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

98.1

Explanation:

Answer 2

98.1

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* (1-r\%)^(t)`

Element remaining=
`970* (1-15.1\%)^(14)`

⇒ Element remaining=
`970* (1-0.151)^(14) = 970* (.849)^(14)`

⇒ Element remaining=
`970* 0.101= 98.057`≅ 98.1 (nearest 10th of a gram)

∴ 98.1 element is still remaining after 14 minutes.