Rabbit populations can double every 30 days. If there are 26 rabbits on a farm, how many rabbits will be on the farm after 240 days? Use the Formula: Future Amount = { ](1+__)^{ }

Answers

Answer 1

Answer: 6,656 rabbits.

Step-by-step explanation:

The initial number of rabbits is 26.

We know that every 30 days, this number is doubled.

Then after 30 days, the population of rabbits is: 2*26

After other 30 days, the population will be: 2*(2*26) = 26*(2)^2

After another 30 days, the population will be: 2*26*(2)^2 = 26*(26)^3

The equation for this population can be written as:

P = A*(1 + 1)^(d/30)

where:

A is the initial population, in this case, 26

d is the number of days that have ben passed.

the denominator of 30 is because the population doubles every 3 days, so when d = 30, we will have that d/30 = 1, this is the first time that the population is doubled. When d = 60, d/30 = 2, this is the second time that the population is doubled, and so on.

Then our equation is:

P(d) = 26*(2)^(d/30)

The population after 240 days will be:

P(240) = 26*(2)^(240/30) = 6,656

So after 240 days, there will be 6,656 rabbits.


Related Questions

An empty box weighs 200 g the boxes filled with party goody bags and now it weighs 6.2 kg each goodie bag weighs 100 and grams work out how many goody bags are inside the box

Answers

Answer:

60 goody bags

Step-by-step explanation:

1 kg = 1000 g

6.2 kg = 6,200 g

Empty box = 200 g

Box + goody bags = 6,200 g

Weight of Goody bags = Box + goody bags - empty box

= 6,200g - 200g

= 6,000 grams

Each goody bag = 100 g

how many goody bags are inside the box

Number of goody bag in the box = total weight of goody bag / weight of each goody bag

= 6,000 grams / 100 grams

= 60 goody bags

There are 60 goody bags in the box

How are fractals developed

Answers

Answer:

Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. ... Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.

Step-by-step explanation:

find the value of sin 0 in each of the following figures.​

Answers

Answer:

[tex]\displaystyle \sin\theta=\frac{4}{5}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, we identify an adjacent leg and an opposite leg. The trigonometric ratios are defined upon those sides.

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Let's focus on the angle θ. Its opposite leg is 8 cm and the hypotenuse is 10 cm, thus:

[tex]\displaystyle \sin\theta=\frac{8}{10}[/tex]

Simplifying:

[tex]\boxed{\displaystyle \sin\theta=\frac{4}{5}}[/tex]

Cheryl took her family to the movies and purchased 3 child tickets and 4 adult tickets for $69. Tyrone purchased 3 adult tickets for $36. Let x represent the cost of a child ticket (in dollars) and y represent the cost of an adult ticket (in dollars). Use a graph to find the cost of a child movie ticket and the cost of an adult movie ticket.

Answers

Answer:

Child ticket = $7, adult ticket = $12

Step-by-step explanation:

3 child tickets and 4 adult tickets for $69:

3x + 4y = 69

3 adult tickets for $36:

3y = 36

Graph is attached

As per graph, x = 7, y = 12

Child ticket = $7, adult ticket = $12

solve the proportion 9x=62

Answers

Answer: x=6.8

Step-by-step explanation:

I figured it out ;)

Answer:

x=6.889

Step-by-step explanation:

9x=62

x=62/9

x=6.889

what is Use the table to solve the inequality 2x<2.

x −1 0 1 2 3
2x

Answers

Answer:

x less than 1

Step-by-step explanation:

what is 1/3 divided by 7

Answers

Answer:

1/21

Step-by-step explanation:

1/21 is the fraction form

HELP I NEED HELP ASAP

Answers

Answer: A

Step-by-step explanation:

Cuz the inverse of addition is subtraction

Express in the form n : 1
9:3​

Answers

Answer:

n =3

hope it helps

Answer:

3:1

Step-by-step explanation:

cut by 3

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

which expression represents five times the sum of a number n and 12

Answers

Answer:

5n + 60

Step-by-step explanation:

5 × (n + 12) = 5 × n + 5 × 12 = 5n + 60

The double number line shows how far a hummingbird can fly in 1 second -
Complete the table to show the same information as the double number line

Answers

Answer:

1

3

130

Step-by-step explanation:

as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1

using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.

13/1=39/x

this is 13x=39

x=3 seconds

use the same ratio to find distance

13/1=x/10

13=x/10

130=x

How much is b3 + c=

if a = 9, b = 3, and c = 13
Help please

Answers

Is there 22 on there? This is what I got

PLEASE HELP ASAP !! WILL GIVE BRAINLIEST

Answers

Answer:

Last one

Step-by-step explanation:

Since it’s a right triangle with 30, 60, and 90 as it degrees, it’s only logical that the second choice is the best choice because if you look at the photo below one side will have square root of 3 with a coefficient, while the other side is just the number by itself.

Shikita borrowed money from her brother and paid back a set amount each week. The table shows how much she owed in a given week.



Let x represent the number of weeks and y represent the amount owed. Write an equation in slope-intercept form to model the amount Shikita owed each week. Do not leave any empty spaces in your answer.

Answers

Answer:

y= -2.5x+40

Step-by-step explanation:

Help! “Ms.Day drew a rectangle on the board with a width of 14 cm and a digo al length of 50 cm. Find the length of this rectangle in centimeters.”

Answers

Answer:

length=48cm

Step-by-step explanation:

a²+14²=50²

a²+196=2500

a²=2304

a=48

Which is a like radical to 3 sqrt 54 and 3 sqrt 128 when the expression are simplified?

Answers

Answer:

A.) [tex]3\sqrt[]{2}[/tex]

Step-by-step explanation:

Edge 2020 assingment

Goodluck everybody!

