Will give brainliest if a hospital patient is given 100 milligrams of medicine which leaves the bloodstream at 14% per hour, how many milligrams of medicine will remain in the system after 10 hours? use the function a(t) = iert. 24.66 mg 86.94 mg 90.48 mg 405.52 mg

All you have to do is plug in the given values into the given equation and evaluate.

The expression is,


But we have to analyze the problem carefully. This is a natural phenomenon that can be modelled by a decay function. The reason is that, after every hour we expect the medicine in the blood to keep reducing.

Therefore we use the decay function rather. This is given by,



where,





and



On substitution, we obtain;





Now, we take our calculators and look for the constant


,then type e raised to exponent of -1.4. If you are using a scientific or programmable calculator you will find this constant as a secondary function. Remember it is the base of the Natural logarithm.

If everything goes well, you should obtain;



This implies that,



Therefore after 10 hours 24.66 mg of the medicine will still remain in the system.