MATHEMATICS HIGH SCHOOL

Chromium-51 has a half-life of 28 days. If Georgia leaves a bottle of 10,000-milligram capsules in her medicine cabinet for a year, what will be the strength in milligrams of each capsule? Round to the nearest milligram

Answers

Answer 1

Answer:

For finding the strength of the capsules after one year, we will use half-life formula. The formula is:

A = A₀ $((1)/(2))^(t)/(h)$

where, A= Final amount

A₀ = Initial amount

t= time elapsed

h= half-life

Here, in this problem A₀ = 10000 milligram, t= 1 year or 365 days

and h= 28 days

So, A = 10000 $((1)/(2) )^(365)/(28)$

⇒ A = 10000 $((1)/(2))^1^3^.^0^4$

⇒ A = 1.187

So, the strength of the capsules after one year will be 1.187 milligrams.

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On Monday at the county fair , Jared played a game and won 75 tickets . On Tuesday , he won 105 tickets on Wednesday , he won 127 tickets , but the spent 250 of them on a prize . How many more tickets does Jared need to win a prize that costs 150 tickets ?

Answers

Answer: 93

Step-by-step explanation:

75+105+127= 307

307-250= 57

150-57= 93 (57 + 93 = 150)

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