Question

An element with mass 290 grams decays by 13.2% per minute. How much of the element is remaining after 14 minutes, to the nearest 10th of a gram?

Answer 1

Answer:

39.96g

Step-by-step explanation:

Answer 2

The mass of the remaining element is 40.0 grams.

It is given that,

• Initial value: 290 grams
• Decay rate: 13.2%
• Time: 14 minutes

Explanation:

The exponential decay model is:

$y=a(1-r)^t$

Where, $a$ is the initial value, $r$ is the decay rate, $t$ is time period.

Substitute the given values in the above formula.

$y=290(1-0.132)^{14}$

$y=290(0.868)^{14}$

$y=39.9644785$

$y\approx 40.0$

Thus, the mass of the remaining element is 40.0 grams.

Learn more:

https://brainly.com/question/15055191