Problema Solution
The net income (in millions of dollars) generated by xerox corporation can be approximated by the equation y=89.29x^2 -1577x +7505 where x=6 corresponds to the year 2006. In what years between 2006 and 2012 did Xerox have a net income higher than $1000 million?
Answer provided by our tutors
we need to find x, x>0 such that 89.29x^2 -1577x +7505 > 1000
the zeros of the function 89.29x^2 -1577x +7505 = 1000 are
x1 = 6.57
x2 = 11.1
click here to see the step by step solution of the equation:
make a drawing of the parabola z = 89.29x^2 -1577x +7505 - 1000 and determine for what x we have z>0
the solution is for x element of (6.57, 11.1) we have z>o or y - 1000 > 0 which is y > 1000
since the year in integer, the integer values of the interval (6.57, 11.1) are: 7, 8, 9, 10, and 11
in the years: 2007, 2008, 1009, 2010 and 2011 the net income was higher than $1000 million.