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ira [324]
3 years ago
14

A population of 6000 animals decrease at an annual rate of 0.7%. What is the expected population in 12 years? Round your answer

to the nearest whole number.
Mathematics
1 answer:
solmaris [256]3 years ago
6 0

Answer:

The population is expected to be 5515 animals in 12 years.

Step-by-step explanation:

This problem can be solved by using a compounded interest formula with a negative interest rate, since the number of animals are decreasing. We have:

final population = initial population * (1 - r)^(t)

Where r is rate of decline and t is the time elapsed. Applying the data from the question we have:

final population = 6000*(1 - 0.007)^(12)

final population = 6000*(0.993)^12 = 5514.9582 animals

The population is expected to be 5515 animals in 12 years.

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Write the equation in standard form for the circle with center (0, – 10) and radius 6.
Artemon [7]

Answer:

Equation of circle in standard form with centre (0, – 10) and radius 6. \mathbf{x^2+(y+10)^2=36}

Step-by-step explanation:

We need to write equation of circle in standard form with centre (0, – 10) and radius 6.

The equation of circle is: (x-h)^2+(y-k)^2=r^2

where (h,k) is centre of circle and r is radius

We are given centre (0,-10) so, h=0, k=-10 and radius r = 6

Putting values and finding equation:

(x-h)^2+(y-k)^2=r^2\\(x-0)^2+(y-(-10))^2=(6)^2\\x^2+(y+10)^2=36

So, equation of circle in standard form with centre (0, – 10) and radius 6. \mathbf{x^2+(y+10)^2=36}

5 0
3 years ago
A ferry charges $30 per car plus $5 for each passenger in the car.
ad-work [718]
They have to pay the 30$ fee first then it depends on how many people are coming with you
5 0
3 years ago
Read 2 more answers
What is x^2+11x=0? im confused on what my “c value” is.
jeka94

Answer:

c=0

Step-by-step explanation:

x² + 11x + 0 = y

x² + 11x + 0 = 0

U already know that y=0 by looking at the equations above,

But your worksheet never state "c", so we will take that c is 0   (look at the equations above.)

So c is just 0.

7 0
3 years ago
The slope of the line below is -5. Which of the following is the point slope form of the line (2,-7)
tatyana61 [14]

Plugging in (2,-7) into

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Therefore, the equation is y=-5x+3

7 0
3 years ago
Which of the following is a property of all squares?
Ivanshal [37]

Answer:

Option D) is correct

That is Option D) "The diagonals bisect each other" is correct

Step-by-step explanation:

The property of all squares is

"The diagonals of a square bisect its angles" and it can be written also also as below

"The diagonals bisect each other"

Therefore Option D) is correct

That is Option D) "The diagonals bisect each other" is correct

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3 years ago
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