An element with mass 780 grams decays by 16.3% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram?

Exponential decay is a very common process especially when we are talking about radioactive materials. So, there is already a common formula for this type of behavior which is written below:

A = Pe^-rt

where

A is the amount left after time t

P is the initial amount at t=0

r is the rate

Substituting the values,

A = (780 g) (e^-0.163*16)

A = 57.5 g