SOLUTION: A radioactive substance has an initial mass of 100 grams and its mass halves every 4 years. Write an expression that shows the number of grams remaining after x years.
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Question 253637: A radioactive substance has an initial mass of 100 grams and its mass halves every 4 years. Write an expression that shows the number of grams remaining after x years.
I tried doing this problem by following this formula:
initial mass times [1+ (r/n)]^nt
r= rate
n= number of 'stuff' I think it is the number of time periods which the substance halves. It should be expressed by t/4.
t= time
Since the problem is a decay model isn't the rate negative? So I believe it should be -0.5.
100 [1+((-0.5/(t/4))]^t/4*t
I just get stuck here because it becomes very hairy and confusing...
You can put this solution on YOUR website! A radioactive substance has an initial mass of 100 grams and its mass halves every 4 years. Write an expression that shows the number of grams remaining after x years.
:
I would use the formula: A = Ao*2^(-x/4)
Where:
A = resulting amt
Ao = initial amt
x = no. of yrs
4 = half-life of the substance (yrs)
You can put this solution on YOUR website! A radioactive substance has an initial mass of 100 grams and its mass halves every 4 years. Write an expression that shows the number of grams remaining after x years.
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A(t) = A(0)(1/2)^(t/4)
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A(t) = 100(1/2)^(x/4)
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Cheers,
Stan H.
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