The half -life of carbon-14 is 5,730 years.how much of an initial amount of this substance would remain after 17,190 years(3 Half-lifes
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To determine how much of an initial amount of carbon-14 would remain after 17,190 years (3 half-lives), you can use the formula:
Amount remaining = Initial amount * (1/2)^(number of half-lives)
In this case, the number of half-lives is 3, and the initial amount is the value you want to find.
Let's solve the equation step by step:
1) Start by substituting the given values into the formula:
Amount remaining = Initial amount * (1/2)^(3)
2) Since we are trying to find the initial amount, we rearrange the equation to isolate it:
Initial amount = Amount remaining / (1/2)^(3)
3) Calculate the value of (1/2)^(3):
(1/2)^(3) = 1/8 = 0.125
4) Substitute this value back into the equation:
Initial amount = Amount remaining / 0.125
5) Divide the amount remaining by 0.125 to find the initial amount:
Initial amount = Amount remaining / 0.125
So, to determine the initial amount remaining after 17,190 years or 3 half-lives, divide the amount remaining by 0.125.