The population of rabbits on an island is growing exponentially. In the year 1994, the population of rabbits was 9600, and by 2000 the population had grown to 18400. Predict the population of rabbits in the year 2009, to the nearest whole number.

Answers

Answer 1

Answer:

49243

Step-by-step explanation:

Given that the population of rabbits on an island is growing exponentially.

Let the population, [tex]P=P_0e^{bt}[/tex]

where, [tex]P_0[/tex] and b are constants, t=(Current year -1994) is the time in years from 1994.

In 1994, t=0, the population of rabbit, P=9600, so

[tex]9600=P_0e^{b\times 0}[/tex]

So, [tex]P_0=9600[/tex]

and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400

[tex]18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\[/tex]

[tex]\ln(23/12}=6b \\\\[/tex]

[tex]b = \frac{\ln{1.92}}{6} \\\\[/tex]

b=0.109

On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is

[tex]P=9600 \times e^{0.109\times t}[/tex]

In 2009, t= 2009-1994=15 years,

So, the population of the rabbit in 2009

[tex]P=9600 \times e^{0.109\times 15}=49243[/tex]

Hence, the population of the rabbit in 2009 is 49243.


Related Questions

please help me I dont want to do it and I am on a timed thing ​

Answers

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-5 -15 = -20

-20+4 = -16

-16+15 = -1

Therefore, -5-15+4+15 = -1

Is A triangle with side lengths 24,32, 42 a right angle?

Answers

Answer:

No its not a right angle.

4 3/7 + 6 1/5 = ?
Please EXPLAIN!!!
I'm too lazy and when I lazy I not so smart ;)

Answers

Answer:

Welp here is the answer to your question, 372/35 in exact form. in mixed number form it is 10 22/35

What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 57
5
The slope is 2, and the y-intercept is 4.
5
The slope is 2, and the y-intercept is 4.
5
The slope is 4, and the y-intercept is 2.
5
The slope is 4, and the y-intercept is 2.

Answers

Answer:

slope(m)=4 and

y-intercept(c)=-5/2

Step-by-step explanation:

here,8x-2y=5

reducing it into slop intercept form we get,

2y=8x-5

or,y=8/2x+(-5/2)

or,y=4x+(-5/2)

comparing it with y=mx+c we get,

slope(m)=4 and

y-intercept (c)=-5/2

I NEED HELP NOW PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! im gonna fail i swear help please now



what's 2+2 ?

Answers

Answer:

2+2 = 4

Step-by-step explanation:

ok so if u put 2 fingers up and you add 2 more, you get 4

bruv

Which is bigger 67% or 3/5 Please help me

Answers

Answer:

67%

Step-by-step explanation:

This is because 67% is basically 67/100 as a fraction and 3/5 is only 60%, all you need to know is the facts about fraction to percentage

Factor the expression 5x+15

Answers

Answer:

5(x+3)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = 55

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

5(\frac{5x}{5}+\frac{15}{5})5(

​5

​5x

​​ +

​5

​15

​​ )

3 Simplify each term in parentheses.

5(x+3)5(x+3)

Factor 5 out of 5x + 15.

5 (x + 3)

PLEASE ANSWER THISSS

Answers

Answer:

78.5 ft

Step-by-step explanation:

You had the right answer

Hope you got the clarification you needed! :)

Brainliest pls

Its 78.5
Hope this helps and goood luckkkkk :)

Write an equivalent expression by distributing the "-−" sign outside the parentheses:
10m-(3.3n+1.8)

Answers

Answer:

10m - 3.3n - 1.8

Step-by-step explanation:

10m -(3.3n + 1.8)

10m - 3.3n - 1.8

Hope this helps and I hope u have an Amazing day!!

