an element with mass 640 grams decays by 7.3% per minute. how much of the element is remaining after 8…

Explanation:

Step1: Identify the 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, $A_0=640$ grams, $r = 0.073$, and $t = 8$.

Step2: Substitute values into the formula

$A=640\times(1 - 0.073)^{8}=640\times(0.927)^{8}$.

Step3: Calculate $(0.927)^{8}$

$(0.927)^{8}\approx0.5697$.

Step4: Calculate the remaining amount

$A = 640\times0.5697\approx364.6$ grams.

Answer:

$364.6$ grams