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miv72 [106K]
2 years ago
10

The populations P (in thousands) of a certain town in North Carolina, from 2006 through 2012 can be modeled by

Mathematics
2 answers:
DaniilM [7]2 years ago
6 0
Look it up on Google hope this helps :)
scoundrel [369]2 years ago
4 0

Answer:

  • k= 0.8936
  • P = 53198890

Step-by-step explanation:

<u>In 2008</u>

  • t = 8
  • P= 7000

<u>As per equation, P = 5.5e^kt</u>

  • 7000 = 5.5e^(8k)
  • e^(8k) = 7000/5.5
  • e^(8k) = 1272.7272
  • ln e^8k = ln 1272.7272
  • 8k = 7.14891
  • k= 7.14891/8
  • k= 0.8936

<u>In 2018, t= 18, k= 0.8936</u>

  • P = 5.5e^(18*0.8936)
  • P = 53198890
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Step-by-step explanation:

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<h3>Vertex</h3>

The vertex is the low point of the graph. The graph is horizontally symmetrical about this point. On this graph, the vertex is (3, -1).

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<h3>X-intercepts</h3>

The x-intercepts are the points where the graph crosses the x-axis. You will notice they are symmetrically located about the vertex. On this graph, the x-intercepts are (2, 0) and (4, 0).

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<em>Additional comment</em>

The reminder that these are "points" is to ensure that you write both coordinates as an ordered pair. We know the x-intercepts have a y-value of zero, for example, so there is a tendency to identify them simply as x=2 and x=4. This problem statement is telling you to write them as ordered pairs.

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