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zlopas [31]
3 years ago
5

Rabbit populations can double every 30 days. If there are 26 rabbits on a farm, how many rabbits will be on the farm after 240 d

ays?
Please use the equation: Future Amount + [ ](1+__)^[ ]
Mathematics
1 answer:
Nikolay [14]3 years ago
6 0

Answer:

6656

Step-by-step

Future Amount = [ ](1+__)^[ ]

a₀ = 26

a₁ = 26 * 2 = 26 * (1+1)¹ = 26 * 2 = 52

a₂ = 26 * (1+1)² = 26 * 2² = 26 * 4 = 104    (52*2)

.....

a₈ = 26 * (1+1)⁸ = 26 * 2⁸ = 26 * 256 = 6656

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A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec
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Answer: Maximum height =  105 feet

And, It takes 9/4 seconds to reach that point.

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Again differentiating above equation with respect to t,

We get,   h''(t) = -32

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- 32 t + 72 = 0

32 t = 72

t = \frac{9}{4}

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h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24

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