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Shtirlitz [24]
3 years ago
9

In 2000 there were 100 rabbits in Central Park the population increased by 16% each year ? Write a function to illustrate the si

tuation. How many rabbits were in Central Park in 2005 . Predict how many rabbits there will be at the end of this year we are in 2018?
Mathematics
1 answer:
algol [13]3 years ago
4 0
This would be an exponential growth formula which uses the formula:
 total = starting number x (1+ percent of change)^time

from the problem the starting number is 100 rabbits

percentage of change is 16% which = 0.16 as a decimal

time is number of years so 2018 - 2000 = 18 years

put those numbers into the formula to get:

 total = 100 x (1+0.16)^18

 total = 1,446 rabbits



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We have two points describing the diameter of a circumference, these are:

\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}

Recall that the equation for the standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

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On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

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\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}

Therefore, the equation for the standard form of a circle is:

\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}

In conclusion, the equation is the following:

(x+8)^2+(y+7)^2=25

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