Question

An element with mass 970 grams decays by 15.1% per minute. How much of the element is remaining after 14 minutes, to the nearest 10th of a gram?

Answer 1

Answer:

98.1

Step-by-step explanation:

Given: mass= 970 gm

           Time = 14 min

           rate of decay= 15.1% per minute.

Now, computing to get amount of element remaining after 14 minutes.

Formula; Element remaining= $mass\times (1-r\%)^{t}$

Element remaining= $970\times (1-15.1\%)^{14}$

⇒ Element remaining= $970\times (1-0.151)^{14} = 970\times (.849)^{14}$

⇒ Element remaining= $970\times 0.101= 98.057$≅ 98.1 (nearest 10th of a gram)

∴ 98.1 element is still remaining after 14 minutes.