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The table shows the annual profit or loss of Famed Film Corporation for the years 2003 to 2010 and the average profit of $0.3375 million for the 8-year period.
year | profits lost/millions
2004 $3.40
2005 $2.10
2006 $?
2007 $0.60
2008 $2.10
2009 -$0.20
20010 $1.30
2011 $-$0.75

average- $1


What was the profit/loss in 2006, in millions? Round your answer to the nearest hundredth.

Respuesta :

Let the average profit or loss in year 2006 be x millions, 


The average profit for the 8-year period, is the total sum of the profits (or losses) of each year, divided by 8:

so we have:

[tex]\displaystyle{ \frac{3.40+2.10+x+0.60+2.10+0.20+1.30+0.75}{8}=1 [/tex]

[tex]\displaystyle{\frac{10.45+x}{8}=1 [/tex]

[tex]10.45+x=8[/tex]

x=8-10.45=-2.45


Answer: the loss in 2006, was 2.45 million dollars

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