an element with mass 510 grams decays by 26.3% per minute. how much of the element is remaining after 7…
an element with mass 510 grams decays by 26.3% per minute. how much of the element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer
Answer:
$79.8$
Explanation:
Step1: Determine decay factor
The decay factor $r = 1 - 0.263=0.737$.
Step2: Write decay formula
The formula for exponential decay is $A = A_0r^t$, where $A_0 = 510$ (initial mass), $r = 0.737$, and $t = 7$ (time in minutes).
Step3: Substitute values
$A=510\times(0.737)^7$.
Step4: Calculate result
First, calculate $(0.737)^7\approx0.15647$. Then, $A = 510\times0.15647\approx79.8$.