Answer:
P(t) = 27000 * (1/9)^(t/4)
Step-by-step explanation:
This problem can me modelled with an exponencial formula:
P = Po * (1+r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.
So, our function will be:
P(t) = 27000 * (1-8/9)^(t/4)
P(t) = 27000 * (1/9)^(t/4)
If the 2 given points are endpoints, then we're in business. The formula for the midpoint is
. If the endpoints of our segment are the coordinates (1,2) and (12,14), our formula would be filled in as follows:
which simplifies to (13/2, 8). See? It's pretty simple once you know how to do it.
Answer:
(-infinity,+infinity)
Step-by-step explanation:
Domain refers to the x-axis. So if we look from left to right along the x-axis we could conclude that the function will go infinitley from negative infinite to positive infinity.
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