A town's population is 38,200. About 100 people move out of the town each month. Each month, 150
people on average move into town. A nearby town has a population of 40,400. It has no one moving in
and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Write an equation to model the situation. Then solve the equation
and answer the question.

Answers

Answer 1

Answer:

in 11 months

Step-by-step explanation:

y=50x+38,200

y=-150x + 40,400

Answer 2
11 months. please mark me brainliest

Related Questions

How many tables that seat eight are required to provide places for 62 people at a banquet

Answers

Answer:

8

Step-by-step explanation:

62 divided by 8 is 7.75

you can't cut people so round it up and you get 8

What is the slope of the line that is perpendicular to the line containing the points (5,-2) and (8,-3)?

Answers

Answer:

3

Step-by-step explanation:

m=y2-y1/x2-x1

-3+2/8-5

-1/3

perp. = negative reciprocal

3

what is measurement

Answers

Measurement is the numerical quantitation of the attributes of an object or event, which can be used to compare with other objects or events. The scope and application of measurement are dependent on the context and discipline

Ans Measurement is the process of comparing and unknown physical quantity with a known or standard one.

Josh worked 30 hours last week and earned $8.50 per hour. If $32.50 was withheld from his paycheck, what was Josh's net pay?

Answers

Answer:

$222.50

Step-by-step explanation:

Hours Josh worked last week = 30

Money earned per hour = $8.50

Money withheld = $32.50

Josh's net pay = (30 x 8.50) - 32.50

                        = 255 - 32.50

                        = $222.50

Pls mark as brainliest <3

Given w= √ 2(cos(pi/4)+isin(pi/4)) and z=2(cos (pi/2)+i sin (pi/2)) what is w-z expressed in polar form?

Answers

Answer:

It is B.

Step-by-step explanation:

Edge2021

[tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

What is complex number?

"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex] "

What is polar form of complex number?

"The polar form of complex number z = x + iy is [tex]z=r~(cos\theta+i~sin\theta)[/tex] where [tex]r=\sqrt{x^{2} +y^{2} }[/tex] and [tex]\theta=tan^{-1}(\frac{y}{x} )[/tex]"

For given question,

We have been given two complex numbers in polar form.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} ))[/tex] and [tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))[/tex]

We simplify above complex numbers.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} )) \\\\w=\sqrt{2}(\frac{1}{\sqrt{2} } +i~ \frac{1}{\sqrt{2} } ) \\\\w=1+i[/tex]

And the second complex number is,

[tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))\\\\z=2(0+i~1)\\\\z=0+2i[/tex]

Now if we find the value of w - z

⇒ w - z = (1 + i) - (0 + 2i)

⇒ w - z = 1 - i

Now we find the polar form of complex number.

[tex]r=\sqrt{1^{2} +(-1)^{2} } \\\\r=\sqrt{2}[/tex]

And the value of [tex]\theta[/tex] would be,

[tex]\theta=tan^{-1}(\frac{-1}{1} )\\\\\theta=tan^{-1}(-1)\\\\\theta=\frac{3\pi}{4}[/tex]

So, w - z in the polar form would be [tex]1+i=\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Therefore, [tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Learn more about the complex numbers here:

https://brainly.com/question/17162901

#SPJ3

HELP PLEASE AND THANK YOU!!

Answers

4/7 make into slope form which will get you that

Natasha invests $600 in a different bank, she gets $60 after two years workout the interest rate that the bank pay

Answers

Answer:

hope this helps....... anyways try this

Simplify. Rewrite the expression in the form 9^n.


{9^7}{9^5}

Answers

5. +. 7. Is 13. 9^13.

The bottle is completely full at 11:40 a.m.


Which statements help explain this result? Check all that apply.

The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.
The bottle was 1/2 full at 11:35 a.m. and more bacteria were added to fill the bottle.
Exponential growth involves a constant multiplicative rate of change.
Exponential growth involves a constant additive rate of change.

Answers

Answer:

A,B,D

Step-by-step explanation:

Answer:

A,B,D

Step-by-step explanation:

37+99+-x-is it scaling or isosceles or equilateral

Answers

Answer:

scalene triangle

find the slope of the line parallel to the coordinates -5, 1 and -1, 2

Answers

Answer:

m = 1/2 or 0.25

Step-by-step explanation:

Brainliest Please!!

£800 is invested for 3 years at 2% simple interest per year. work out the total interest.

show working out pls I will mark the brainest ​

Answers

Answer:

848.97

Step-by-step explanation:

[tex]800(1 \ + \frac{2}{100} ) {}^{3} [/tex]

= 848.9664

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3​

Answers

Given:

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).

To find:

The coordinates of point P.

Solution:

Section formula: If a point divide a line segment in m:n, then the coordinates of point are

[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get

[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]

[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]

[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]

[tex]P=\left(-1,4\right)[/tex]

Therefore, the coordinates of point P are (-1,4).

