The number of bacteria in a refrigerated food product is given by $\displaystyle {N}{\left({T}\right)}={22}{T}^{{2}}-{162}{T}+{86}$, $\displaystyle {7}<{T}<{37}$ where $\displaystyle {T}$ is the temperature of the food.
When the food is removed from the refrigerator, the temperature is given by $\displaystyle {T}{\left({t}\right)}={5}{t}+{1.5}$ , where $\displaystyle {t}$ is the time in hours.

Find the composite function $\displaystyle {N}{\left({T}{\left({t}\right)}\right)}$:
$\displaystyle {N}{\left({T}{\left({t}\right)}\right)}=$ Preview Question 6 Part 1 of 2  
Find the time when the bacteria count reaches 3994 (Give your answer to at least 3 decimal places)
Time Needed = Preview Question 6 Part 2 of 2