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DochEvi [55]
2 years ago
3

A scientist is studying wildlife. she estimates the population of bats in her state to be 270,000. she predicts the population t

o grow at an average annual rate of 2.9%. using the scientist's prediction, create an equation that models the population of bats, y, after x years.
Mathematics
1 answer:
Nezavi [6.7K]2 years ago
8 0
Growth rate = 2.9% = 0.029

After 1 year,    y = 270000*(1 +0.029) = 270000*1.029
After 2 years, y = (270000*1.029)*1.029 = 270000*(1.029^2)

After x years, the population is
y = 270000*(1.029^x)

Answer: y =270000( 1.029^{x} )
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Answer:

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i took the test.

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23/27

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2 years ago
Henry is designing a model for a dome shaped glasshouse. He creates the model and records the horizontal distance from the edge
dolphi86 [110]

Answer:

Correct choice is B

Step-by-step explanation:

All given options represent quadratic function. Let the equation of this quadratic function be

f(x)=ax^2+bx+c.

Then

1. f(0)=2=a\cdot 0^2+b\cdot 0+c\Rightarrow c=2;

2. f(1)=7.5=a\cdot 1^2+b\cdot 1+c\Rightarrow 7.5=a+b+2;

3. f(2)=12=a\cdot 2^2+b\cdot 2+c\Rightarrow 12=4a+2b+2.

Solve the system of two equations:

\left\{\begin{array}{l}a+b+2=7.5\\4a+2b+2=12\end{array}\right.\Rightarrow\left\{\begin{array}{l}a=5.5-b\\4(5.5-b)+2b=10\end{array}\right.

Then

22-4b+2b=10,\\ \\-2b=-12,\\ \\b=6,\\ \\a=5.5-6=-0.5.

Thus, the equation of the function is

f(x)=-\dfrac{1}{2}x^2+6x+2.

Note that

f(3)=-\dfrac{1}{2}\cdot 3^2+6\cdot 3+2=-4.5+20=15.5;

f(4)=-\dfrac{1}{2}\cdot 4^2+6\cdot 4+2=18.

8 0
2 years ago
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yanalaym [24]
Given that the decay rate of the uranium is given to be 57%, this means that on the second day only 43% of the Uranium-233 will be left. The equation therefore, that will allow us to answer the question is that,
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where A(t) is the amount after n days, A(0) is the original amount, r is the decimal equivalent of the rate and n is the number of days. Substituting the known values,
                                  A(t) = (3,820 pounds)*(1-0.57)^15
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This is unfortunately not found in the choices. 
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2 years ago
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Jane surveyed the students at her school to find out if they like buns and/or noodles. The table below shows the results of the
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Well, the data you gave us is confusing, so i'm just going to say that it is the lowest percentage possible 39.1%, because by the choices given, it shouldn't be lower than that

hope this helps
4 0
2 years ago
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