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:
I can’t get the answer because I do not have my scientific calculator.
Step-by-step explanation:
15 squared - 7 squared = A squared then add 90. Then square root for the answer!
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➷ r = k/v^2
Substitute the values in:
120 = k/1^2
Multiply both sides by 1^2 to find k
k = 120
Substitute new values in:
r = 120/10^2
Solve:
r = 1.2
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Hey there!
When you multiply across, you get the following product:
<span>
8 </span>× –<span>23 </span>× –<span>21 </span>× –<span>29
</span>–184 × –21 × –29
3864 × –29
–112,056
The sign will be negative.
Hope this helped you out! :-)<span />
The answer is 1,4. Hope that helps.