an element with mass 590 grams decays by 19.5% per minute. how much of the element is remaining after 15…

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, $A_0=590$ grams, $r = 0.195$, and $t = 15$.

Step2: Substitute values

$A=590\times(1 - 0.195)^{15}$. First, calculate $1-0.195 = 0.805$. Then, find $(0.805)^{15}$. $(0.805)^{15}\approx0.0349$.

Step3: Calculate remaining amount

$A = 590\times0.0349\approx20.6$.

Answer:

$20.6$ grams