A $100$ mg per L solution of drug is adminsitered intravenously at a rate of $40$ mL per hr to a patient with constant blood volume equal to $5$ L$.$ The drug is metabolized by the patient at an unknown rate such that $30\%$ of the drug is metabolized each hour.

Assuming the patient had no drug in their system before receiving treatment, how much is found in their system after $65$ minutes?

Answer:

Number

mg $($accuracy to at least four decimal places is required so do not round carelessly$).$