Question

an element with mass 730 grams decays by 28.8% per minute. how much of the element is remaining after 10 minutes, to the nearest 10th of a gram? answer attempt 2 out of 2 22.0 submit answer 4 60°f clear

Explanation:

Step1: Define decay formula

The exponential decay formula is $A = P(1 - r)^t$, where:

• $P = 730$ (initial mass),
• $r = 0.288$ (decay rate per minute),
• $t = 10$ (time in minutes).

Step2: Calculate remaining factor

First compute $(1 - 0.288)^{10} = 0.712^{10}$.
$0.712^{10} \approx 0.0301$

Step3: Find remaining mass

Multiply initial mass by the factor:
$A = 730 \times 0.0301$

Answer:

22.0 grams