Which is the better value, 2 books for $18 or 6 books for $45? Explain. {hint: make two tables; compare} (1 pt.) RP.1.3 b a.2 books for $18 because each book costs $9 and 6 books for $45 because each book costs $9.50 b.2 books for $18 because each book costs $8 and 6 books for $45 because each book costs $9.50 c.6 books for $45 because each book costs $7.50 and 2 books for $18 because each book costs $9 d.6 books for $45 because each book costs $9 and 2 books for $18 because each book costs $9.50 answer fast please

Answers

Answer:

I am a little confused by your question but if you were getting less it would be the first but more would be the second

Step-by-step explanation:

Answer:

c. 6 for 45 b/c each costs 7.50 and 2 for 18 b/c each book costs 9

Step-by-step explanation:

If you divide the amount of money by the number of books then you will find how much each book costs individually. If you wanna spend less money per book, then you 6 books for 45 is a better deal

Find the slope of two points (1,-5)(10,6)

Answers

Answer:

11/9

Step-by-step explanation:

Answer: 11/9

Step-by-step explanation:

The slope is found by the change in y over the change in x

(6-(-5))/(10-1)

Simplify:

11/9

What is the slope of the line that passes through the points (3,-5) and (1,-5)? In simplest form.

Answers

Answer:

Step-by-step explanation:

The way to find slope is by y2-y1/x2-x1 which gives you slope ,but if you just want the answer its zero.

Please help! Will mark Branliest!

In Game 2, your score started at 2 and doubled every time. Two expressions below represent your score after 12 hits. Select both.

Answers

Answer:

B and D

Why are both of the answers to the last question correct?

An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.

Robert and his younger sister are selling gift wrap to raise funds for the middle school band. Robert's sales are 2.5 times his sister's sales. Their total sales together can be represented by the equation x+2.5x=63 . Which of these statements are true? Choose ALL that are correct. A Robert's sales are represented by x when solving 3.5x=63 . B Robert's sister's sales total $18.00. C Robert's sales are represented by x when solving 2.6x=63 . D Robert's sales total $25.20. E Robert's sister's sales are represented by x when solving 3.5x=63 .

Answers

Answer:

B. Robert's sister's sales total $18.00.

E. Robert's sister's sales are represented by x when solving 3.5x = 63 .

Step-by-step explanation:

Let

Robert sister's sales = x

Robert sales = 2.5 * x

= 2.5x

Total sales = Robert sister's sales + Robert sales

63 = x + 2.5x

63 = 3.5x

Divide both sides by 3.5

x = 63 ÷ 3.5

= 18

x = $18.00

Robert sales = 2.5x

= 2.5(18)

= $45.00

A. Robert's sales are represented by x when solving 3.5x=63 .

No

B. Robert's sister's sales total $18.00.

Yes

C. Robert's sales are represented by x when solving 2.6x=63 .

No

D. Robert's sales total $25.20.

No

E. Robert's sister's sales are represented by x when solving 3.5x = 63 .

Yes

Can anyone please help me with this multiple choice for 10 points! ANSWER ONLY IF YOU KNOW! Question 4

Answers

Answer:

question 4.

D (x-10)

Step-by-step explanation:

question 4.

x^2 - 8x - 20

(x -10)(x+2)

x² + 8x - 20 [-20 = -2 × 10]

x² - 2x + 10x - 20 [8 = -2 + 10]

x(x - 2) + 10(x - 2)

(x + 10) (x - 2)

___________________________________________

A. x - 2

represents a factor

What is 5+5x•40 if x equals 5

Answers

x = 4



This is the anwser

For the system, what is the y-value? -5x + 3y =10 -x + 6y = 4​

Answers

Answer:

The answer i believe is y=-10/3 - 4x/3

Step-by-step explanation:

can someone answer this please

Answers

Answer:

The coordinates of point P are (1, -1)

Step-by-step explanation:

If the point (x, y) reflected about the x-axis, then its image is (x, -y)To find the image of a point reflected about the x-axis change the sign of its y-coordinateThe rule is R x-axis → (x, -y)

