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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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To find the median, you will need to list the data from least to greatest and find the middle number.

19, 21, 23, 23, 28, 35, 45, 46, 51, 58, 60, 67

Cross out a number on both sides until you reach the middle number. In this case, we are left with 2 numbers that are in the middle since there is an even amount of numbers. 

When you reach the time where you have two middle numbers, we have to find the average of those two numbers. Our two middle numbers are 35 and 45. Since we have to find the average of those two numbers, we can add them. (35 + 45 = 80). Now, since we have two middle numbers, we have to divide them by 2. 
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2. When  becomes  

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In this case happens the same as in the previous case. The new y-intercept is one unit less. So the graph is shifted one unit downward again.

An example is shown in Figure 1. The graph in blue is the function:

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In Figure 1 you can see that both functions increase at:

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2.3 The end behavior when the following changes are made.

It happens the same, the output is one unit less than the output of . So, you can write the points just as they were written before.

So you can realize this concept by taking a point with the same x-coordinate of both graphs in Figure 1.

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3. When  becomes  

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We need to find out the effects on the y-intercept when shifting the function  into:

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3.2. Effects on the regions where the graph is increasing and decreasing

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3.3 The end behavior when the following changes are made.

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4. When  becomes  

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3 years ago
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Since this is a right angle, we can use trig functions

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sin B = 7/8

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Answer:

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