Suppose a(t) = ata + t + y. If $100 invested at time o accumulates to $140 at time 4 and $200 invested at time o accumulates to $228 at time 2, find the accumulated value at time 8 of $1,100 invested at time 6. (Hint: First find the unknowns a and B. Then determine how much money X that you would need to deposit at time 0 in order to have an accumulation of $1,100 at time 6. The desired answer is the accumulated value of X at time 8.) (Round your answer to the nearest cent.) $ Suppose a(t) = ata + t + y. If $100 invested at time o accumulates to $140 at time 4 and $200 invested at time o accumulates to $228 at time 2, find the accumulated value at time 8 of $1,100 invested at time 6. (Hint: First find the unknowns a and B. Then determine how much money X that you would need to deposit at time 0 in order to have an accumulation of $1,100 at time 6. The desired answer is the accumulated value of X at time 8.) (Round your answer to the nearest cent.) $