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

66 and 2/3% as a fraction and decimal

Answers

Answer:

Answer are right here

Step-by-step explanation:

66 as a fraction is 33/50 and as a decimal, it would be 0.66

2/3 as a fraction would be 2/3 and as decimal it would be 0.66666667

Drew wants to buy sports equipment that costs $140. The sales tax is 8%. What is the total cost of the equipment with the tax?

Answers

Answer: $151.20

Step-by-step explanation:  8 percent of 140. Add this number to 140.

[tex]\frac{x}{140} = \frac{8}{100}[/tex]

100x=112

x=11.2

can u pls help me with this question ​

Answers

I believe it is 8 if not I’m sorry

Find the slope of the line in the given graph.

Answers

Answer:

option A, 3/4

Step-by-step explanation:

slope / gradient formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

use the 2 coordinates from the graph

i) (-2,3)

x1 = -2

y1 = 3

ii) (2,6)

x2 = 2

y2 = 6

[tex] \frac{y 2 - y1}{x2 - x1} [/tex]

[tex] \frac{6 - 3}{2 - ( - 2)} [/tex]

[tex] \frac{3}{2 + 2} [/tex]

[tex] \frac{3}{4} [/tex]

Gabriel earned $238.40 at His job when he word for 16 hours what was his hourly wage in dollars per hour?

Answers

Answer:

$14.9

Step-by-step explanation:

238.40 / 16 = $14.9 hourly

Answer:

Gabriel earns $14.90 per hour

Step-by-step explanation:

238.4 divided by 16 gives you 14.9

Hope this helps

(8.03 LC)
Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 of
his friends. How many rocks did each of Aaron's friends get?
If r represents the number of rocks each friend will get, which equation could be used to
solve the problem?

Answers

r = 9 in the equation r(6) = 54. You would divide by 6 on both sides to have r by itself giving you r = 9

Answer:

9, 54=6r

Step-by-step explanation:

54/6=9 rocks

54=6r

Solve the proportion for X.
0.666/5=х/15 x3
x= 2
x=3
x= 5
x = 10

Answers

Answer:

x = 2

Step-by-step explanation:

0.666/5 = (2/3)/5 = 2/15

Therefore, x = 2.

1
For every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of
cornstarch. How many teaspoons of white vinegar are there for every tablespoon of cornstarch?
A. 1
5
В.
C 1
D. 5

Answers

5 divided by 2 so it’s 2.5

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5

= 0.4

Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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put the numbers in order from least to greatest.

5 * 10^6

4000000

5 * 10^5

0.6 * 10^7

75 * 10^5

Answers

So if u simplify them all it would be 5000000, 4000000, 500000, 6000000, 7500000 so it would be least is 500000, 4000000, 5000000, 6000000, and 75000000 being the greatest... I hope this helps uuuu! :)

please solve needed asap

Answers

Answer:

x = 56°

Step-by-step explanation:

Base angles of an isosceles triangle are equal.

This:

The angle of the triangle to our right, which is the third unequal angle = 180 - 2(31)

= 180 - 62

= 118°

The base angle of the triangle to our left = 180 - 118 (angles on a straight line)

= 62°

x = 180 - 2(62)

x = 180 - 124

x = 56°

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Answers

Answer:

Step-by-step explanation:

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Given that:

Number of cards = 4

x = Black on both sides = 1

y = Red on both sides = 1

z = Black on one side, red on one side = 2

.i) If the side you see is black, what is the probability that the other side is black = b

Probability of black

P(x) = 1/4 ; p(b|x) = 1

P(y) = 1/4 ; p(y|x) =

1. An iPhone is on sale for $780. It originally cost $1000.00. What is the percent of change?

Answers

Answer:

your answer is going to be 220.

Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane?
Hint: Distance equals rate times time. (d = r t)

Answers

Answer:

it goes 4233 miles

Step-by-step explanation:

sorry if am wrong luv!

The highest recorded temperature in the world is 120°F. The lowest recorded temperature in the world is -129.6°F. What is the difference in the two temperatures?



Group of answer choices

9.6 degrees

29.6 degrees

229.6 degrees

249.6

Answers

Answer: 249.6 degrees

Explanation: When you see the subtraction symbol followed by a negative symbol, turn the two signs into a plus sign. As a result, the problem turns into a simple addition problem.

120 + 129.6 = 249.6

The inequality x ≥ -3 is satisfied by point (0, -2). True False

please explain!!

Answers

Answer:

true

Step-by-step explanation:

x [tex]\geq[/tex] -3, when graphed, is a vertical line which crosses the x-axis at -3

The solution area is then shaded either to the left of that line or to the right

Look at the point (0, -2); the x-coordinate is zero, which is greater than -3

Therefore, if graphing, you would shade the area to the right of the line and every point contained in this area is a solution to x [tex]\geq[/tex] -3

Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering

Answers

Answer:

The required equation will be:

200 = 3n + 60  

Step-by-step explanation:

We know the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation

Let 'n' represents the number of students (n).Let 'c' represents the cost budget.

Given that Bea's catering charges $3 per person.

Thus, the slope or rate of change = m = 3 dollars per person

Given that the clean-up fee to cater banquets = $60

In other words, $60 is the initial condition or y-intercept.

