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Insects-Problem

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The number of bees in a beehive is now about 5000 . In 6 hours it grows to about 6000 bees.

About how long will it take for the beehive to grow to 12000 bees?

The rate of the growth is proportional to the initial number of bees.

Find the half-life of a substance.

There is initially 100 mg of the substance.

Two hours later there is 90 mg.

=> Q1 = 100 mg and T1 = 2 hours

=> Q2 = 90 mg and Q3 = 45 mg

K = (ln-90 - ln-100)/2 = -.052680257

T = (ln-45 - ln-90)/K = 13.157 hours = Half-Life of substance

Carbon 14 Dating Problem (Carbon-14 Half-Life = 5730 Years)

The amount of Carbon-14 in the sample at T2 = 0 is the unknown

=> Q1 = 1 and T1 = 5730

and Q2 = .5 => Half for Half-Life

Q3 = Amount of Carbon-14 still in the sample = 5 grams

=> K = - .000120968

And T2 = - 19034.64798 Years

*** This is a different question ***

The Half-Life of Sodium-24 is 14.9 hours.

How many grams of a 40 gram sample of

Sodium-24 will be left
after 24 hours?