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
jasenka [17]
3 years ago
9

In a certain region, 6% of a city’s population moves to the surrounding suburbs each year, and 4% of the suburban population mov

es into the city. A 2019 census measures 10,000,000 residents in the city and 800,000 in the suburbs. (a) Set up a difference equation (of the form ~xn+1 = A~xn) that describes this situation, where ~x0 is the initial population in 2019. (b) Estimate the populations in the city and suburbs two years later, in 2021.
Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Following are the differential equation:

\to P(C,S)t+1 = P(C,S)t+(- 0.06Ct +0.04St, 0.06Ct - 0.04St ) \ \ \ \\\\or \ \ \ \ \ \ \ \\\\ \to (0.94Ct + 0.04St, 0.96St + 0.06Ct)

In equation:

\to t = 0, \ as \ 2019\\\\\to Ct = 10,000,000  \\\\\to St = 800,000,000\\

\to P(C, S)1 = (0.94Ct + 0.04St, 0.96St + 0.06Ct) \\\\

                   = (0.94(10000000) + 0.04(800000), 0.96(800000) + 0.06(10000000))\\\\ = (9,400,000 + 32,000), (768,000 +6000000))\\\\ = (9432000, 1368000)

\to P(C, S)2 = (0.94(9432000) + 0.04(1368000), 0.96(1368000) + 0.06(9432000))

                  =(8,866,080 + 54,720), (1,313,280 + 565,920)\\\\=(8,920,800, 1,879,200)

You might be interested in
Henry made a total of $125.63 last week and worked a total of 18.25 hours. He divides 125.63 by 18.25 and got 6.88384. What does
Iteru [2.4K]
125.63 (dollars) / 18.25 (hrs) = 6.88384 dollars per hr....he just figure out what he made per hr...and when rounded, he made about 6.88 per hr
5 0
3 years ago
Read 2 more answers
Just need to know how to solve
daser333 [38]

Answer:

so where the points are on the triangles is where you would go side to side and up and down

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can somebody helppp ??
mario62 [17]

Answer:

10

Step-by-step explanation:

Since F is the midpoint of EG, EF and FG are equal. We know that FG is 4 units, so EF must be 4 units. We also know that FH and EF make EH, so we substitute the values that we have.

FH + EF = EH

6 + 4 = EH

EH = 10

3 0
3 years ago
Read 2 more answers
A bowling alley charges $2.50 per game plus $4 to rent shoes. A second bowling alley charges $4 per game plus $1 to rent shoes.
adelina 88 [10]

Answer:

The person would have to play 2 games for the two bowling alleys to cost the same amount

Step-by-step explanation:

Assume that the number of games that makes the two costs equal is x

∵ A bowling alley charges $2.50 per game plus $4 to rent shoes

∵ The number of games is x

∴ The cost = 2.50x + 4

∵ A second bowling alley charges $4 per game plus $1 to rent shoes

∵ The number of games is x

∴ The cost = 4x + 1

∵ They have the same cost

→ Equate the 2 expressions above

∴ 4x + 1 = 2.50x + 4

→ Subtract 2.50x from both sides

∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4

∴ 1.50x + 1 = 4

→ Subtract 1 from both sides

∵ 1.50x + 1 - 1 = 4 - 1

∴ 1.50x = 3

→ Divide both sides by 1.50

∴ x = 2

∴ The person would have to play 2 games for the two bowling alleys to

   cost the same amount

7 0
2 years ago
Which expression is equivalent to the given expression? 17x−32x x(17−32) x(32−17) 17x(1−32) 17(x−32)
Scilla [17]
The answer would be 17(x-32)
7 0
3 years ago
Other questions:
  • A tool set is on sale for $424.15. The original price of the toolset was $499.00. What percent of the original price is the sale
    8·2 answers
  • Solve:<br> -3/4+p=1/2<br> Thank you so much!
    12·1 answer
  • Sara has a loan for $1800 at a rate of 16% annually. How much interest will she pay in 4 years?
    14·1 answer
  • Which fraction is between 0 and 1/2
    9·1 answer
  • you have $85 in your bank acount. each week you plan to deposit $8 from your allowance and $15 from ypur paycheck. the equation
    12·2 answers
  • What inequality is represented by this graph. A. X&gt;6 b.x&lt;_6 c. X&lt;6 D. X&gt;_6
    13·1 answer
  • Please help much appreciated ​
    8·1 answer
  • Which expression gives the distance between the points
    12·1 answer
  • Solve using quadratic formula for 2x^(2)-10x+5=0
    8·1 answer
  • Can you help me with 4, 5, 6?<br>I don't even know if number 4 is right.​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!