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Anit [1.1K]
3 years ago
11

A population of caribou in a forest grows at a rate of 2% every year. If there are currently 273 caribou, which function represe

nts the number of caribou in the forest in t years?
A.
C(t) = 273(0.98)t
B.
C(t) = 273(1.02)t
C.
C(t) = (273)(1.02)t
D.
C(t) = 273(0.02)t
Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

Step-by-step explanation:

D

C (t)= 273 (0.02)t

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Answer:

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Step-by-step explanation:

The formulas for volume of a cone and a cylinder can be used to find the radius of the silo. Then the formula for the circumference of a circle can be used to find the circumference.

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<h3>radius from volume</h3>

The total volume of the silo is the sum of the volumes of a cylinder of height (15 -6) = 9 ft, and a cone of height 6 ft. Both have the same radius: r. The total volume is given as 132 ft³.

  V = πr²h + 1/3πr²h' . . . . . . h = cylinder height, h' = cone height

  132 ft³ =  πr²(9 ft +1/3(6 ft)) = πr²(11 ft)

  r² = 132 ft³/(11π ft) = 12/π ft²

  r = √(12/π) ft = 2√(3/π) ft

<h3>circumference from radius</h3>

Then the circumference of the silo is ...

  C = 2πr = 2π(2√(3/π)) ft = 4√(3π) ft ≈ 12.28 ft

The circumference of the base of the silo is 4√(3π), about 12.28 feet.

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