∛2 is the radical part of both ∛54 and ∛128  when the expression are simplified.

What is Number system?

A number system is defined as a system of writing to express numbers.

Let us write the prime factors of 54.

54/2 = 27

When fifty four is divided by 2 we get twenty seven.

27/3=9

Twenty seven divided by three is nine.

9/3=3

So 54 = 2 × 3 × 3 × 3

we know ∛ 3 × 3 × 3 = 3

∛54 = ∛ 3 × 3 × 3×2 = 3∛2

Hence, ∛2 is the radical part of both ∛54 and ∛128  when the expression are simplified.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ7

Find the value of x

A.55

B.60

C.85

D.120

Answers

Answer:

A

[tex]x + 125° = 180° \: \: (angles \: on \: straight \: line) \\ x = (180 - 125)° \\ x = 55°[/tex]

What importance do fossils have to scientists?
A. Fossils are used to create cement, which is used to pave our roads.
B. Fossils provide information about the plants and animals that lived long ago and the nature of the environment at the time.
C. Fossils help keep the Earth's crust from shifting, which reduces the likelihood of earthquakes.
D. Fossils can help prove that aliens from other planets once lived on our Earth, but they all died from some catastrophic
event

Answers

Answer:

B is the answer.

Step-by-step explanation:

 

At a school, 460 of the students walk to school.
the number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?

Answers

Answer:

506

Step-by-step explanation:

To find a percent answer is easy, just do this:

Enter your base number here: 460

Enter your percent here: 110%

460 x (convert 110% to a decimal) 1.1 = 506

Your welcome =)

Answer:

The answer is 506

Step-by-step explanation:

What is the value of x?

Answers

Step-by-step explanation:

i hope u got it ....

thank u!!

A boy at an amusement park has 38 ride tickets. Each ride on the roller coaster costs 5 tickets. After riding the roller coaster as many times as he can,how many tickets will the boy have left?

Answers

Answer:

He will expend 35 tickets for 7 rides. 3 tickets are left.

Step-by-step explanation:

Giving the following information:

Number of tickets= 38

Tickets per ride= 5

To calculate the number of rides he can make, we need to use the following formula:

Number of rides= number of tickets / tickets per ride

Number of rides= 38/5

Number of rides= 7.6 = 7 rides

He will expend 35 tickets for 7 rides. 3 tickets are left.

3. Which number is a factor of 18. but not a multiple of 2? (10 Points)​

Answers

Answer:

Three or nine

Step-by-step explanation:

help quicklyy pleasee

Answers

Answer:

b

Step-by-step explanation:

Answer:

It is B.

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Mt. Calvary's budget for a swing set to be built for the Children's Church is $900. If the cost of the swing set should be at least one-fourth as much as the fort, how much can be spent on the fort and still build the swing set?

Answers

Answer:

[tex]Amount = \$4500[/tex]

Step-by-step explanation:

Represent Swing Set with S and Fort with F

Given

[tex]S = \$900[/tex]

[tex]S = \frac{1}{4}\ of\ F[/tex]  --- S = one-fourth of F

Required

Determine the amount spent on both

Substitute 900 for S in [tex]S = \frac{1}{4}\ of\ F[/tex]

[tex]\$900 = \frac{1}{4} * F[/tex]

Multiply both sides by 4

[tex]4 * \$900 = \frac{1}{4} * F * 4[/tex]

[tex]4 * \$900 = F[/tex]

[tex]\$3600= F[/tex]

[tex]F = \$3600[/tex]

The total amount to be spent it:

[tex]Amount = F + S[/tex]

[tex]Amount = \$3600 + \$900[/tex]

[tex]Amount = \$4500[/tex]

PLS I REALLY NEED HELP HEL HELP HELP HELP HELP

Answers

Answer:

Part 1: s+32=187

Part 2: 187-32=s

s=155

Step-by-step explanation:

Answer:

s+32=187 for the first response box. the second is - s=155

Step-by-step explanation:

What is the value of the expression with base 2 and exponent 5

Answers

Answer:the answer is 32

Step-by-step explanation: 2 to the 5th power =2*2*2*2*2=32

-3/4 times (-12) (this / means a fraction)

Answers

Answer:

9

Step-by-step explanation:

Is this right???

I give Brainliest !

Answers

Answer:

It is right

Step-by-step explanation:

good job whatever your name is! you are very smart

Please help!!!!!! Thank you!

Answers

Answer:

y= -4/3x+8

Step-by-step explanation:

y=mx+b is the equation for a line

m=slope

b=y-intercept

First, find the slope

The formula for the slope is: y2-y1/x2-x1

8-0/0-6=

8/-6=4/-3

Plug the slope into the equation

y= -4/3x+b

Now find the y-intercept.

To do this, plug in the x and y of a coordinate and solve for b

I will use (0,8)

8= -4/3(0)+b

8=b

Plug the y-intercept into the equation

y= -4/3x+8

y= -4/3x+8 is your equation

Need help finding x

Answers

Answer:

x= 50°

Step-by-step explanation:

the total angles in a triangle must equal 180 so just subtract 80 and 50 from 180

Answer:

x = 130°

Step-by-step:

I looked at the triangle with the angles 50° and 80°. to find the missing angle in that triangle, you want to add the numbers and then subtract 180° from that because when you add all three sides of a triangle, it equals 180°. So when you add 50° and 80°,you get 130°. Now you have to do 180° - 130° and you get 50°.  Now that you have the missing angle for the last triangle, you can use that angle to find the measure for the line across from that. To do that, you have to take 180° and subtract 50°. You would get 130°. Your answer for x is 130°.

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