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miv72 [106K]
3 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]3 years ago
6 0
Look it up on Google hope this helps :)
scoundrel [369]3 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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Part 1. Please show work. Please assist me with these math problems. ​
Vitek1552 [10]

Answer: 1) 2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784

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<u>Step-by-step explanation:</u>

S_n=S_{n-2}\cdot (S_{n-1}-1)\quad \\\\S_1=2\quad given\\S_2=3\quad given\\S_3=S_1(S_2-1)\quad =2(3-1)\quad =4\\S_4=S_2(S_3-1)\quad =3(4-1)\quad =9\\S_5=S_3(S_4-1)\quad =4(9-1)\quad =32\\S_6=S_4(S_5-1)\quad =9(32-1)\quad =279\\S_7=S_5(S_6-1)\quad =32(279-1)\quad =8,896\\S_8=S_6(S_7-1)\quad =279(8896-1)\quad =2,481,705\\S_9=S_7(S_8-1)\quad =8896(2481705-1)\quad =22,077,238,784

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                        S₂ - S₁          S₃ - S₂           S₄ - S₃      

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