Mathematics, 15.07.2019 04:00 tdahna0403

Agardener brought 5 rabbits, after 2 months rabbits became 10, and after 4 months they became 20. if the growth continues on the same ratio, what would be the amount of rabbits after 1 year? (a) 300 (b) 435 (c) 535 (d) 635

Answers: 2

Show answers

Answers

Answer from: tishfaco5000

Initial population of Rabbit = 5 rabbit

After 2 months

Population of Rabbit = 10

After 4 months

population of rabbit = 20

Formula for growth is :

G = $G_{0}[1 + R]^n$ , where G is final population and $G_{0}$ is initial population, and R is growth rate.

1. 10 = 5 [1 +R]²

Dividing both sides by 5 , we get

2 = (1 + R)²

→ R + 1 = √2 ⇒ taking positive root of 2

→R = √2 -1

Amount of rabbit after 1 year = $20(1 + \sqrt2 -1)^8= 20 \times (\sqrt2)^8= 20 \times 2^4= 20 \times 16= 320$

Answer from: kimsouther2

The amount of rabbits after 1 year is $\boxed{635}$ .

Further explanation:

The terms of the geometric sequence can be written as,

$a,ar,a{r^2},a{r^3}$ , ..

Here, is the first term and is the common ratio.

If the first term and the second term is known then, the value of can be obtained.

Now, the value of any term can be easily obtained with the help of a and r.

Explanation:

The initial population of the rabbit is 5.

After two months the population of the rabbit is 10.

After four months the population of the rabbit is 20.

After six months the population of the rabbit is 40.

After eight months the population of the rabbit is 80.

After ten months the population of the rabbit is 160.

After twelve months the population of the rabbit is 320.

The series can be formed as,

$5,{\text{10, 20, 40, 80, 160, 320}}$

Now find the sum of all the population.

$\begin{aligned}{\text{Sum}} &= 5 + 10 + 20 + 40 + 80 + 160 + 320\\&= 685 \\\end{aligned}$

The amount of rabbits after 1 year is $\boxed{635}$ .

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Geometric progression

Keywords: Rabbit, gardener, same ratio, amount of rabbits, growth, continues, 1 year, Five rabbits, after two months,

Answer from: Quest

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

Answer from: Quest

25% increaseplus i think decrease i only know increase: ((

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 18:00, Kellystar27

Someone this asap for a group of students attends a basketball game. * the group buys x hot dogs at the concession stand for $2 each. * the group buys y drinks at the concession stand for $3 each. the group buys 29 items at the concession stand for a total of $70. how many hot dogs did the group buy?

Answers: 1

continue

Mathematics, 22.06.2019 00:10, gamerhunter425

2. (09.01 lc) a function is shown in the table. x g(x) −3 17 −1 −3 0 −4 2 13 which of the following is a true statement for this function? (5 points) the function is increasing from x = −3 to x = −1. the function is increasing from x = −1 to x = 0. the function is decreasing from x = 0 to x = 2. the function is decreasing from x = −3 to x = −1.

Answers: 3

continue

Mathematics, 22.06.2019 01:00, jabariewalker2006

Luis has a cooler filled with cans of soda. for every 5 cans of coke there are 3 cans of sprite. if there are 25 cans of coke, how mant cans of sprite are there?

Answers: 2

continue

Mathematics, 22.06.2019 02:00, georgesk872

Look at the example below which shows how the product property of radicals is used to simplify a radical. use the product property of radicals to simplify the following radical.

Answers: 3

continue

You know the right answer?

Agardener brought 5 rabbits, after 2 months rabbits became 10, and after 4 months they became 20. if...