The number of milligrams of a diabetic drug in a person's system after t hours is given by the function D(t)=20e^(-0.4t). How much of the drug is in the person's system after 5 hours?

Question

anonymous · Answer

@jim_thompson5910 @satellite73 @Mertsj

jim_thompson5910 · Answer

Plug in t = 5 and evaluate.


D(t)=20e^(-0.4t)


D(5)=20e^(-0.4*5)


D(5)=20e^(-2)


D(5)=20(0.13533528)


D(5)=2.7067056


So roughly 2.7067056 mg of the drug is left in the system.

anonymous · Answer

Thank you soooo much! =)

jim_thompson5910 · Answer

sure thing :)