What is the type slope?
Please help

Answers

Answer:

its positive

Step-by-step explanation:

because the line going upward

Answer:

positive

Step-by-step explanation:

What is the 6th term in the arithmetic sequence below?
-2,5, 12, 19, 26, -, ...
A. 33
B. 34
C. 7
D. 8

Answers

The common difference is 7
Going up by 7 each time
26 + 7 = 33
The solution is A. 33

What is 27 times 30 to the power of 2?(“real” question)

Answers

Answer:

24300

Step-by-step explanation:

first find the square for 30 * 30

then multiply!

Write (2x10) + (9 x 1) + (7 x 0.10 ) + (8 x 0.001) in standard form.

Answers

Answer:

hi

Step-by-step explanation:

Estimate the quotient: 1628 ÷ 8

Answers

Answer:

203.5

Step-by-step explanation:

Please mark brainliest.

Answer:

Answer is: 203.5

Step-by-step explanation:

Hope this helped YOU! :)

confused :( please help!!!!

angles are confusing aaaaaa

Answers

Answer:

22

Step-by-step explanation:

Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.

90-68= 22

Answer:

29

Step-by-step explanation:

Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?

Answers

Step-by-step explanation:

A. Where do you see circles and semicircles in the world around you?

1. Ring.

2. Earing

3. Coin

4. Hockey puck

5. Car tyre

6. Dartboard

7. Wreath

8. Plate

9. Hula hoop

10. Mercedes logo

11. Bass drum

12. Drain

B. Why could finding the area or circumference be helpful?

Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them

Solve for x: 10(x + 1) = 2x - 7

Answers

Answer:Simplifying

x = -2.125

Step-by-step explanation:Add '-10' to each side of the equation.

10 + -10 + 8x = -7 + -10

Combine like terms: 10 + -10 = 0

0 + 8x = -7 + -10

8x = -7 + -10

Combine like terms: -7 + -10 = -17

8x = -17

Divide each side by '8'.

x = -2.125

Simplifying

x = -2.125

Answer: x=-17/8


First, distribute the 10

10x + 10 = 2x - 7

Next, move the x-values to one side

8x = -17

Now, isolate the x by dividing both sides by 8

x = -17/8

can someone please help me out its due very soon,

Answers

Answer:

yes it is ok

Step-by-step explanation:

40 ok equate

Please help me ...........................

Answers

Answer:

Carla's dog =15 pounds

Paula's dog= 45 pounds

60÷4=15,so Carla's dog weighs 15 pounds and Paula's dog weighs 45 pounds

Step-by-step explanation:

divide 60 by 4 and multiply your answer (15) by 3

HELP I WILL MARK BRAINLIESTTT!!!

Answers

Answer:

D

Step-by-step explanation:

I know this stuff

solve:4^x-2+2*2^2x-1=1 whole 1/6​

Answers

Answer:

64

Step-by-step explanation:

)3£56::?£

yerk

v hi is

)(5_-

Whoever answers right first gets brainliest. :)
A file that is megabytes is being downloaded. If the download is complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Hi there! There are no numbers listed, therefore I'm unable to do answer your question. Are there numbers included in the problem?

A trail bike that was originally $895 went on sale for 15% off the original price. Additionally, a sales tax of 8.125% was applied to the purchase of the bike after the discount was applied. Which of the following was the total cost, including tax, of the bike purchased with the discount?​

Answers

Answer: I believe the answer is $822.56.

Step-by-step explanation: Hope this helps :)

find the amount and the compound interest on rupees 12000 at 6% p.a. compounded half yearly for 3/2 years ​

Answers

Answer:

A= ₹3,112.72

CI = ₹1,112.72

Step-by-step explanation:

Here P = ₹ 12000

Since, interest is compounded half yearly.

Therefore, R = 6/2 = 3%

n = 3/2* 2 = 3 half years

[tex] \because A= P\bigg(1+\frac{R}{100}\bigg)^n [/tex]

[tex] \therefore A= 12000\times \bigg(1+\frac{3}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(\frac{100+3}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(\frac{103}{100}\bigg)^3 [/tex]

[tex] \therefore A= 12000\times \bigg(1.03\bigg)^3 [/tex]

[tex] \therefore A= 12000\times 1.092727 [/tex]

[tex] \therefore A= 13,112.724 [/tex]

[tex] \therefore A=Rs. \:13,112.72 [/tex]

CI = A - P

CI = 13,112.72 - 12000

CI = ₹1,112.72

Select all the ratios that are equivalent to 9: 6.
06:9
18:12
13:10
0 3:2
O 7:5

Answers

Answers:

18:12

3:2

Step-by-step explanation:

9:6 = 9 * 2 : 6 * 2 = 18:12

9:6 = 9/3 : 6/3 = 3:2

Hope this helps.

Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)

please help! id give you master brainlist.

Answers

Answer:

w + j + s = total amount of beverages

Step-by-step explanation:

The first person is correct.

W+J+S= the amount of beverages he bought.

Water plus Juice and Soda. You have to add them all up to get the total he bought for everyone.

Hope this helps you.
:)
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