Math  /  Algebra

QuestionThe radioactive substance uranium- 240 has a half-life of 14 hours. The amount A(t)A(t) of a sample of uranium-240 remaining (in grams) after tt hours is given the following exponential function. A(t)=1200(12)t14A(t)=1200\left(\frac{1}{2}\right)^{\frac{t}{14}}
Find the amount of the sample remaining after 11 hours and after 40 hours. Round your answers to the nearest gram as necessary.
Amount after 11 hours: \square grams
Amount after 40 hours: \square grams

Studdy Solution
After 11 hours, there are approximately **704 grams** of uranium-240 remaining.
After 40 hours, there are approximately **172 grams** remaining.

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