Prof. Oops reports to his class three facts: (a) a(t) = at2+Bt+ 1: (b) $1,000 invested at time 0 accumulates to $,200 at time 2; (c) $1,000 invested at time 0 accumulates to $10,000 at time 4. Explain why all three of these statements cannot simultaneously be true. Give an example of an accumulation function such that facts (b) and (c) hold