Question

Turtoneom has a half-life of 4 years. Suppose a company has 400mg of Turtoneom. How much will be left after 20 years?

Answer 1

If
`y(t)` is the mass (in mg) remaining after
`t` years, then
`y(t) = y(0) (0.5)^(t/T) = 400 (0.5)^(t /4)`, where
`T` is the half-life period and
`y(0)` is the amount at t = 0 years (initial).

Then at t = 20:

`y(20) = 400 (0.5)^(20 /4) = \text{12.5 mg}`