school graduation gift from her aunt. Every June 30th she records the amount in the fund. In early 2001 the stock market crashed, and by June 30 that year Julia's investment had lost half its value. Over the course of the next year the fund again lost half its value, but in 2003 its value tripled. The value of the mutual fund continued to increase, and by June 30, 2006, Julia's investment was worth $480. By June 2007 the mutual fund had a 30% increase, that is, it increased by 30% of its value on June 30, 2006. The value of Julia's mutual fund is a function A(t) where t is the year. (a) Find A(2000), A(2001), A(2002), A(2003), A(2006), and A(2007). A(2000) = $ A(2001)=$ A(2002) = $ A(2003)=$ A(2006) = $ A(2007)=$ (b) Find the annual average rate of change of the function A between 2000 and 2007. $ per year
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