Answer: The person will weight approx. 625 N.
Explanation: in the attachment :3
Sodium 24 has a half-life of approximately 15 hours. Consider a sample of 100 milligrams.
Write an equation to determine the number of milligrams remaining after t days. Show all work.
How many milligrams are remaining after 45 hours? Show all work.
How long will it be until there are 5 milligrams remaining? Show all work.
The decay equation is: N(t) = [tex]N0 * (1/2)^(t/T),[/tex] where N0 is the initial amount, T is the half-life, and t is time.
How to find the milligrams are remaining after 45 hoursFor 45 hours, t = 45/24 = 1.875 days.
Plug values into the equation:
N(1.875) = [tex]100 * (1/2)^(1.875/0.625)[/tex]
= [tex]100 * (1/2)^3[/tex] = 12.5 milligrams.
To find when there are 5 milligrams left,
5 = [tex]100 * (1/2)^(t/0.625).[/tex]
Solving for t: t = 0.625 * log2(100/5)
= 0.625 * 4.322 = 2.70 days.
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