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We know that the population is declining at a rate of 14% per year.
The expression is:
N ( x ) = 206 * ( 0.86 ) ^ x
where x stays for years.
If we want to find the rate at which the population is declining per month we have to find:
And 0.9875 ≈ 0.99
There are 12 months in a year so the exponent is: x/12
Answer:
b. ( .99 ) ^ x/12
Answer:
A. number of decayed atoms = 73.197
Step-by-step explanation:
In order to find the answer we need to use the radioactive decay equation:
where:
N0=initial radioactive atoms
t=time
k=radioactive decay constant
In our case, when t=0 we have 1,000,000 atoms, so:
Now we need to find 'k'. Using the provied information that after 365 days we have 973,635 radioactive atoms, we have:
A. atoms decayed in a day:
Number of atoms decayed in a day = 1,000,000 - 999,926.803 = 73.197
B. Because 'k' represents the probability of decay, then the probability that on a given day 51 radioactive atoms decayed is k=0.0000732.