The number of milligrams of a drug that remains in a patient's system after t hours is given by the function A(t) = Iert. Jordan was given 350 milligrams of medicine which leaves his bloodstream at a rate of 20%. How much of the medicine remains in his system after 4 hours?

Question

kropot72 · Answer

Is this the function?$$A(t)=Ie ^{-rt}$$

anonymous · Answer

yea

kropot72 · Answer

$$A(4\min)=350\times e ^{-(0.2\times 4)}=\frac{350}{e ^{0.8}}$$
Can you calculate the answer?

anonymous · Answer

actually i cant... can you walk me through it?

kropot72 · Answer

You have to divide 350 by the exponential number 'e' raised to the power of 0.8.
Can you find the value of the exponential number 'e' raised to the power of 0.8? 
A suitable calculator will do it

anonymous · Answer

what is the value of e?

anonymous · Answer

what is the value of e?

anonymous · Answer

or is that unknown?

kropot72 · Answer

An approximate value for 'e' is 2.7183

anonymous · Answer

im getting some wierd answers that dont make any sense

anonymous · Answer

im getting some wierd answers that dont make any sense

anonymous · Answer

im getting some wierd answers that dont make any sense

kropot72 · Answer

$$e ^{0.8}=2.2255$$
Amount of medicine in bloodstream after 4 hours = 350/2.2255 milligrams