1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DIA [1.3K]
2 years ago
12

You are researching the penguin population in the Falkland Islands. There are 1000 penguins in the beginning of the first year:

500 are male, and 500 are female. Each couple makes one chick every spring (assuming every penguin has a partner). Chicks that are one year old also reproduce. However, 20% of all penguins, both adults and chicks, die each year due to natural causes. You need to create a formula to determine the population of the penguins (including chicks) at the end of the 7th year.
What is the formula to determine the population of the penguins at the end of the 7th year?
Mathematics
1 answer:
kolbaska11 [484]2 years ago
8 0

Answer:

The formula to determine the population of penguins at the end of the 7th year is:

P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275

Step-by-step explanation:

With this information, we know that the initial population at end of year 0 is 1000 penguins.

The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.

We can then model the population for the end of year 1 as:

P_1=P_0+0.5P_0-0.2P_0=1.3P_0

As this dynamic will continue with the years, we can generalize as:

P_2=1.3P_1=1.3\cdot (1.3P_0)=1.3^2P_0\\\\P_n=1.3^nP_0

Then, the value of the population at the end of the 7th year should be:

P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275

You might be interested in
Suppose that an individual has a body fat percentage of 15.9% and weighs 159. How many pounds of her weight is made up of fat? R
Anna007 [38]

Answer:

25.3 lb

Step-by-step explanation:

We can multiply the whole by the percentage to find the part. Since 15.9% is equal to 0.159, the weight of fat is 159*0.159 = 25.281. Round this to the nearest tenth, and we get 25.3 pounds.

5 0
1 year ago
Which segment is a diameter of this circle?<br> Ο TX<br> O VX<br> Ο XY
professor190 [17]

Answer:

The answer is VX.

Step-by-step explanation:

This is because the line segment VX, reaches from one end of the circle to the other, touch both sides of the circle. The other options do not make sense since segment XY does not go through the center of the circle and TX is the radius of the circle. The radius is half the diameter of the circle.

Therefore, the answer is VX.

5 0
2 years ago
3 4 5 6
stellarik [79]
C, if you show a picture maybe I can answer it correctly
3 0
2 years ago
Read 2 more answers
20 points free<br> How to make a cow bark
yKpoI14uk [10]

Answer:

RUFF RUFF RUFF RUFF RUFF

6 0
2 years ago
Which techniques can be used to evaluate the expression 12.75/<br><br> 1.5
sergeinik [125]

Answer:

8.5

Step-by-step explanation:

Given the expression 12.75/1.5. The technique in solving the division expression is as shown

First we can write the decimals as fraction as shown;

12.75 = 1275/100

1.5 = 15/10

12.75/1.5 = (1275/100)÷(15/10)

12.75/1.5 = 1275/100×10/15

12.75/1.5 = 1275/10 × 1/15

12.75/1.5 = 1275/150

12.75/1.5 = 8.5

Hence the result of the division is 8.5

6 0
3 years ago
Other questions:
  • 47:PLEASE HELP Find the y-intercept of -x +2y=20
    6·2 answers
  • Can you solve this?<br> 1+cot^2θ=csc^2θ
    10·1 answer
  • Help Please! Answer ASAP!
    8·2 answers
  • What are the roots of the quadratic function in the graph?<br> -15<br> -5,3<br> -5,-3<br> -3,5
    8·2 answers
  • Simplify y 2 + 4y - 16y + 3y 2.
    15·1 answer
  • ~~~°°Solve 15x+2=17~~~°°
    9·2 answers
  • A perimeter of a square is represented by the expression 32x - 12.8 find the side length of the square and 3 equivalent expressi
    13·1 answer
  • Janice sold candy at a recent football game. Each bag of candy sold for $3.50. In total, Janice sold $70 worth of candy. Let c b
    5·1 answer
  • Help me with this pls
    8·1 answer
  • Write 0.2 repeating as a fraction in simplest form.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!