Thus, the y-intercept b = 60

Given that the cost budget = c = $200

Thus, the equation becomes

c = mn+b

substituting c = 200, m = rate of cgange = 3, b = 60

200 = 3n + 60            ∵ comparing with y = mx+b

Thus, the required equation will be:

200 = 3n + 60  

The equation that determines the no of students should be 200 = 3n + 60  

Equation need to be used:

Here we assume n be the number of students

And, c be the the cost budget.

So, we know the equation should be formed by applying the following expression

c = mn+b

Here c = 200, m = r = 3, b = 60

Therefore, the equation is 200 = 3n + 60        

Hence, The equation that determines the no of students should be 200 = 3n + 60  

Learn more about an equation here; https://brainly.com/question/18510004

What is the value of p in the proportion below?

StartFraction 20 over 6 EndFraction = StartFraction p over 12 EndFraction

Answers

Answer:

20/6=p/12

cross multiply

20*12=6p

240=6p

divide both sides by 6

p=40

Answer:

C - 40

Step-by-step explanation:

What is the least common multiple of the two denominators 6/8, 4/32

Answers

Answer:

32

Step-by-step explanation:

There were 350 apples on the tree in March. By September there were 420 apples on the tree. What was the percentage of change of apples on the tree? Round your answer to the nearest tenth.

Answers

Answer:

them some fast growing apples

Step-by-step explanation:

realy

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

In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.

Answers

Answer:

93.83%

Step-by-step explanation:

2350 - 1200 = 1150

1150/1200 * 100 = 95.83%

help asaap dont use me for points please

Answers

Answer:

-1.5

Step-by-step explanation:

You were on the free points page

2. Which of the following is the correct value of (0.22) - (0.4)? Show your reasoning. c. 0.088 d. 0.0088 w​

Answers

Answer:

C

Step-by-step explanation:

there would have to be one more zero between 0 and 8 for both of them

If the imput is -8 then what is the output of y=3x+7

Answers

Answer:

output is -17

Step-by-step explanation:

x is input, y is output. You do y = -24 + 7

then y = -17

Help

w(a)=a-1; find w(0)

Answers

Answer:

Step-by-step explanation:

w(0) = 0-1

w(0) = 0-1

w(0) = -1

Since w(0), this basically means that a = 0.

So, plug 0 into anywhere a is.

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

w(a) = a - 1

The value of the function at a = 0 will be

w(0) = 0 - 1

w(0) = - 1

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ2

In the figure below, APQR is a reflection of ATSA.
Two students describe the given triangles as shown:
Student I: Because reflections preserve side lengths, OR a SR, PO TS, and PR TR.SO APORATSR by SSS.
Student II: Because reflections preserve both side lengths and angle measures, ZROP ZRST, OR SR. and PO = TS. SO APOA - ATSR by SAS.
Who has proven APOR - ATSR correctly?
only studenti
only student II
o
both student I and student II
o
neither student I nor student II

Answers

Answer:

both student one and student two

Step-by-step explanation:

With the properties of congruent triangle we conclude that the statement of both student I and student II are correct.

Congruent triangle-If the sides of two triangle measure same lengths and the angle have same measures then the two triangle are said to be congruent.

Given-

Statement of student 1-Because reflections preserve side lengths,

[tex]QR \cong SR[/tex],

[tex]PQ \cong TS[/tex],

[tex]PR \cong TR.[/tex] so,

[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]

In all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangle are said to be congruent by the side side side (SSS) rule. Hence, the above statement is correct.

Statement of student 2- Because reflections preserve both side lengths and angle measures,

[tex]\angle RQP \cong \angle RST[/tex]

[tex]QR \cong SR[/tex]

[tex]PQ \cong TS[/tex]

[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]

In any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangle are said to be congruent by the side angle side (SAS) rule. Hence the above statement is correct.

Hence, with the properties of congruent triangle we conclude that the statement of both student I and student II are correct.

https://brainly.com/question/25813512

7. A group of Ember students went to a campground. While there they cooked and found a
way to stay warm throughout the night. They placed logs in a pit and started a fire. Which
type of energy was emitted by the fire?
. A. thermal energy
B. nuclear energy
e C. electrical energy
D. chemical energy

Answers

D. Chemical Energy because the fire has wood and the wood is burning and that is making ashes and also when you light the fire it creates a chemical change cause if you touch it it will burn you and put much damage on you

What is the domain of the function graphed below? Hurry pls I’m being timed

Answers

(-2, infinity) option A

25 yd. 4 in. Divided by 8

Answers

Answer:

113 inches or 3.13889 yards

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
a. y=
b. y=

Answers

Answer:

(a). y = - 4x + 19 ; (b). y = [tex]\frac{1}{4}[/tex] x + 2  

Step-by-step explanation:

Slope "m" of given line is

m = - 4

Slope of parallel line is ( - 4) and perpendicular line is [tex]\frac{1}{4}[/tex]

P(4, 3)

y - [tex]y_{P}[/tex] = m( x - [tex]x_{P}[/tex] )

(a). y - 3 = - 4 (x - 4)

y = - 4x + 19

(b). y - 3 = [tex]\frac{1}{4}[/tex] ( x - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2

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