label Mathematics
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schedule 1 Day
account_balance_wallet \$5

A stock market investment of \$18,000 was made in 1970. During the decade of the 1970s, the stock lost half its value. Beginning in 1980, the value increased until it reached \$34,000 in 1990. After that its value has remained stable. Let
v = v(d)
denote the value of the stock, in dollars, as a function of the date d.
(a) What are the values of v(1970), v(1980), v(1990), and v(2010)?
(b) Make a graph of v against d.

(c) Estimate the time when your graph indicates that the value of the stock was most rapidly increasing.

Sep 8th, 2015

a)

v(1970) = 18000                                    Initial value was \$18,000

v(1980) = (1/2)*18000 = 9000              Half the value during 1970’s

v(1990) = 34000                                    Reached \$34000 in 1990

v(2010) = 34000                                    Remained the same after 1990

b)

I will send you the graph shortly!  Still fixing it up.

c)

The time when the value of the stock was most rapidly increasing is when the graph has the steepest line.  This would occur between 1980 and 1990, because it increased from \$9000 to \$34000.

Sep 8th, 2015

Stock Value(\$) vs. Year

Sep 8th, 2015
Sep 8th, 2015

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Sep 8th, 2015
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Sep 8th, 2015
Oct 22nd, 2017
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