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
Katen [24]
3 years ago
11

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect

ed population of each country in 2025, assuming their annual growth rates remain steady. Please show how to solve the problem.

Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

After 25 years the population will be:

  • Australia: 22271200
  • China: 1580220878
  • Mexico: 157380127
  • Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

 P(t) = P₀eʳᵗ

  • t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.
  • P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.
  • P₀ is the initial population at P(0)
  • r is the growth rate.<u><em> Don't forget to convert the percentage to its decimal form</em></u>

Now that everything is set out, lets use the equation to solve for our answer.

P(t) = P₀eʳᵗ

<u>Australia:</u>

P(t)=(19169000)e^{(0.006)t}

after 25 years

P(25)=(19169000)e^{(0.006)(25)}=22271200.6

<u>China:</u>

P(t) = (1261832000)e^{(.009)t}

after 25 years:

P(25)=(1261832000)e^{(.009)(25)}=1580220878

<u>Mexico:</u>

P(t) = (100350000)e^{(0.018)t}

after 25 years:

P(25)=(100350000)e^{(0.018)(25)}=157380127.8

<u>Zaire:</u>

P(t) = (51965000)e^{(0.031)t}

after 25 years:

P(25)=(51965000)e^{(0.031)(25)}=112794819.9

You might be interested in
Urgent algebra 2 help please
In-s [12.5K]

Answer:

y = 4x - 5

Step-by-step explanation:

y = mx + b

By putting above values in equation (i)

-1 = 4 (1) + b

-1 = 4 + b

-5 = b

b = -5

y = 4x - 5

5 0
1 year ago
For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/h
damaskus [11]

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

t_{1} =\frac{30}{v}           ( time=\frac{distance}{speed})

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

t_{2} =\frac{17}{v+2}

now total time t spent by the bicyclist to cover entire trip is given by

t=t_{1} +t_{2}

t=\frac{30}{v} +\frac{17}{v+2}

now if v=18 , we have

t=\frac{30}{18} +\frac{17}{20}

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}

t=\frac{453}{180} =2.52 hours (approx)

7 0
3 years ago
What is the length of the hypotenuse? 55 ft and 48 ft
34kurt

Answer:

\sqrt{55^2+ 48^2} = 73

Step-by-step explanation:

c=\sqrt{a^2 + b^2}

6 0
2 years ago
You buy books for 64 cents each, you plan to sell them for 75 cents each. You're left with 100 unsold books, and you lost $12. H
PSYCHO15rus [73]

The number of books sold is 473.

<u>Step-by-step explanation:</u>

  • The original cost of each book = $0.64
  • The selling price of each book = $0.75

The difference between the original price and selling price of the book gives the profit per book.

The profit of one book = Selling price - Original price

Let,

  • The total number of books be 'x'.
  • The number of books sold be 'y'.
  • The unsold books is 100.
  • The total profit is -12 because it was gone to a loss of $12.

Therefore, the equation is formed as

total Profit = 0.75y - 0.64x

⇒ 0.75y - 0.64x = -12 --------(1)

Total books = sold books + unsold books

x = y + 100

⇒ x-y = 100  -------(2)

Substitute x= 100+y in the eq(1),

0.75y - 0.64(100+y) = -12

0.75y - 64 -0.64y = -12

0.11y = -12 +64

y = 52 / 0.11

y = 472.7

y ≅ 473

The number of book sold is 473 books.

The total number of books is (100+473) = 573 books.

8 0
3 years ago
Length real-world example
Mariana [72]
The lenght of your ruler is 6inches or approximately 15cm.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Question number# 2 letter C
    12·2 answers
  • Express the complex number in trigonometric form.<br><br> 2 - 2i
    15·2 answers
  • Michael is taking a survey of students at his high school to find out how many hours they work per week. He surveys all of the s
    5·1 answer
  • The price s of a pair of shoes plus 5% sales tax
    10·2 answers
  • An athlete ran 1,200 laps around a track over a two month period. He ran 4 times the number of laps in the second month than he
    15·1 answer
  • A basketball player made 75% of her free throws in 10 games. She had 36 free throw tries. How many did she make?
    8·1 answer
  • The measure of an angle is two times the measure of its complementary angle. What is the measure of each angle?
    15·1 answer
  • What is the quotient of 8.8 x 107 and 8.0 x<br> 102 expressed in scientific notation?
    11·1 answer
  • What is the answer to this??<br> thank u if u help me! :)
    10·1 answer
  • Which equation describes the line graphed above?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!