cobalt - 60 has an annual decay rate of about 13%. how many grams of a 300 g sample will remain after 20…

Explanation:

Step1: Identify decay formula

The formula for exponential decay is $A = P(1 - r)^t$, where $A$ is the final amount, $P$ is the initial amount, $r$ is the decay rate, and $t$ is the time.

Step2: Substitute values

Given $P = 300$ g, $r=0.13$, and $t = 20$. Substitute into the formula: $A=300\times(1 - 0.13)^{20}$.

Step3: Calculate $(1 - 0.13)^{20}$

$1-0.13 = 0.87$, and $(0.87)^{20}\approx0.03127$.

Step4: Calculate final amount

$A = 300\times0.03127=9.381\approx9.38$ g.

Answer:

9.38 g