A population of 50 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 500 deer. Absent constraints, the population would grow by 40% per year.

Estimate the population after one year

p1 =


Estimate the population after two years

p2=

Answers

Answer 1

Answer:

p1 = 70 deer

p2 = 98 deer

Step-by-step explanation:

We use the population growth expression:

[tex]N(t)=N_0\,(1+r)^t[/tex]

which in our case renders:

[tex]N(t)=N_0\,(1+r)^t\\N(t)=50\,(1+0.4) ^t\\N(t)=50\,(1.4) ^t[/tex]

Therefore, after 1 year the population would be:

[tex]N(1)=50\,(1.4) ^1=70[/tex]

giving a total of 70 deer

and after two years, it would be:

[tex]N(2)=50\,(1.4) ^2=98[/tex]


Related Questions

Which of the following is a true statement about the rhombus shown

Answers

Answer:

Option D is the correct answer

Step-by-step explanation:

Since, diagonals of a rhombus bisects at right angles.

[tex]\therefore m\angle STP = 90\degree \\ [/tex]

9514 1404 393

Answer:

  D)  m∠STP = 90°

Step-by-step explanation:

In general, the diagonals of a rhombus are different lengths and the corner angles are not 90°. (The exception in both cases is when the rhombus is a square.)

However, it is always true that the diagonals are perpendicular bisectors of each other, so all angles at T are 90°.

  m∠STP = 90°

What is (8 - i) + (5 + 7i)?
O (A) 3 - 8i
O (B) 8i - 3
O (C)-5i
O (D) 13 + 61

Answers

Answer:

13 + 6i

Step-by-step explanation:

expand the brackets (basically drop them), then rearrange the numbers (8 + 5 + 7i - i) then you will get your answer.

I just want ppl to check, extra points too!

Answers

Answer:

thats correct

Step-by-step explanation:

i had that on my test and i ot it right

if a model of an airplane is 1/16 scale (1 in.= 16ft), how many inches long would the model be if a certain airplane were 48 ft long? ​

Answers

Answer:

3inchs

Step-by-step explanation:

So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3


In a recent game, Syler played 4 minutes of each period. The four periods
are each 16 minutes. What fraction of the game did Syler play? Can you
represent it as a percentage

Answers

Answer: 25%

Step-by-step explanation:

What description is correct for the polynomial 4x*2 + 3x -2

Answers

Answer:

it is a 2nd degree trinomial

Step-by-step explanation:

the highest power is the power two, and it has three parts

9 1/12 = k/9 Solve for K

Answers


k/9-1=12

We move all terms to the left:

k/9-1-(12)=0

We add all the numbers together, and all the variables

k/9-13=0

We multiply all the terms by the denominator


k-13*9=0

We add all the numbers together, and all the variables

k-117=0

We move all terms containing k to the left, all other terms to the right

k=117



Hope this helps ya :) k= 81.75

The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many seconds does it take light to travel from Sirius to Earth? Write your answer in scientific notation, rounded to the nearest hundredth.

Answers

Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per n seconds

- Need to solve for n

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

[tex]\frac{1.86 * 10^5}{1}[/tex] = [tex]\frac{5.062 * 10^1^3}{n}[/tex]

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

n × (1.86 × 10^5) = 5.062 × 10^13

4. Solve for n by isolating the variable and dividing.

[tex]\frac{n (1.86 * 10^5)}{1.86 * 10^5}[/tex] = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]

n = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]

n = 2.72 × 10^8 (Make sure to include the unit, seconds)

The number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].

Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.

We need to find out how many seconds it takes light to travel from Sirius to Earth.

What is scientific notation?

To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.

If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.

Let the number of seconds it takes light to travel from Sirius to Earth be n seconds

Now, the proportion=[tex]\frac{1.86\times10^{5}}{1} =\frac{5.062\times10^{13}}{n}[/tex]

⇒[tex]n=\frac{5.062\times10^{13}}{1.86\times10^{5}}[/tex]

⇒[tex]n=2.72\times10^{13-5}=2.72\times10^{8}[/tex]

Therefore, the number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].

To learn more about scientific notation visit:

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In their first year, The Princess Bride earned $342,600,000 while Double-Take earned $670,900,000. What were their total earnings?

