A function m(t)= m₀e^(-rt) that models the mass remaining after t years is; m(t) = 27e^(-0.00043t)
The amount of sample that will remain after 4000 years is; 4.8357 mg
The number of years that it will take for only 17 mg of the sample to remain is; 1076 years
<h3>How to solve exponential decay function?</h3>
A) Using the model for radioactive decay;
m(t)= m₀e^(-rt)
where;
m₀ is initial mass
r is rate of growth
t is time
Thus, we are given;
m₀ = 27 mg
r = (In 2)/1600 = -0.00043 which shows a decrease by 0.00043
and so we have;
m(t) = 27e^(-0.00043t)
c) The amount that will remain after 4000 years is;
m(4000) = 27e^(-0.00043 * 4000)
m(4000) = 27 * 0.1791
m(4000) = 4.8357 mg
d) For 17 mg to remain;
17 = 27e^(-0.00043 * t)
17/27 = e^(-0.00043 * t)
In(17/27) = -0.00043 * t
-0.4626/-0.00043 = t
t = 1076 years
Read more about Exponential decay function at; brainly.com/question/27822382
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Your answer will be 1 19/20
hope this helps
Answer:
T3+E11
Step-by-step explanation:
I put this on a test and im sorry if im wrong lol.
HOPE I HELPED.
if i did maybe i can get brainlist. :)
Hi there!
The answer is
We have the following inequality.
We can divide both sides by -6, but because we divide by a negative number, we must flip the sign.
Total area of land = 1 + 1/2 = 3/2 square miles
Area of square fields = 1/4 x 1/4 = 1/16 square miles
Number of fields = (3/2) / (1/16) = 24 fields.
