Question

The half-life of a radioactive kind of rhythium is 1 year. If you start with 64 grams of it, how much will be left after 3 years

Answer 1

In order to calculate the amount left after 3 years, we can use the following equation for exponential decay or growth:

`P=P_0\cdot(1+i)^t`

Where P is the final amount after t years, P0 is the initial amount and i is the growth or decay rate per year.

In this case, let's use P0 = 64, i = -0.5 (it decays half of the amount in a year) and t = 3, so we have:

`\begin{gathered} P=64(1-0.5)^3 \\ P=64\cdot0.5^3 \\ P=64\cdot0.125 \\ P=8 \end{gathered}`

So there will be left 8 grams after 3 years.