Janie’s bank pays 2.8% annual interest compounded continuously on savings accounts. She placed $3000 in the account. How much money will be in Janie’s.

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Presentation transcript:

Janie’s bank pays 2.8% annual interest compounded continuously on savings accounts. She placed $3000 in the account. How much money will be in Janie’s account 4 years after she made her deposit? Assume that she makes not additional deposits and no withdrawals. Problem of the Day

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The half-life of a radioactive substance is the time it takes for half of the atoms of the substance to disintegrate. Vocabulary

The half-life of Plutonium-239 is 24,000 years The half-life of Plutonium-239 is 24,000 years. Determine the value of k and the equation of decay for Plutonium-239. Example 1

The half-life of Sodium-22 is 2. 6 years The half-life of Sodium-22 is 2.6 years. Determine the value of k and the equation of decay for Sodium-22. Example 1

A geologist examining a meteorite estimates that it contains only about 10% as much Sodium-22 as it would have contained when it reached Earth’s surface. How long ago did the meteorite reach the surface of Earth? Example 2

A paleontologist examining the bones of a prehistoric animal estimates that they contain 2% as much Carbon-14 as they would have contained when the animal was alive. How long ago did the animal live? Example 2

A paleontologist examining the bones of a prehistoric animal estimates that they contain 2% as much Carbon-14 as they would have contained when the animal was alive. If prior research points to the animal being around 20,000 years old, how much Carbon-14 should be in the animal? Example 2

p.513 #1, 4, 23 – 25 Homework

A radioactive element decays exponentially according to the equation 𝑦=𝑎 𝑒 −0.04463𝑡 , where t is in days. Find the half-life of this element. Problem of the Day