Answers

Answer:

1013500000

Step-by-step explanation:

Addition, mate.

it is 1,013,500,000

Step-by-step explanation:

which graph best models y>2x-4

Answers

Sorry, is there an option for this equation?

Answer:the answer is the first graph

(0,-4) with a slope of 2

Step-by-step explanation:

I need someone to please explain to me how my homework is done cause I’m lost and it’s due in a bit so

Answers

Answer:

7 : 3

Step-by-step explanation:

Answer:

7:3

Step-by-step explanation:

In the big square, there are 100 tiny squares.

There are 70 shaded squares.

There are 30 unshaded squares.

The ratio is 70:30

Simplify by dividing by 10 on both sides.

7:3

There were 16 bald eagles in an area some years later there were 28 bald eagle‘s in the area what is the percent game

Answers

........................

Tim ate 12 buffalo wings. Jeff ate 125% of the amount Tim ate. How many wings did Jeff eat?​

Answers

Answer:

%50

Step-by-step explanation:

hope this helped luv!

solve for a 2a + ab = b

Answers

Answer: a= b/ b+2


Step 1: factor out variable a.

a(b+2)= b

Step 2: divide both sides by b+2.

a(b+2)/ b+2 = b/b+2

Please be honest :( I’ll mark u please help

Answers

The second answerrrrrrrrr

What is the distance between -23 and 6

Answers

Answer:

29

Step-by-step explanation:

add 23 to cancel the negative then add 6 to get the final answer

Answer:

29 units.

Step-by-step explanation:

The distance is  6 - (-23)

= 6 + 23

= 29 units.

Select the correct answer. What is this expression in simplified form? (√22)(5√2) A. 10√11 B. 12√11 c. 20√11 D. 24√11​

Answers

Answer:

A. 10[tex]\sqrt 11[/tex]

Step-by-step explanation:

Just took the test and got it right! Hope this helps!

The simplified form of expression is  [tex]10\sqrt{11}[/tex].

What is an expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Given expression

[tex](\sqrt{22})(5\sqrt{2})[/tex]

= [tex](\sqrt{22} )(\sqrt{25}) (\sqrt{2} )[/tex]

The expression is in the form of [tex]\sqrt{x} .\sqrt{y} .\sqrt{z} =\sqrt{x.y.z}[/tex]

= [tex]\sqrt{22.(25).(2)}[/tex]

= [tex]\sqrt{11.(2).(25).(2)}[/tex]

= [tex]\sqrt{11.(100)}[/tex]

= [tex]\sqrt{100} .\sqrt{11}[/tex]

= [tex]10\sqrt{11}[/tex]

The simplified form of expression is  [tex]10\sqrt{11}[/tex].

Find out more information about expression here

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John made 3 out of 12 attempted baskets in the game. What percentage of the shots did he make?

Answers

Answer:25 percent

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

3/12 as a present is 25%

There are 13 apples in a basket. 5 of these apples are green. The rest of them are red.

What is the ratio of all apples in the basket to red apples?

What is the ratio of green apples to red apples?

Answers

Answer:

7:13

5:8

Step-by-step explanation:

Do 13 minus 5 and that is number of red apples. So the ratio is 8 to 13 total apples. So there are 5 green apples and 8 red apples so it’s going to be 5:8

Which statement is true? 7.11≤−7.1 7.11>−7.1 7.11<−7.1 7.11=−7.1

Answers

Answer:

7.11 > -7.1

Step-by-step explanation:

what’s he length of side a? will give brianliest!!!

Answers

6, it’s the only one that makes since, A and B are WAYYYY too long to be that side and c, 13 would make it longer than both sides and it’s shorter than both sides so d,6 is your answer

The circle shown has a radius of 4 cm.
Not drawn
to scale
х
What is the length of the diameter of the circle?
cm

Answers

Answer:

8 cm

Step-by-step explanation:

4+4=8 To get the diameter, double the radius and add them together.

Jessica, Becky, Leah, and Heidi go to the movies. if the girls randomly sit next to one another, what is the probability that becky and leah will sit next to each other? how many total outcomes are there for the seating arrangements? what is the probability of the girls randomly sit that becky and leah will sit together? what is the probability that becky and leah will not sit together? 100 points will be given!

