Let P(t)=47(1ekt)+52\displaystyle {P}{\left({t}\right)}={47}{\left({1}-{e}^{{-{k}{t}}}\right)}+{52} represent the expected score for a student who studies t\displaystyle {t} hours for a test. Suppose k=0.1\displaystyle {k}={0.1} and test scores must be integers.

What is the highest score the student can expect?  

If the student does not study, what score can he expect?