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38) a car starts slowly and then speeds up. eventually the car slows down and st

ID: 2880716 • Letter: 3

Question

38) a car starts slowly and then speeds up. eventually the car slows down and stops. graph the distance that the car has traveled against time.

48) on black monday october 28 1929 the stock market on wall street crashed. the dow jones average dropped from 298.94 to 260.64 in one day. what was the relative change in the index?

38) a) true or flase: the annual us consumption of biodiesel gre exponentially from 2003 to 2005. justify your answer without doing any calculations

b) according to this data, during what single years(s), if any, did the us consumption of biodiesel at least double?

c) according to this data, during what single years (s), if any, did the us consumption of biodiesel at least triple?

year 2003 2004 2005 2006 2007 2008 2009

% growth -12.5 92.9 237 186.6 37.2 -11.7 7.3

6) 100=25(1.5)^t => natural logarithms

24) P=7e^pi t => growth and decay

Explanation / Answer

(6) 100 = 25(1.5)^(t)

(1.5)^(t) = 4

Take loghrithms both side

log(1.5)^(t) = log(4)

{ by log property }

(t)log(1.5) = log(4)

t = log(4)/log(1.5)

{ log(4) = 1.386 , log(1.5) = 0.405}

t = 1.386/0.405

t = 3.422

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