an element with mass 330 grams decays by 25.5% per minute. how much of the element is remaining after 5…

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, $A_0=330$, $r = 0.255$, and $t = 5$.

Step2: Substitute values into formula

$A=330\times(1 - 0.255)^5$. First, calculate $1-0.255 = 0.745$. Then, find $(0.745)^5=0.745\times0.745\times0.745\times0.745\times0.745\approx0.2217$.

Step3: Calculate remaining amount

$A = 330\times0.2217\approx73.2$.

Answer:

$73.2$ grams