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anonymous

  • 5 years ago

2) The population P in 1996 for a state is given along with r, its annual % rate of continuous growth P=8 Millions, r = 2.2% Estimate the population in 2017 = ?

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  1. anonymous
    • 5 years ago
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    \[P(t) = Po(1-r)^t \]\[P(t) = 8(1-0.022)^t \]\[P(t) = 8 (0.978)^t \]\[P(2017-1996) = 8(0.978)^{2017-1996}\]

  2. anonymous
    • 5 years ago
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    so the population in 2017 is?

  3. anonymous
    • 5 years ago
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    you tell me ^^

  4. anonymous
    • 5 years ago
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    \[8(0.978)^{21}\]

  5. anonymous
    • 5 years ago
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    oh I see now

  6. anonymous
    • 5 years ago
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    1) In 2000 the population of a state was 4 million and growing continuously at a rate of 3.4% per year. Estimate the state’s population in 2005 = ?

  7. anonymous
    • 5 years ago
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    how would I do this one?

  8. anonymous
    • 5 years ago
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    same way... you have Po = 4 million, r = (3.4)/100 and t = 2005 - 2000

  9. anonymous
    • 5 years ago
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    so I would have 4(3.4/100)^5

  10. anonymous
    • 5 years ago
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    sorry i typed the fomula wrong instead of - it's +\[P(t)=Po(1+r)^t\]

  11. anonymous
    • 5 years ago
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    almost you'd have \[P(t)=4(1+{3.4 \over 100})^5\]

  12. anonymous
    • 5 years ago
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    don't forget to add 1 to the rate r

  13. anonymous
    • 5 years ago
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    oh ok thank you

  14. anonymous
    • 5 years ago
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    np

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