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]
3 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]3 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
Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-interc
Oksi-84 [34.3K]

The point slope form of the line has the following form:

y – y1 = m (x – x1)

 

The slope m can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (3 - 0) / (0 – 4) = - ¾

 

So the whole equation is:

y – 0 = - ¾ (x – 4)

y = - ¾ (x – 4) or

<span>y = - 0.75 (x – 4)</span>

7 0
3 years ago
You paint 1/3 of a wall in 1/4 hour. At that rate, how long will it take you to paint one wall?
jeka57 [31]
It will take you 3/4 of an hour, or 45 minutes to paint 1 wall.
8 0
3 years ago
Read 2 more answers
Please help as soon as possible
muminat

Answer:

D, E

Step-by-step explanation:

In the table, r = 3p, and by converse, p = 1/3r. These options are D and E

7 0
2 years ago
Read 2 more answers
What integer represents this scenario: adding 2 stuffed animals to a collection<br> -2 or 2
denis23 [38]

When you add something, you gain more of it. Therefore, it should be positive 2


2

7 0
3 years ago
Express 16% percent as a fraction in the simplest form
MissTica
STEP BY STEP EXAMPLE:

Convert 16% to Fraction
The exact form of the fraction is 425.
7 0
1 year ago
Other questions:
  • Amy has 20 pounds of raisins she divides the raisins equally into 12 bags how many pounds of raisins are in each bag tell how ma
    14·1 answer
  • 3. State if each statement is correct. If it is not correct, then fix the mistake.
    15·1 answer
  • Pleaseee answer quick
    8·1 answer
  • Write the equation of the line given the slope and the point that it passes through.
    6·1 answer
  • Mark opens a bank account with $20. He plans to put in $5 each week.
    14·1 answer
  • You borrow $500 to goon a trip. The bank charges 11% interest for 2 years. Find the interest
    9·2 answers
  • last year, Nicole biked n miles. This year, she biked 524 miles. Using n, write an expression for the total number of miles she
    5·1 answer
  • The amount y (in dollars) that you earn by working x hours is represented by the equation y = 9x. A) What is the slope? B) What
    13·1 answer
  • PLZ ANSWER!!! IF YOU ANSWER U GET 20 POINTS<br> Find |-65|.<br><br> 0<br> 65<br> -65
    13·2 answers
  • The number of 90° angles formed by the intersections of and the two parallel lines and is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!