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167.07. explain I think so but it will help you

9.24 days does it take 500 grams of the isotope to decay to 250 grams.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

Given that

The isotope thulium-167 is used in laser scans for medical treatments

The rate of decay is 0.075

The isotope thulium-167 is used in laser scans for medical treatments.

If we started with 500 grams then we are looking for when only 250 grams are left so

y = y₀e^(-0.075t)

y₀ represents the initial amount of radioactive material

250 = 500e^(-0.075t)

0.5 = e^(-0.075t)  

Now take the natural log of both sides which gives us,

ln0.5 = -0.075t

t = ln0.5/(-0.075)

t = 9.24 days

Hence, 9.24 days does it take 500 grams of the isotope to decay to 250 grams.

Learn more about Arithmetic operations here:

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