During the semester, Arezo's daily grade at time $t$ (in days) is $G(t) = 0.008t^2 + 22\operatorname{sin}( \frac { t } { 5 } )+ 45$ . She will receive $$50$ if she passes calculus, which requires an average grade of $60\%$ or better. If her semester grade (over $18$ weeks) is the average grade during that time period, should she celebrate?