0n a remote tropical island, the average life expectancy of women is given by the model
y=6000+67x2.2x2+.04x3,\displaystyle {y}=\sqrt{{{6000}+{67}{x}-{2.2}{x}^{{2}}+{.04}{x}^{{3}}}},
where y\displaystyle {y} is the "average life expectancy for a woman" since 1980. Thus, x\displaystyle {x} is the number of years after 1980. What is the predicted average life expectancy of a woman in the year 2006?

Average Life Expectancy =  

Give your answer to two decimal places