Just for future reference always put ^ for exponents. The answer is y-6 though.
(y-4)(y-6) create that trinomial. You can prove that by using the FOIL algorithm
The coordinates of the other endpoint are (-8, 18)
<h2>
Hello!</h2>
The answer is:
In 2036 there will be a population of 32309 rabbits.
<h2>
Why?</h2>
We can calculate the exponential decay using the following function:
![P(t)=StartAmount*(1-\frac{percent}{100})^{t}](https://tex.z-dn.net/?f=P%28t%29%3DStartAmount%2A%281-%5Cfrac%7Bpercent%7D%7B100%7D%29%5E%7Bt%7D)
Where,
Start Amount, is the starting value or amount.
Percent, is the decay rate.
t, is the time elapsed.
We are given:
![StartAmount=144,000\\x=7.2(percent)\\t=2036-2016=20years](https://tex.z-dn.net/?f=StartAmount%3D144%2C000%5C%5Cx%3D7.2%28percent%29%5C%5Ct%3D2036-2016%3D20years)
Now, substituting it into the equation, we have:
![P(t)=StartAmount(1-\frac{percent}{100})^{t}](https://tex.z-dn.net/?f=P%28t%29%3DStartAmount%281-%5Cfrac%7Bpercent%7D%7B100%7D%29%5E%7Bt%7D)
![P(t)=144000*(1-\frac{7.2}{100})^{20}](https://tex.z-dn.net/?f=P%28t%29%3D144000%2A%281-%5Cfrac%7B7.2%7D%7B100%7D%29%5E%7B20%7D)
![P(t)=144000*(1-0.072)^{20}](https://tex.z-dn.net/?f=P%28t%29%3D144000%2A%281-0.072%29%5E%7B20%7D)
![P(t)=144000*(0.928)^{20}](https://tex.z-dn.net/?f=P%28t%29%3D144000%2A%280.928%29%5E%7B20%7D)
![P(t)=144000*(0.928)^{20}](https://tex.z-dn.net/?f=P%28t%29%3D144000%2A%280.928%29%5E%7B20%7D)
![P(t)=144000*0.861=32308.888=32309](https://tex.z-dn.net/?f=P%28t%29%3D144000%2A0.861%3D32308.888%3D32309)
Hence, we have that in 2036 the population of rabbis will be 32309 rabbits.
Have a nice day!
Answer:
V = πr²h
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
where V is the volume, r is the radius, and h is the height of the cylinder.
_____
<em>Comment on the formula</em>
This is a specific version of the formula for any sort of "prism" with parallel bases and a uniform cross section (parallel to the bases). The volume of such a figure is computed as ...
V = Bh
where B is the area of the base and h is the perpendicular distance between the parallel bases. Here, the base is a circle, so has area formula ...
B = πr²
Filling this into the volume formula gives ...
V = πr²h . . . . . as above
Interval Notation of b > 13/9 is [13/9, infinity)