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shtirl [24]
3 years ago
7

The population of a certain animal species you are studying decreases at a rate of 3.5% per year. Only 80 of the animals in the

habitat remain after 3 years of conducting your research. What was the initial amount of animals.
Mathematics
1 answer:
Korolek [52]3 years ago
6 0

Answer:

Therefore the initial amount of animal was 89.

Step-by-step explanation:

Given that,at rate of 3.5% per year, the population of a certain animal species decreases.

The population growth formula:

A=P(1+r)^n

A= number of population after n year.

P= initial population.

n= time in year

r= rate of growth per annum.

Here A=80, P=?, n= 3 years, r= -3.5% = -0.035[ since the rate of growth decrease]

Putting the all values,

80=P(1-0.035)^3

\Rightarrow 80= P(0.965)^3

\Rightarrow P=\frac{80}{(0.965)^3}

      ≈89.

Therefore the amount of animal at its initial stage was 89.

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Mandy is building a rectangular garden pond with the area of 12ft^2. The length of pool needs to be 2 ft more than twice the wid
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The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.

Step-by-step explanation:

Given,

Area of rectangular pool = 12 square feet

Let,

Width of pool = w

Length of pool = l = 2w+2

Area = Length * Width

12=(2w+2)*w\\12=2w^2+2w\\2w^2+2w-12=0

Dividing each term by 2;

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The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.

Keywords: rectangle, area

Learn more about areas at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

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