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
Paraphin [41]
3 years ago
13

The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)

Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0

Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

1)

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

A = 2082.8571 ; 2083 million people

3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

You might be interested in
Please help thank you !
Musya8 [376]

Answer:

6.6 cm and 14.6 cm

Step-by-step explanation:

(a)

the length of arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × \frac{95}{360}

     = 2π × 4 × \frac{95}{360}

     = 8π × \frac{95}{360}

     = \frac{8\pi (95)}{360}

     ≈ 6.6 cm ( to the nearest tenth )

(b)

the perimeter (P) of sector AOB is

P = r + r + AB = 4 + 4 + 6.6 = 14.6 cm

5 0
2 years ago
Read 2 more answers
Evan, Claire, Jaya and Tim are running a 3km relay race.
Kruka [31]

Answer:

Tim needs to finish 59/90

Step-by-step explanation:

Add together what Evan Claire and Jaya ran  

9/10 + 7/9+ 2/3

The common denominator is 90

9/10 (9/9) +7/9 *10/10  + 2/3 *30/30

81/90 + 70/90 + 60/90

211/90

We need 3 km = 3 *90/90 = 270 /90

270/90 - 211/90 = 59/90

5 0
3 years ago
Answer this question ASAP
Olin [163]

Answer: start at -3 on the graph then go up one to the right 4

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Find the distance between the two points (2,5) and (6,-1)
Reptile [31]

Answer:

= \sqrt{52} units

Step-by-step explanation:

x₁ = 2 ; y₁ = 5

x₂ = 6 ; y₂ = -1

D = \sqrt{(x₂ - x₁)² + (y₂ - y₁)²}

   =\sqrt{(6 - 2)² + (-1 -5)²}

   =\sqrt{4² + (-6)²}

   = \sqrt{16 + 36}

D = \sqrt{52} units

7 0
3 years ago
Read 2 more answers
Convert the following base numbers​
topjm [15]
350 because of the concert I’m just kindling I need points
5 0
2 years ago
Other questions:
  • What is 50% of 35???? Help pls
    10·2 answers
  • The perimeter of a triangle is 19z-7. One side is 5z-9 and one side is 8z+3. What is the remaining side ?
    8·1 answer
  • What is the x-coordinate of the solution for the system of equations?
    6·1 answer
  • Joseph walked home from school. He walked 1/5 of a mile in 1/10 of an hour. How many miles did Josheph walk per hour.
    12·2 answers
  • PLZ HELP 50 POINTS!!! Write a summary of what you have learned about rate of change.
    14·2 answers
  • Can someone please help me with my homework:(
    14·2 answers
  • What is 15(2x – 3y + 5x) = ?
    8·1 answer
  • Anybody know the answer?
    7·1 answer
  • -2/3x+y=8 solve for y
    14·2 answers
  • What is the decay factor that corresponds to a product that decreases its value first by 20%, and than decreases by 40% of its v
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!