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Sagot :

9514 1404 393

Answer:

  16 mg

Step-by-step explanation:

The decay of the sample can be modeled by ...

  y = a·b^t

where y is the mass of the sample t years after 1990.

We are given that ...

  440 = a·b^0   ⇒   a = 440

  40 = 440·b^8   ⇒   b = (40/440)^(1/8) ≈ 0.741013

Then in 2001, t=11 and the mass is modeled to be ...

  y = 440·0.741013^11 ≈ 16.3 . . . mg

The expected mass in the year 2001 is 16 mg.