The rate of disbursement dq/dt of a 2 million dollar federal grant is proportional to the square of 100-t. time t is measured in days (0 lessthanorequalto t lessthanorequalto 100), and q is the amount that remains to be disbursed. find the amount that remains to be disbursed after 40 days. assume that all the money will be disbursed in 100 days.

a. $117, 600
b. $648,000
c. $39, 200
d. $58, 800
e. $432,000