Question

The radioactive substance cesium-137 has a half-life of 30 years. The amount $A(t)$ (in grams) of a sample of cesium-137 remaining after $t$ years is given by the following exponential function. $A(t) = 862 \left(\frac{1}{2}\right)^{\frac{t}{30}}$ Find the initial amount in the sample and the amount remaining after 80 years. Round your answers to the nearest gram as necessary. Initial amount: 862 grams Amount after 80 years: grams

          The radioactive substance cesium-137 has a half-life of 30 years. The amount $A(t)$ (in grams) of a sample of cesium-137 remaining after $t$ years is given by the following exponential function.
$A(t) = 862 \left(\frac{1}{2}\right)^{\frac{t}{30}}$
Find the initial amount in the sample and the amount remaining after 80 years.
Round your answers to the nearest gram as necessary.
Initial amount: 862 grams
Amount after 80 years: grams

The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams) of a sample of cesium-137 remaining after t years is given by the following exponential function.
A(t) = 862 ((1)/(2))^(t)/(30)
Find the initial amount in the sample and the amount remaining after 80 years.
Round your answers to the nearest gram as necessary.
Initial amount: 862 grams
Amount after 80 years: grams

Added by Jennifer B.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Joy Squicciarini

06/14/2022

Step 1

We are given that the half-life of cesium-137 is 30 years. This means that after every 30 years, the amount of cesium-137 remaining will be halved. Show more…

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Texts: The radioactive substance cesium-137 has a half-life of 30 years. The amount of 4 grams of a sample of cesium-137 remaining after t years is given by the following exponential function. Find the initial amount in the sample and the amount remaining after 30 years. Round your answers to the nearest gram as necessary. Initial amount: X grams Amount after 30 years: X/2 grams