Answer:

Step-by-step explanation:
The logistic equation is the following one:

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.
In this problem, we have that:
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that
.
The number of fish tripled in the first year. This means that
.
Using the equation for P(1), that is, P(t) when
, we find the value of r.









Applying ln to both sides.


This means that the expression for the size of the population after t years is:

600,, because if 10% is 60 all you have to do is multiply 60 times 10 to get your answer on how many children attend the middle school. 20%= 120,, 30%= 180,, 40%= 240 and so on.
Five thousands
hope this helped!
Answer:
113.04 units^2
Step-by-step explanation:
The area of a circle can be found using:

First, we need to find the radius, since we have the diameter.
<u />
<u><em>Radius</em></u>
The radius is half the diameter, or
r=d/2
We know the diameter is 12, so we can substitute that in
r=12/2 <em>Divide </em>
r=6
<u><em>Area </em></u>
Now we know the radius and can substitute it into the area formula

<em>Solve the exponent </em>

Substitute 3.14 in for pi
a=3.14*36 <em>Multiply </em>
a=113.04
We aren't given a specific unit, so we can say the area is
113.04 units^2