Answer:
The percentage rate of decay per year is of 3.25%.
The function showing the mass of the sample remaining after t is 
Step-by-step explanation:
Equation for decay of substance:
The equation that models the amount of a decaying substance after t years is given by:

In which A(0) is the initial amount and r is the decay rate, as a decimal.
Every 21 years, its mass decreases by half.
This means that
. We use this to find r, the percentage rate of decay per year.



![\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B21%5D%7B%281-r%29%5E%7B21%7D%7D%20%3D%20%5Csqrt%5B21%5D%7B0.5%7D)



The percentage rate of decay per year is of 3.25%.
Given that the initial mass of a sample of Element X is 80 grams.
This means that 
The equation is:



The function showing the mass of the sample remaining after t is 
Answer:
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Answer:
x=.5 or 1/2
Step-by-step explanation:
Answer:
all real numbers
Step-by-step explanation:
The graphs of positive and negative x^2 parabolas will always have a domain of all real numbers. Even though you only have a portion of the graph and see a "restriction" on your domain values, it is incorrect to assume that the domain is limited to what you can see. As the branches of the parabola keep going up and up and up, the values of x keep getting bigger and bigger and bigger. Again, this is true for all + or - parabolas. ....... Can consider brainlist*:)