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Dima020 [189]
2 years ago
9

Shortly after their arrival, Europeans began introducing pigs to the Americas as a source of food. Some escaped, and others were

intentionally released into the wild,
where they thrived. Assume that the wild pig population is modeled by the
formula P = P0•(1.2)^t .If there were five million wild pigs in 2010 (no one really knows the exact number), what was the population of wild pigs in 2000?

Mathematics
1 answer:
natka813 [3]2 years ago
7 0

Answer: About 800 thousand

The more accurate value is 807,528 but this is also an approximation.

=======================================================

Work Shown:

t = \text{number of years since the year 2000}

P_0 = \text{population (in millions) in the year 2000}

P = P_0(1.2)^t\\\\5 = P_0(1.2)^{10}\\\\5 \approx P_0*6.1917364224\\\\P_0 \approx \frac{5}{6.1917364224}\\\\P_0 \approx 0.80752791444922\\\\P_0 \approx 0.807528\\\\

That's the rough population of wild pigs (in millions) for the year 2000.

Multiply by 10^6 to get it in terms of units instead.

0.807528\times10^6 = 807,528

There were roughly 800 thousand wild pigs in the year 2000.

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Step-by-step explanation:

Given that :

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r = h/2

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V = \dfrac{\pi r^2 h}{3}

V = \dfrac{\pi (h/2)^2 h}{3}

V = \dfrac{1}{12} \pi h^3

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Taking the differentiation of volume V with respect to time t; we have:

\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}

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So;we have:

20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}

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