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Anastaziya [24]
3 years ago
8

Bismuth-210 has a half-life of about 5 days. After 15 days, how many milligrams of a 600 mg sample will remain?

Mathematics
2 answers:
raketka [301]3 years ago
5 0
Every 5 days the number is cut in half. So from 600 mg to day 5, the sample will be 300 mg. Then from day 5 to day 10, the sample will reduce to 150 mg. And finally, from day 10 to day 15, the sample will have reduced to:

75 mg

I hope this Helps!
Andrew [12]3 years ago
4 0

Answer:

75 milligrams.

Step-by-step explanation:

We have been given that Bismuth-210 has a half-life of about 5 days.

To solve our given problem we will use half-life formula.  

y=a\cdot(\frac{1}{2})^{\frac{t}{b}}, where,

a = Initial value,

t = Time,

b = half-life.

Upon substituting our given values in above formula we will get,

y=600\cdot(\frac{1}{2})^{\frac{15}{5}}  

y=600\cdot(0.5)^{3}  

y=600\cdot 0.125  

y=75  

Therefore, 75 milligrams of Bismuth-210 will remain after 15 days.

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