Answer:
4.2 years
Step-by-step explanation:
20000(.071)t ≤ 500(12)
1420t ≤ 6000
t = 4.2
Doubling formula is this:
![P(t)=P(2)^{\frac{t}{d}}](https://tex.z-dn.net/?f=P%28t%29%3DP%282%29%5E%7B%5Cfrac%7Bt%7D%7Bd%7D%7D)
where P=initial number of rabbits
t=time
d=time it takes to doulbe
ok, so 4 weeks is the doubling time so that is 4*7=28 days
we wawnt time=98
and oroiginal number of rabbits is 5 so
![P(98)=5(2)^{\frac{98}{28}}](https://tex.z-dn.net/?f=P%2898%29%3D5%282%29%5E%7B%5Cfrac%7B98%7D%7B28%7D%7D)
![P(98)=5(2)^{3.5}](https://tex.z-dn.net/?f=P%2898%29%3D5%282%29%5E%7B3.5%7D)
![P(98)=5(2^3)(\sqrt{2})](https://tex.z-dn.net/?f=P%2898%29%3D5%282%5E3%29%28%5Csqrt%7B2%7D%29)
![P(98)=5(8)\sqrt{2}](https://tex.z-dn.net/?f=P%2898%29%3D5%288%29%5Csqrt%7B2%7D)
![P(98)=40\sqrt{2}](https://tex.z-dn.net/?f=P%2898%29%3D40%5Csqrt%7B2%7D)
so P(98)≈56.56
we can't have .56 rabbit so round down or up
about 56 or 57 rabbits in 98 days
I can't really answer that. Sorry. But I know a YouTube account that can help you. Search up L. Moon and it will show you a list of videos.
B, 7.8 & 7.9; Since the square root of 61 is 7.81024, then that means it would lie just above 7.8 in the number line.