Answer: To calculate the amount of the element remaining after 16 minutes, we can use the formula:
A = P * (1 - r)^t
where:
A = amount remaining after time t
P = initial amount
r = rate of decay per unit time (as a decimal)
t = time elapsed
In this case, we have:
P = 420 grams
r = 0.118 per minute
t = 16 minutes
Substituting these values into the formula, we get:
A = 420 * (1 - 0.118)^16
A ≈ 123.82 grams
Rounding this answer to the nearest tenth of a gram, we get:
A ≈ 123.8 grams
Therefore, approximately 123.8 grams of the element remain after 16 minutes.