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
motikmotik
3 years ago
5

An island population of 20,000, grows by 5% each year, compounded continuously. How many inhabitants will the island have in 5 y

ears according to the exponential growth function?
Mathematics
2 answers:
TEA [102]3 years ago
5 0

Answer:

Step-by-step explanation:

Initial population of people living in the island is 20,000

P = 20,000

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the population was compounded is 5%. So

r = 5/100 = 0.05

It was compounded for 5 years. So

t = 1

the exponential growth function is expressed as

A = P(1+r/n)^nt

A = total population in the island at the end of t years. Therefore

A = 20000 (1+0.05/1)^1×5

A = 20000×1.2762815625

A = 25525.63125

The number of inhabitants that the island will have after 5 years is approximately 25526 people

vekshin13 years ago
4 0

Answer:

25680

Step-by-step explanation:

A=Pe^rt

A=20000e^((0.05)(5))

A=20000e^(.25)

A=25680.508

You might be interested in
How do I find the volume of this?​
lorasvet [3.4K]

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

64π*5=320πcm^3

We now have the volume of the cube and the volume of the cylinder, so now we just add them:

(64+320π) cm^3

7 0
3 years ago
Is this a function? Yes or no<br> {(2,3), (-3,5),(2,6), (-1,0), (3,7)}
mixas84 [53]

Answer:

no

Step-by-step explanation:

5 0
3 years ago
Please help me graph question
iogann1982 [59]

Answer:

Step-by-step explanation:

Put in the form of y = Ax + B

x + 2y = 10

2y = -x + 10

y = -½x + 5

has a slope of -½ and a y intercept of 5

-x + 4y = 8

4y = x + 8

y = ¼x + 2

has a slope of ¼ and a y intercept of 2

4 0
2 years ago
Please help me with this question ​
gayaneshka [121]

9514 1404 393

Answer:

  D

Step-by-step explanation:

The leading term is of odd degree and negative coefficient. The odd degree tells you the end behaviors will have opposite signs. The negative coefficient tells you the left end behavior will be positive, and the right end behavior will be negative.

  \textbf{D.  }\lim\limits_{x\to -\infty}f(x)=\infty\quad\lim\limits_{x\to \infty}f(x)=-\infty

5 0
3 years ago
Find the sum of an 8-term geometric sequence when the first term is 7 and the last term is 114,688 and select the correct answer
Leya [2.2K]
It is multiplied by 4 each time.
7 0
3 years ago
Read 2 more answers
Other questions:
  • A car travels 350 miles on 20 gallons of gas how many gallons will be used to travel 875 miles
    11·1 answer
  • The government department responsible for laws concerning work is the _____.
    13·2 answers
  • What is the reciprocal of 3 3/7
    11·2 answers
  • Guys I really need help with these too thanks u before!!!!
    6·1 answer
  • Frank’s bookshelf is 112 meters high. Each row in the bookshelf is 316 meters high. How many rows are there in Frank’s bookshelf
    6·2 answers
  • What is<br>12.5% of 200?​
    10·2 answers
  • Which of the following is not a rate?
    11·1 answer
  • John and Anna both work at the movie theatre. John makes $45 for 3 hours of work and Anna makes $90 for 6 hours of work. Do John
    5·1 answer
  • The next number in the arithmetic sequence 15, 22, 29, is: <br><br>A) 34<br>B) 35<br>C) 36<br>D) 37​
    13·1 answer
  • Translate then Solve for the variable:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!