If the point (x, y) reflected about the y-axis, then its image is (-x, y)To find the image of a point reflected about the y-axis change the sign of its x-coordinateThe rule is R y-axis → (-x, y)

→ Assume that the coordinates of point P are (x, y)

∵ The coordinates of point P are (x, y)

∵ The rule of the reflection is R y-axis (P)

∴ Its image = (-x, y)

∵ The image = (-1, -1)

→ Equate the two images

(-x, y) = (-1, -1)

∴ -x = -1

→ Divide both sides by -1

x = 1

y = -1

The coordinates of point P are (1, -1)

what is the best estimate for V18

Answers

Answer:

34/8-16/3-14/9

Step-by-step explanation:

What is the answer to this ??

Answers

Answer:

the first one

Step-by-step explanation:

they meet on (-3,-$4) so just plug the numbers in

3n - 5 =22 what is the value of n

Answers

Answer:

n = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3n - 5 = 22

Step 2: Solve for n

Add 5 to both sides:                    3n = 27Divide 3 on both sides:               n = 9
The answer is 9 because your going to add +5 under -5 and +5 under 22 and -5+5 going to cancel out and 22 will be 27. Then it’s going to be 3n=27 divide 3 on both sides and n=9

.
Marshall gave the cashier $100 to pay for 4 new video games. The cashier gave him $4.08 in change. Each video game cost the same amount.

What is the cost in dollars and cents for each video game?
PLZZZZ HELP

Answers

Answer:

I would say it's $23.98

Step-by-step explanation:

If you do 100-4.08, you get 95.92 and since there's 4 video games, divide 95.92 by 4 and you get 23.98

Answer:

$23.98 or 2398 cents

Step-by-step explanation:

If the cashier gave $4.08 back, that means that he spent 100-4.08 on the 4 games.

$100 = 4 games + $4.08

4 games  = $95.92

$95.92/4 = $23.98

Hope That Helps.

Which equation could be used to solve for a value, x, that is equal to 5 times the sum of x and 12?
x = 5x = 12
5x = x + 12
x = 5(x + 12)
x = x + (5)(12)​

Answers

x = 5( x + 12)
That’s the equation. C. Would be correct

What are the zeros of the polynomial function?
Answers option's

-15 and 4

-4 and 15

10 and -6

-10 and 6​

Answers

Pretty sure its 10 and 6

1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18​

Answers

Answer:

x = 7

Step-by-step explanation:

QY = 5x

YZ = 18

QZ = 53

Thus:

QY + YZ = QZ (segment addition postulate)

5x + 18 = 53

5x = 53 - 18 (subtraction property of equality)

5x = 35

Divide both sides by 5

x = 7

Dr. Concha Gómez is an Italian, Cuban American who received a Ph. D. in Mathematics at the University of California at Berkeley. Dr. Gomez currently works at the University of
Wisconsin where she teaches her students how to find the solutions to a quadratic function. To start, she asks her students to find the factors for the quadratic expression,
7z^2 -38z + 15.
Select the factors of this quadratic expression.

Answers

Answer:

7z - 3 and z - 5

Step-by-step explanation:

The factors of the given quadratic expression is (z-5((7z-5).

The given quadratic expression is 7z² -38z + 15.

What is the quadratic expression?

An expression of the form ax² + bx + c, where a ≠ 0 is called a quadratic expression. In other words, any expression with the variables of the highest exponent or the expression's degree as 2 is a quadratic expression.

The given quadratic expression 7z² -38z + 15 can be solved as follows:

Using spitting middle term

7z² -35z-3z + 15

= 7z(z-5)-3(x-5)

= (z-5((7z-5)

Therefore, the factors of the given quadratic expression is (z-5((7z-5).

To learn more about the quadratic expression visit:

https://brainly.com/question/14083225.

