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Sagot :
The mass of the radioactive sample after 5 hours is 1471g
An exponential function is the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the mass of sample remaining after x hours.
Given an initial 2952g sample, hence a = 2952.
Also, there is a decay of 13% per hour, hence:
b = 100% - 13% = 87% = 0.87
The equation becomes:
y = 2952(0.87)ˣ
After 5 hours:
y = 2952(0.87)⁵
y = 1471g
The mass of the radioactive sample after 5 hours is 1471g
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