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Question 261327: a) If a seal population grows by 8% every 6 six years, by what percentage will it grow over 30 years?
b) If a seal population declines by 8% every 6 years, by what percentage will it decline over 30 years?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a) If a seal population grows by 8% every 6 six years, by what percentage will it grow over 30 years?
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Let the population now be "x".
Equation:
After 1 yr it is x + 0.08x = 1.08x
After 6 yrs it is (1.08x) + 0.08(1.08x) = (1.08x)(1.08) = (1.08^2)x
So, after 30 years is is (1.08)^5x
Ans: (1.08)^(30/6) = (1.08)^5 = 1.4693 = 146.93%
It will grow 46.93%
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b) If a seal population declines by 8% every 6 years, by what percentage will it decline over 30 years?
Ans: (1-0.08) = (0.92)^5 = 65.9% (this is the amount of population remaining.
It will decline by (100-65.9) = 34.1%
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Cheers,
Stan H.
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