Question

an element with mass 310 grams decays by 5.7% per minute. how much of the element is remaining after 9 minutes, to the nearest 10th of a gram?

Explanation:

Step1: Define decay formula

The exponential decay formula is $A = P(1 - r)^t$, where $P=310$, $r=0.057$, $t=9$.

Step2: Calculate decay factor

$1 - r = 1 - 0.057 = 0.943$

Step3: Compute factor raised to time

$0.943^9 \approx 0.5902$

Step4: Find remaining mass

$A = 310 \times 0.5902$

Answer:

182.9 grams