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Mice21 [21]
3 years ago
12

A sample of 400 grams of radioactive substance decays according to the function A(t) = 400e^-.046t, where t is the time in years

. How much of the substance will be left in the sample after 20 years? Round your answer to the nearest whole gram.
Mathematics
1 answer:
algol133 years ago
6 0

Answer: There will be 0.04 grams will be left in the sample after 20 years.

Step-by-step explanation:

Since we have given that

A(t)=400e^{-0.46t}

Here, Initial amount of radioactive substance = 400 grams

We need to find the amount of substance that will be left in the sample after 20 years.

So, t = 20 years

So, it becomes,

A(t)=400e^{-0.46\times 20}\\\\A(t)=400e^{-9.2}\\\\A(t)=0.04\ grams

Hence, there will be 0.04 grams will be left in the sample after 20 years.

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