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

question 114

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) \(\$ 1,029,000\)

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