an element with mass 780 grams decays by 16.3% per minute. how much of the element is remaining after 16…

Answer:

31.4 grams

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, $A_0=780$ grams, $r = 0.163$, and $t = 16$ minutes.

Step2: Substitute values into formula

$A=780\times(1 - 0.163)^{16}=780\times(0.837)^{16}$.

Step3: Calculate $(0.837)^{16}$

Using a calculator, $(0.837)^{16}\approx0.040256$.

Step4: Calculate the remaining amount

$A = 780\times0.040256\approx31.4$ grams.