Question

If a hospital patient is given 50 milligrams of medicine which leaves the bloodstream at 10% per hour, how many milligrams of medicine will remain in the system after 6 hours? Use the function A(t) = Iert

Answer 1

Alright
so equation is
$A(t)=Pe^{rt}$
P=initial amount
and t=time
r=rate

given
initial amount is 50
rate is 10%, but decreasing by 10% so -0.1
and time=6

$A(6)=50e^{-0.1*6}$
$A(6)=50e^{-0.6}$
A(6)=27.4406
about 27mg