The number of bacteria in a refrigerated food product is given by ` N(T) = 21 T^2 - 89 T + 18 `, `5 < T < 35 ` where `T` is the temperature of the food.
When the food is removed from the refrigerator, the temperature is given by `T(t) = 9 t + 1.7 ` , where `t` is the time in hours.

Find the composite function ` N(T(t)) `:
` N(T(t)) =`  

Find the time when the bacteria count reaches 20006. Give your answer accurate to at least 2 decimal places.
Time Needed =   hours