The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams) of a sample of cesium-137 remaining after t years is given by the following exponential function.

=A(t)266(1/2)^t/30

Find the initial amount in the sample and the amount remaining after 80 years. Round your answers to the nearest gram as necessary.

Question

The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams) of a sample of cesium-137 remaining after t years is given by the following exponential function.

=A(t)266(1/2)^t/30

Find the initial amount in the sample and the amount remaining after 80 years. Round your answers to the nearest gram as necessary.

anonymous · Answer

i believe that u mean:
A(t) = 266*(1/2)^(t/30), right?

anonymous · Answer

the initial amount is when t = 0, so just plug it in the equation above and find A(t=0).
Now the amount after 80 years, juts plug t = 80 and find A(t=80).

anonymous · Answer

I got it! Thank you :-)

anonymous · Answer

Np