The number of bacteria in a refrigerated food product is given by N(T)=25T282T+31\displaystyle {N}{\left({T}\right)}={25}{T}^{{2}}-{82}{T}+{31}, 3<T<33\displaystyle {3}<{T}<{33} where T\displaystyle {T} is the temperature of the food.
When the food is removed from the refrigerator, the temperature is given by T(t)=4t+1.4\displaystyle {T}{\left({t}\right)}={4}{t}+{1.4} , where t\displaystyle {t} is the time in hours.

Find the composite function N(T(t))\displaystyle {N}{\left({T}{\left({t}\right)}\right)}:
N(T(t))=\displaystyle {N}{\left({T}{\left({t}\right)}\right)}=  

Find the time when the bacteria count reaches 4028. Give your answer accurate to at least 2 decimal places.
Time Needed =   hours