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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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solniwko [45]
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Hope this helped.
3 0
3 years ago
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Harry rode 2 1/2 miles on his bike yesterday. He rode 1 3/4 miles on his bike today. If he plans to ride 6 miles this week on hi
aksik [14]

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1 3/4 miles

Step-by-step explanation:

2 1/2+ 1 3/4= 4 1/4

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3 0
2 years ago
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2.
Gekata [30.6K]

Answer:

A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm

Step-by-step explanation:

This is a geometric sequence.

a%5B1%5D=1.5m=150cm, r=0.74

The formula is

a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29

Just substitute a1 = 150cm and r = 0.74

a%5Bn%5D=150%280.74%29%5E%28n-1%29

That's the rule.

For the second part, substitute n = 6

cm.

7 0
2 years ago
Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many h
ra1l [238]

B, 2 5/8.

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3 0
3 years ago
If f'(x) = 12x^3 - 2x^2 - 17 and f(1) = 8 , find f(x).
Cloud [144]

Answer:

f(x) =  3x⁴ - \frac{2X^{3} }{3} - 17x +  \frac{68}{3}

Step-by-step explanation:

To find f'(x), we will follow the steps below:

We will start by integrating both-side of the equation

∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx

f(x)  = 3x⁴ - \frac{2X^{3} }{3} - 17x + C

Then we go ahead and find C

f(1) = 8

so we will replace x by 1 in the above equation and solve for c

f(1)  = 3(1)⁴ - \frac{2(1)^{3} }{3} - 17(1) + C

8 = 3 - \frac{2}{3} - 17 + C

C =8 - 3 + 17 + \frac{2}{3}

C = 22 +  \frac{2}{3}

C =\frac{66 + 2}{3}

C = \frac{68}{3}

f(x) =  3x⁴ - \frac{2X^{3} }{3} - 17x +  \frac{68}{3}

7 0
3 years ago
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