$\text { The rate of disbursement } d Q / d t \text { of a } 2 \text { million dollar federal grant is proportional to }$

Multiple Choice

$\text { The rate of disbursement } d Q / d t \text { of a } 2 \text { million dollar federal grant is proportional to }$ the square of $100 - t$ . Time $t$ is measured in days $( 0 \leq t \leq 100 )$ and $Q$ is the amount that remains to be disbursed. Find the amount that remains to be disbursed after 30 days. Assume that all the money will be disbursed in 100 days.

A) $\$ 686,000$
B) $\$ 50,700$
C) $\$ 101,400$
D) $\$ 33,800$
E) $\$ 1,029,000$