Terbium-160 has a half-life of about 72 days.

After 396 days, about how many miligrams of a 220 mg sample will remain.

A) 5mg
B)12mg
C)40mg
D)194mg

Please show work or give the equation I am so confused

Respuesta :

For the half-life of a certain substance, the equation that would best represent the scenario is,
                             At = Ao(0.5^t/n)
where At is the amount at any time t, Ao is the original amount, and n is half-life. Substituting the known values,
                            At = (220 mg)(0.5^(396/72)
                            At = 4.86 mg
Thus, after 396 days, there will only be 4.86 mg of Terbium-160.