an element with mass 730 grams decays by 28.8% per minute. how much of the element is remaining after 10…

Explanation:

Step1: Identify decay formula

The formula for exponential decay is $A = P(1 - r)^t$, where $P$ is the initial amount, $r$ is the rate of decay as a decimal, and $t$ is the time. Here, $P=730$, $r = 0.288$, and $t = 10$.

Step2: Substitute values into formula

$A=730\times(1 - 0.288)^{10}=730\times(0.712)^{10}$.

Step3: Calculate $(0.712)^{10}$

$(0.712)^{10}\approx0.02827$.

Step4: Calculate $A$

$A = 730\times0.02827\approx20.6$.

Answer:

$20.6$ grams