you have 4,592 grams of a radioactive kind of scandium. how much will be left after 168 days if its half…

Explanation:

Step1: Calculate number of half - lives

The number of half - lives $n=\frac{168}{84}=2$.

Step2: Use half - life formula

The formula for the remaining amount of a radioactive substance is $A = A_0\times(\frac{1}{2})^n$, where $A_0$ is the initial amount and $n$ is the number of half - lives. Here, $A_0 = 4592$ grams and $n = 2$. So $A=4592\times(\frac{1}{2})^2$.

Step3: Calculate the remaining amount

$A = 4592\times\frac{1}{4}=1148$ grams.

Answer:

1148