Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
![A(t) = A(0)(1 - r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20-%20r%29%5Et)
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- The bottle initially contained 450,000 tritium atoms, hence A(0) = 450000.
- The amount decays by about 5% per year, hence r = 0.05.
Thus, the equation is given by:
![A(t) = A(0)(1 - r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20-%20r%29%5Et)
![A(t) = 450000(1 - 0.05)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20450000%281%20-%200.05%29%5Et)
![A(t) = 450000(0.95)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20450000%280.95%29%5Et)
After 11 years, the amount is given by:
![A(11) = 450000(0.95)^{11} = 255960](https://tex.z-dn.net/?f=A%2811%29%20%3D%20450000%280.95%29%5E%7B11%7D%20%3D%20255960)
The bottle contains 255,960 atoms of tritium after 11 years.
More can be learned about exponential functions at brainly.com/question/25537936
Answer:
- C. Consecutive interior angles are supplementary
Step-by-step explanation:
Andrew calculated it correctly
Angles 110 and x are supplementary as consecutive interior angles
- 110 + x = 180
- x = 180 - 110
- x = 70
Correct choice is C
The answer is
G=105. I know this because look at the picture lol. You're welcome though.
Answer:
y=3/1x+7
Step-by-step explanation:
Hope this helps
Answer:
C
Step-by-step explanation:
Convert the equation into slope intercept form : y=mx+b
2y=x+4
y=1/2x + 2
The m is the slope and the b is the y intercept
In this equation, the slope is 1/2 and the y intercept is 2
The only graph with y intercept 2 is C