Answer:
2.2 grams
Step-by-step explanation:
We can use the compound decay formula shown below to solve this:
[tex]F=P(1-r)^t[/tex]
Where
F is the final amount (what we want to find)
P is the present amount (490 grams)
r is the rate of decay, in decimal (28.6% = 28.6/100 = 0.286)
t is the time in minutes (16)
Substituting, we get:
[tex]F=P(1-r)^t\\F=490(1-0.286)^{16}\\F=490(0.714)^{16}\\F=2.2355[/tex]
So, after 16 minutes, 2.2355 grams will be remaining.
Rounded to nearest tenth of a gram (1 decimal place) = 2.2 grams remaining
