Answer:
1
Step-by-step explanation:
16-9=5t+2t
7=7t
1=t
Answer:
The equation is
.
0.4713 grams would remain in the tumor after 8.5 days.
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance that decays, after t days, is given by:
![A(t) = A(0)*(1-r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%2A%281-r%29%5Et)
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A tumor is injected with 0.52 grams of Iodine-125.
This means that ![A(0) = 0.52](https://tex.z-dn.net/?f=A%280%29%20%3D%200.52)
After 1 day, the amount of Iodine-125 has decreased by 1.15%.
This means that ![r = 0.0115](https://tex.z-dn.net/?f=r%20%3D%200.0115)
So
![A(t) = A(0)*(1-r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%2A%281-r%29%5Et)
![A(t) = 0.52*(1-0.0115)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%200.52%2A%281-0.0115%29%5Et)
![A(t) = 0.52*(0.9885)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%200.52%2A%280.9885%29%5Et)
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.
This is A(8.5).
![A(t) = 0.52*(0.9885)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%200.52%2A%280.9885%29%5Et)
![A(8.5) = 0.52*(0.9885)^{8.5} = 0.4713](https://tex.z-dn.net/?f=A%288.5%29%20%3D%200.52%2A%280.9885%29%5E%7B8.5%7D%20%3D%200.4713)
0.4713 grams would remain in the tumor after 8.5 days.
There would be 390,221 adults because 538,381 - 148,170 = 390,221
THe answe is 6x squared on the number line
1.44! If it’s not please let me know and I’ll try again :)