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
Alecsey [184]
3 years ago
15

For the following exercise, consider this scenario: A town's population has been increasing at a constant rate. In 2010 the popu

lation was 45000 . By 2012 the population had increased to 51250 . Assume this trend continues linearly. Predict the population in 2016.
Mathematics
1 answer:
bazaltina [42]3 years ago
7 0

Answer:

63,750

Step-by-step explanation:

#Calculate the rate of change per year:

\bigtriangleup=\frac{2012 \ pop- 2010\ pop}{2012-2010}\\\\=\frac{51250-4500}{2}\\\\=3125

The population increasing by a constant of 3125 per year.

-Let x be the time in years

-The general form of a linear equation is

y=mx+c, c=45000\\\\\therefore y=mx\\\\y(x)=3125x+45000

The population in 2016 is therefore predicted as:

y=mx+c\\\\y(2016-2010)=3125x+45000\\\\y(6)=3125\times 6+45000\\\\=63750

Hence, the population in 2016 is 63,750

You might be interested in
WILL GIVE ALL MY POINTS working alone, machine a takes 2 hours to build a car, working alone machine b takes 3 hours to build a
kati45 [8]

Answer:

It will take Machine A 20 additional minutes.

Step-by-step explanation:

First we have get the rate of work per hour, Machine A builds 1/2 of a car per hour, while Machine B builds 1/3 of a car per hour.

Using this we can determine the amount of work that has been done so far in one hour before Machine B broke down:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Now we can produce an equation accordingly to determine how much time it'll take machine a to finish the job:

5/6 + 1/2x = 1

1/2x = 1/6

x = 1/3 hours = 20 minutes

Note: In the question you typed "how much additional time will it take machine b to finish" but I think you meant machine a because machine b broke down. Please correct me if I'm wrong.

Hope this helps! And let me know if you have any questions!

7 0
3 years ago
I need help on this diagnosis test question
DedPeter [7]
64% for carrot muffins
3 0
2 years ago
Please help! I can't figure this out, i'll give a brainliest
Rus_ich [418]

The linear equation that best fits the data is: y = 10x + 15.

<h3>How to Write the Linear Equation of a Data?</h3>

First, find the slope/unit rate (m) and the y-intercept/starting value, then substitute the values into y = mx + b.

Using two points on the graph, (1, 25) and (2, 35), find the slope (m):

Slope (m) = (35 - 25)/(2 - 1)

Slope (m) = 10/1

Slope (m) = 10

Substitute (x, y) = (1, 25) and m = 10 into y = mx + b to find b

25 = 10(1) + b

25 - 10 = b

b = 15

Substitute m = 10 and b = 15 into y = mx + b

y = 10x + 15

Learn more about the linear equation on:

brainly.com/question/15602982

#SPJ1

3 0
2 years ago
What is the solution to the system of equations?
Minchanka [31]

Answer:

  (1, –5)

Step-by-step explanation:

It is relatively easy to try the offered solutions to see what works.

<u>(1, -5)</u>

  3(1) +10(-5) = -47 . . . true

  5(1) -7(-5) = 40 . . . true

(1, -5) is the solution

_____

As a check, you can try some of the other choices:

<u>(1, 5)</u>

  3(1) +10(5) ≠ -47

<u>(-1, -5)</u>

  3(-1) +10(-5) ≠ -47

<u>(-1, 5)</u>

  3(-1) +10(5) ≠ -47

None of the other choices works in the first equation, so they're not the solution.

4 0
3 years ago
What quantity of a 30% solution do you need to make 150 mL of a 20% solution?
Bumek [7]

Answer:

Volume required = 100mL

Step-by-step explanation:

Let the volume of 30% solution required be = V mL

Amount of solute in V mL of solution = 30% of V = 0.3V...............(i)

This amount is also present in 150 mL of 20% solution

For 150 mL of 20% solution we have amount of solute = 150 mL X 20%

                                                                                          = 30..............(ii)

Thus equating i and ii we get

0.3V = 30

Thus V =100 mL

7 0
3 years ago
Other questions:
  • Can someone help me with this question me and my friends are fighting over it?
    14·1 answer
  • the elevation of the surface of the Dead Sea is -424.3 meters. In 2005 the height of Mountain Everest was 8,844.43 meters how mu
    12·2 answers
  • What is the following product? 4 square root 7
    7·2 answers
  • Which expression does the number line represent? A number line going from 0 to StartFraction 9 Over 4 EndFraction in increments
    6·2 answers
  • If I have an 83% percentage as my grade and I got 90% or 100% in one of my tests, what would be my final grade percentage?
    12·2 answers
  • Estimate the sum of 945 + 573 + 617 by rounding each number to the nearest hundred. ​
    9·2 answers
  • 45<br> 23<br> ​<br> +(− <br> 45<br> 23<br> ​<br> )
    11·1 answer
  • How do we do this please help.
    12·1 answer
  • Write 4 1/4% as a decimal (not as a percentage)
    9·1 answer
  • AHIJ has coordinates H(0, 0), I(-3, -1), and J-1, -2). Graph the triangle and its translation 3 units to the right and 2 units d
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!