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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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