an element with mass 650 grams decays by 29.5% per minute. how much of the element is remaining after 20…

an element with mass 650 grams decays by 29.5% per minute. how much of the element is remaining after 20 minutes, to the nearest 10th of a gram? if you are doing this in more than one step, do not round until the very end. do not include units or words. for example, if your final answer is 21.7 grams, you should just write 21.7.

an element with mass 650 grams decays by 29.5% per minute. how much of the element is remaining after 20 minutes, to the nearest 10th of a gram? if you are doing this in more than one step, do not round until the very end. do not include units or words. for example, if your final answer is 21.7 grams, you should just write 21.7.

Answer

Explanation:

Step1: Determine decay factor

The element decays by 29.5% per minute. So the decay - factor $r = 1 - 0.295=0.705$.

Step2: Use the exponential decay formula

The formula for exponential decay is $A = A_0r^t$, where $A_0$ is the initial amount, $r$ is the decay factor, and $t$ is the time. Here, $A_0 = 650$, $r = 0.705$, and $t = 20$. So $A=650\times(0.705)^{20}$.

Step3: Calculate the result

$(0.705)^{20}\approx0.001397$. $A = 650\times0.001397\approx0.9$.

Answer:

0.9