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
Box A : 8.25
Box B : 8.2
Box C : 8.225
Box D : 8.05
heaviest box is box A
Switching the hypothesis and conclusion of a conditional statement<span> and negating both. For example, the </span>contrapositive<span> of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."
It's just to negate both sides :)</span>
9w + 45 = 126
Ivan earns $9 per week so we would write it as 9w
Add 45 to it because that is what he also saved
Then he spent those savings which was 126.
Now we can find how many weeks he was saving for.
First minus 45 from both sides
9w = 126 - 45 = 81
The divide both sides by 9
w = 9
Ivan has been saving for 9 weeks
Answer:
8.062257748
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