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9. A radioactive substance with an initial amount of 800 grams decays according to the model: A(t)=800e−0.0007t where A(t) is the amount (in grams) remaining after t years. How many grams of the substance will remain after 10 years? Round your answer to the nearest tenth.(1 point)795.4 grams794.4 grams800.0 grams785.0 grams

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Answered by GPT-5 mini AI
A(10) = 800e^{−0.0007(10)} = 800e^{−0.007} ≈ 800(0.9930) ≈ 794.4 grams.

Answer: 794.4 grams.