Li Nguyen
08/27/2024 · Primary School
The radioactive substance uranium- 240 has a half-life of 14 hours. The amount \( A(t) \) of a sample of uranium-240 remaining (in grams) after \( t \) hours is given by the following exponential function. \[ A(t)=1500\left(\frac{1}{2}\right)^{\frac{t}{14}} \] Find the initial amount in the sample and the amount remaining after 30 hours. Round your answers to the nearest gram as necessary. Initial amount: Amount after 30 hours: \( \square \) grams
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- Initial amount: 1500 grams
- Amount after 30 hours: 341 grams
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