Answers

Answer:

24 total arrangements,  

Step-by-step explanation:

thats all i know for this question, the rest are lost within my brain... somewhere

.
- 7(6 + d) = 49
Need help

Answers

Answer:

d=-13

Step-by-step explanation:

Let's solve your equation step-by-step.

−7(6+d)=49

Step 1: Simplify both sides of the equation.

−7(6+d)=49

(−7)(6)+(−7)(d)=49(Distribute)

−42+−7d=49

−7d−42=49

Step 2: Add 42 to both sides.

−7d−42+42=49+42

−7d=91

Step 3: Divide both sides by -7.

−7d−7=91−7

d=−13

Hope this helps have an amazing day :))

A function, f left parenthesis x right parenthesis comma models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these describes why f left parenthesis x right parenthesis can be considered a linear function? I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount. II. The function grows by equal factors every minute. III. The slope of the function is constant.

Answers

Answer:

quiz let or brainy helps me just look up the chapter question and you will get the answer

Step-by-step explanation:

hope this helps

f(x) can be considered as a linear function because of the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is the following statement representing a function - f(x), that models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute.

Assume that we represent the depth of the water rate by [y] and the time in minutes by [m]. We can write the function f(x) as -

y = f(x) = 11m

This is a linear relation and its graph will be a straight line passing through origin.

From this equation, we can make the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

Therefore, f(x) can be considered as a linear function because of the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

To solve more questions on straight line graphs, visit the link below-

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Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?

Answers

Answer:

40 mi / h = 120 mi / 3h  

Step-by-step explanation:

needed points so i juss looked it up btw its the right answer double checked it wit my smart as$ brother

Answer:

The answer is A

Step-by-step explanation:

I just did a test and got it right!

Solve the equation

1/2 k + 2 = 5 + 5/6 k

a. 2 1/4
b. -9
c. 9
d. -21

Please select the best answer from the choices provided​

Answers

Answer:

1/2k+2=5+5/6k

-3 = 5/6k-1/2k

-3=2/6k

k= -9

Final Answer: [tex]k = -9[/tex]

Steps/Reasons/Explanation:

Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided​.

[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]

[tex]b.[/tex] [tex]-9[/tex]

[tex]c.[/tex] [tex]9[/tex]

[tex]d.[/tex] [tex]-21[/tex]

Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]

Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]

Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).

[tex]3k + 12 = 30 + 5k[/tex]

Step 4: Subtract [tex]3k[/tex] from both sides.

[tex]12 = 30 + 5k - 3k[/tex]

Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].

[tex]12 = 30 + 2k[/tex]

Step 6: Subtract [tex]30[/tex] from both sides.

[tex]12 - 30 = 2k[/tex]

Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].

[tex]-18 = 2k[/tex]

Step 8: Divide both sides by [tex]2[/tex].

[tex]-\frac{18}{2} = k[/tex]

Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].

[tex]-9 = k[/tex]

Step 10: Switch sides.

[tex]k = -9[/tex]

~I hope I helped you :)~

Solve the equation.
d-7 = -18

Answers

Answer:

d=-11

Step-by-step explanation:

Answer:

A) d = -11

Step-by-step explanation:

d - 7 = -18 (add 7 on both sides)

   +7    +7

d = -11

Hope this helps!!!

what is square root of 22

Answers

Final Answer: [tex]4.69[/tex]

Steps/Reasons/Explanation:

Step 1: You will need to find the perfect square root of a number that is less than [tex]22[/tex]. So [tex]4^{2}[/tex] is [tex]16[/tex].

Step 2: Write down the square root of [tex]16 = 4[/tex].

Step 3: Solve [tex]\frac{22 - 16}{4 * 2}[/tex] which is [tex]0.75[/tex].

Step 4: Add [tex]4 + 0.75 = 4.75[/tex], so [tex]\sqrt{22}[/tex] is approximately ≈[tex]4.7[/tex].

~I hope I helped you :)~

25 yd. 4 in. Divided by 8

Answers

Answer:

113 inches or 3.13889 yards

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