#SPJ6

HELP ME PLEASEEEE!!I beg y’all

Answers

Answer:

For Ms Ortiz: 50 = 50x+30y

For Mr Donahue 45=30x+30y

C =Substitution

Answer:

Step-by-step explanation:

45 divided by 30=$1.50

x amount of rulers multiplyed by 1.50

45-55=10$

50 pencils for 10 bucks

50 divided by 10 =5

5     5   5   5 5 5 5 5 5 5

five pencils for five dollers   one doller for one pencil

sorry for the spelling errors  this is all i can do the rest is a bit tricky

What is 3% of 250 ?




.....

Answers

Its 7.5

Hope this helps good luckkk u can do this
7.50 that is your answer

John and his mother are trying to determine the dimensions of their new curtains. They know that the area of the fabric they have available is y^2-10y+25 square inches. Which of the following are possible dimensions of the curtains, in inches?
A.
(y – 1)(y – 10)
B.
(y – 25)(y – 1)
C.
(y – 5)(y – 5)
D.
(y + 5)(y – 5)

Answers

Answer:

the answer is C .  (y-5)(y-5)

Step-by-step explanation:

i just did it in edge

Which of the following is closest to 1/2 + 1/3?

Answers

the believe the answer is C-0.8

Answer:

c

Step-by-step explanation:

1/2= 0.5, 1/3= 0.33 ; 0.5+ 0.33= 0.83 or 0.8

Other Questions
Marta received $5 for helping her dad in the back yard. She spent $2.40 on drinks and $1.33 on snacks. A)Write an equation to show how much money she has left. Remember to define your unknown. B)Solve the equation from part (a). Show your work 30 is 2/3 of what number A time draft is a negotiable instrument, which means that it:_______ a. is also known as a bill of lading. b. has no value given the deferred nature of the document. c. can be sold to an investor.d. cannot be transferred.e. is generally not preferred in international transactions. Which of the following should NOT be considered when setting a current budget? How many solutions does the equation 4p + 7 = 3 + 4 + 4p have? One Two Infinitely many None please help ill give brainliest if you give a correct answer tysm :)) Which is a commodity someone might invest in? can someone help me with this one ? All citizens in ancient Athens had the right to attend the Assembly, where theycould meet in open discussion and cast votes. This situation is an example of what are the benefit we can get from the distance given on the map ? Select the intended meaning of the idiom in the following sentence.He really drives a hard bargain.1.He gets the most for his money.2.He likes to drive long and hard. Pleaseee help me!! I have less than 30 mins :( Which of the following are TRUE?1. Spain conquered areas of Central and South America simply because they were smarterthan Native AmericansII. The Spanish were able to conquer large areas because they had horses, guns and armor.III. The Spanish were mainly able to conquer territory in Americas because natives werevulnerable to diseases such as smallpox, tuberculosis, and the measles.IV. Spain was unable to conquer territory because they were always outnumbered by nativeforces.O II, III and IVO II and IIIO Ill onlyO II and IV are there any danganronpa enjoyers on here :o -5y+6x=40 solve the system of equations Match The Following i need more characters to ask a question. Fun Fill & SignSign2. The table below shows views about government.?Separation ofpowers protectsthe peopleA bill of rights isnot neededNo branchcontrols anotherThe nationalgovernment has toomuch powerA bill of rights isneededCongress has too muchpowerWhat is the best title for this chart?A. Patriots v LoyalistsB. Federalists v Anti-FederalistsC. New Jersey Plan v Virginia PlanD. Articles of Confederation v U.S. Constitution The sum of two consecutive numbers is 723. FInd the numbers. Complete each sentence with a partitive or indefinite article.1.Elle mange___croissant.2.Il ne prend pas___boisson gazeuse.3.Est-ce qu'il y a___soupe?4.Nous ne mangeons pas___chocolat.5.Il n'y a pas___lait pour le caf.6.Nous buvons___ limonade.7.Il y a___fromage sur la table.8.Tu commandes___frites.9.Ils vont manger___ sandwich au jambon.10.Oui, je bois___eau minrale. Danny got 33 out of 55 questions correct on his Social Studies exam. What percent of questions did he get correct