An object with initial temperature 200\displaystyle {200}℉ is submerged in large tank of water whose temperature is 60\displaystyle {60}℉. Find a formula for F(t)\displaystyle {F}{\left({t}\right)}, the temperature of the object after t\displaystyle {t} minutes, if the cooling constant is k=1.6\displaystyle {k}={1.6}.

F(t)=\displaystyle {F}{\left({t}\right)}=