an element with mass 730 grams decays by 27.6% per minute. how much of the element is remaining after 12…

Explanation:

Step1: Identify decay formula

The formula for exponential decay is $A = A_0(1 - r)^t$, where $A_0$ is the initial amount, $r$ is the rate of decay, and $t$ is the time. Here, $A_0=730$, $r = 0.276$, and $t = 12$.

Step2: Substitute values into formula

$A=730\times(1 - 0.276)^{12}=730\times0.724^{12}$.

Step3: Calculate $0.724^{12}$

$0.724^{12}\approx0.00793$.

Step4: Calculate remaining amount

$A = 730\times0.00793\approx5.8$.

Answer:

$5.8$ grams