Johnny bought 6 movie tickets and spent $54, of the tickets he bought 3/6 were children's tickets that cost $8 each. The other t
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The amount of water left = 21.3 gallons.
We have a leaking pond which looses 18 gallons of water in 34 hour.
We have to determine how many gallons of water will be left after 41 hours.
<h3>What do you understand by gallon?</h3>The gallon is a unit of volume in imperial units and United States customary units.
I gallon = 231 cubic inches = 3.785411784 liters.
According to question, we have -
Amount of water lost by the pond in 34 hours = 18 gallons
Therefore -
Amount of water lost by the pond in 1 hour =
So, the amount of water loosed by the pond in 41 hours = = 21.3
Hence, the amount of water left = 21.3 gallons.
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To solve this question we will use two important formulas.
The first formula involves the calculation of the decay constant, which is to be found as:
where is the half life of Pb-210 which is given to be 22 years in the question.
Thus,
Now, we will use the second formula which is called the function of decay formula and is given as:
where percentage of Pb-210 remaining in the bone at present, which in our case is 67% or 0.67
percentage of Pb-210 to start with, which is always 100% or 1.
Plugging in all these values in the decay formula we are supposed to find the time, .
Taking natural log on both sides we get:
years
Therefore the bone fragment is about 12.71 years old.