Answer: 15.1 gram
Step-by-step explanation:
The exponential decay equation with rate of decay r in time period t is given by :-
[tex]f(x)=A(1-r)^t[/tex], A is the initial value .
Given: The initial mass of element= 730 grams
Rate of decay= 27.6%=0.276
Thus, the function represents the amount of element after t minutes is given by ;-
[tex]f(x)=730(1-0.276)^x\\\\\Rightarrow\ f(x)=730(0.724)^x[/tex]
Now, the function represents the amount of element after 12 minutes is given by ;-
[tex]f(x)=730(0.724)^{12}\\\\\Rightarrow\ f(x)=15.1420841187\approx15.1\text{ grams}[/tex]
Hence, 15.1 grams of element remains after 12 minutes.
