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kotykmax [81]
3 years ago
15

Cesium chloride is a radioactive substance that is sometimes used in cancer treatments. Cesium chloride has a biological half-li

fe of 4 months. (Note: Use the concepts of half-life or doubling time. The biological half-life of a substance is the amount of time it takes for the physiologic or radiologic activity of that substance to reduce by half.)
Required:
a. Find a model for the amount of cesium chloride left in the body x months after 840 mg has been injected.
b. How long will it take for the level of cesium chloride to fall below 3%?
Mathematics
2 answers:
Natalka [10]3 years ago
5 0

Step-by-step explanation:

my workings and answers is in the image above

zepelin [54]3 years ago
3 0

Answer:

There is another approach to this problem that

might be more in line with what you are studying ..... NOTE: the first answer is correct.

Step-by-step explanation:

1 = 2x^{4}

1/2 = x^{4}

ln(1/2) = 4 ln(x)

ln(1/2)/4 = ln(x)

x = e^{-0.1732}

x = .8408

~~~~~~~~~~~~~~~~

model : 840(0.8408)^{t}

~~~~~~~~~~~~~~~~~

(.03* 840)  = 840(0.8408)^{t}

(.25.2)  = 840(0.8408)^{t}

.03 = (0.8408)^{t}

ln(.03 )=ln( (0.8408)^{t})

t = ln(.03 )/ln(0.8408 )

t = 20.22

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