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
runben sees 14 wheels on a total of 6 bicycles and tricycles how many bicycles and tricycles are there
olganol [36]

Answer:

B = 4

T = 2

Step-by-step explanation:

First, figure out the equation.

We know that bicycles have 2 wheels, that there are 3 on a tricycle, and there are a total of 14 wheels and a total of 6 bicycles and tricycles.

Let b stand for bicycles and t stand for tricycles:

14 = 2b + 3t

6 = b + t

We can figure out the amount of either by rearranging the second equation to isolate one variable. I will solve it in two ways

In the first way, I will solve for b

(-t) 6 = b + t (-t)

6 - t = b

Plug this into the first equation and solve for remaining variable

14 = 2(6 - t) +3t

14 = 12 - 2t + 3t

14 = 12 +t

-12   -12

2 = t

6 - 2 = b

b = 4

The second way was to solve for t first

(-b) 6 = b + t (-b)

6 - b = t

14 = 2b + 3(6 - b)

14 = 2b + 18 - 3b

(-18) 14 = 18 -b  (-18)

-4/-1 = -b/-1

b = 4

6 - 4 = t

t = 2

It doesn't matter which way you go, they both give you the exact same answer.

Sooo, recap!

1) write equations

2) switch the easier of the two to isolate one variable

3) substitute to find other variable  (x2)

4) Find answers! =D

Hope this helps!

8 0
2 years ago
Find x. Assume that segments that appear tangent are tangent.
kipiarov [429]
Assuming that CB is tangent, this is just a right triangle with a hypotenuse of 20 and a side of 12 so by the Pythagorean Theorem:

20^2=12^2+x^2

400=144+x^2

x^2=400-144

x^2=256

x=16
6 0
3 years ago
43: PLEASE HELP Write the equation 22x-2y-10 in slope-intercept form
Gnoma [55]

Answer:

y= 11x -5

Step-by-step explanation:

I believe you rearrange it to get y on one side of the equation so,

2y= 22x-10

and then divide 2 on both sides to get,

y=11x-5

7 0
3 years ago
Use two unit multipliers to convert 56 centimeters to feet
krek1111 [17]
You would do 56 centimeters times 1 inch per 2.54 centimeters times 1 foot per 12 inches. 

Mathematically, it will look like (56 * 1) / (2.54* 12) = approximately 1.837

In sentence form: There are approximately 1.837 feet in 56 centimeters. 
6 0
3 years ago
A three-digit number between 100 and 200 is prime. The number, formed by the last two digits of it is also prime. The two last d
wolverine [178]
113  is one number. 131 is another
137, 173

I think that's all of them.

You can check if you google 'list of primes'.

Hold on  i'm not sure about 113 and 131 Is number 1 a prime number?  I dont think it is , So  that leaves us with  only 137 and 173.


3 0
3 years ago
Other questions:
  • Which is the larger value below?<br> A) 9.54 x 10-3<br> B) 6.54 x 10-4
    7·2 answers
  • Can someone tell me the procesa of a ratio 6th grade math plzzz
    11·1 answer
  • Janet, Kay, and Lam are hiking. Lam forgot to bring water. Janet brought 2 gallons of water and Kay brought 1 3/4 gallons of wat
    6·1 answer
  • On a piece of paper, draw a box plot to represent the data below. Then
    8·1 answer
  • Suppose you have a pocketful of change. You have some pennies (p) and some quarters (q). One expression could be used to describ
    14·2 answers
  • The Science Club went on a two-day field trip. The first day the members paid $60 for transportation plus $11 per ticket to the
    6·1 answer
  • A music store marks up the instruments it sells by 30%.
    6·2 answers
  • 3. What multiplication expression<br> represents 7 + 7 + 7 + 7?
    12·1 answer
  • Jason is pulling a box across the room. He is pulling with a force of 19 newtons and his arm is making a 30 angle with the horiz
    9·2 answers
  • Work is due in 2 hours​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!