Answer: 51.2 mg
Step-by-step explanation:
The exponential equation to represent decay:-
[tex]y=A(1-r)^t[/tex] , where A is the initial value , r is the rate of decay and t is the time period.
As per given, we have
A= 400 and r= 29%=0.29
Put theses values in the above formula.
The amount left after t hours:
[tex]y=400(1-0.29)^t=400(0.71)^t[/tex]
Put t=6 , we get
[tex]y=400(0.71)^6=400(0.128100283921)\\\\=51.2401135684\approx51.2\ mg[/tex]
Hence, the amount of aspirin is left in her system after 6 hours= 51.2 mg
