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Airida [17]
3 years ago
8

A population of 30 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain 600 deer. The p

opulation would grow by 30 percent per year
Mathematics
1 answer:
Ksju [112]3 years ago
4 0

Complete question :

A population of 30 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain 600 deer. The population would grow by 30 percent per year

how many after one year

how many after two years

Answer:

39 deers

51 deers

Step-by-step explanation:

The question can be expressed using the compounding rate formula:

A = P(1+r)^t

A = final population ; P = initial population ; rate, r = 30% = 0.3 ; t = time

After 1 year, t = 1

A = 30(1 + 0.3)^1

A = 30(1.3)^1

A = 39 deers

B.)

After 1 year, t = 2

A = 30(1 + 0.3)^2

A = 30(1.3)^2

A = 50.7

A = 51 deers approximately

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dezoksy [38]

Answer: r = 4 sec θ

Explanation: Using: x = r cos θ then r cos θ = 4 ⇒ r = 4 cos θ = 4 sec θ

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3 years ago
at a book fair, Joe bought 24 books at 3 for $5 and had $2 left. How much money did he have at first?
wel

Answer: $42 maybe?



Step-by-step explanation:


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4 years ago
Read 2 more answers
Write the standard equation of the circle with center (– 10, –3) that passes through the point (-3,3).
Sphinxa [80]

Answer:

(x+10)^2 + (y+3)^2 = 85

Step-by-step explanation:

Equation of a circle:

The standard equation of a circle with center (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which r is the radius.

Center (– 10, –3)

This means that x_0 = -10, y_0 = -3. So

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - (-10))^2 + (y - (-3))^2 = r^2

(x+10)^2 + (y+3)^2 = r^2

Passes through the point (-3,3).

This means that we use x = -3, y = 3 to find the radius squared. So

(x+10)^2 + (y+3)^2 = r^2

(-3+10)^2 + (3+3)^2 = r^2

r^2 = 49 + 36

r^2 = 85

The equation of the circle is:

(x+10)^2 + (y+3)^2 = r^2

(x+10)^2 + (y+3)^2 = 85

7 0
3 years ago
Solve the following system of equations: y=6-x<br> y=x^2-6x+6
nevsk [136]

Answer:

(0, 6 ) and (5, 1 )

Step-by-step explanation:

Given the 2 equations

y = 6 - x → (1)

y = x² - 6x + 6 → (2)

Substitute y = x² - 6x + 6 into (1)

x² - 6x + 6 = 6 - x ( subtract 6 - x from both sides )

x² - 5x = 0 ← factor out x from each term on the left side

x(x - 5) = 0

Equate each factor to zero and solve for x

x = 0

x - 5 = 0 ⇒ x = 5

Substitute these values into (1) for corresponding value of y

x = 0 : y = 6 - 0 = 6 ⇒ (0, 6 )

x = 5 : y = 6 - 5 = 1 ⇒ (5, 1 )

4 0
3 years ago
The base of a rectangle is 4ft and the height is 12 in. what is the formula for the perimeter
Trava [24]

The perimeter is the continuous line forming the boundary of a closed geometrical figure.i.e. sum of all the outside sides

In rectangle , there are two Height and 2 breadth

So, perimeter of rectangle = Height +Height + Breadth + Breadth

Perimeter of Rectangle = 2 Height + 2 Breadth

Perimeter of Rectangle = 2 ( Height + Breadth )

In the given question we have : Height = 12 in, Breadth =4 ft

Here the Standard Unit of Height and Breadth are different

Convert Height = 12 in into feet

1 feet = 12 inch

So, 12 in = 1 ft

Height = 12in = 1 ft

Thus, we have now : Height = 1 ft, Breadth =4 ft

Substitute the value in expression of perimeter :

Perimeter of Rectangle = 2 ( Height + Breadth )

Perimeter of Rectangle = 2 ( 1 + 4 )

Perimeter of Rectangle = 2 ( 5 )

Perimeter of Rectangle = 10 ft

Answer : Perimeter of Rectangle is 10 ft

Formula of Perimeter is 2 ( Height + Breadth )

7 0
2 years ago
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