Respuesta :
Answer:
It will take 13.58 minutes until there are 80 grams of the element remaining
Step-by-step explanation:
An element with a mass of 990 grams decays by 16.9% per minute.
We are supposed to find how long will it be until there are 80 grams of the element remaining
Formula :[tex]N(t)=N_0(1-r)^t[/tex]
N(t)=Amount after t minutes
[tex]N_0[/tex]=Initial amount
r = rate of decrease = 0.169
t = time in minutes
Substitute the values in the formula :
[tex]80=990(1-0.169)^t[/tex]
[tex]\frac{80}{990}=0.831^t[/tex]
t=13.58
Hence It will take 13.58 minutes until there are 80 grams of the element remaining
