The current population of a small city is 37000 people. Due to a loss of jobs, the population is decreasing by an average of 275 people per year. How many years (from now) will it take for the population to decrease to 35350 people?

A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use x as your variable and use no commas in your equation.
The equation is:

B) Solve your equation in part [A] for x.
Answer: x=

Answers

Answer 1

Part A

x = number of years

275x = number of people that left the city after x years go by

37000 - 275x = number of remaining people after x years

37000 - 275x = 35350  is the final answer to part A

=======================================================

Part B

37000 - 275x = 35350

-275x = 35350 - 37000

-275x = -1650

x = -1650/(-275)

x = 6

It takes exactly 6 years to have the population reach 35350.


Related Questions

What is the ones digit in the number 2^2076Hint: Start with smaller exponents to find a pattern.
Answer

Answers

Answer:

Step-by-step explanation: i think 9 the 9 is in one digits

Find the sum of (4.9 × 10^−9) and (7.4 × 10^−10). Write the final answer in scientific notation.
5.64 × 10^−9

5.64 × 10^−10

1.23 × 10^−18

12.3 × 10^−19

Answers

Taking into account the scientific notation, the result of the sum is 5.64×10⁻⁹.

Scientific notation

Scientific notation is a quick way to represent a number using powers of base ten.

The numbers are written as a product:

a×10ⁿ

where:

a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.n is an integer, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.

Sum in scientific notation

To add two numbers in scientific notation, when the numbers to be added do not have the same base 10 exponent, the base 10 power with the highest exponent must be found. In this case, the highest exponent is -9.

Then all the values ​​are expressed as a function of the base 10 exponent with the highest exponent. In this case: 7.4×10⁻¹⁰= 0.74×10⁻⁹

Taking the quantities to the same exponent, all you have to do is add what was previously called the number "a". In this case:

4.9×10⁻⁹ + 0.74×10⁻⁹= (4.9 + 0.74)×10⁻⁹= 5.64×10⁻⁹

Finally, the result of the sum is 5.64×10⁻⁹.

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I need help for the Wednesday one

Answers

Answer:

Seth is correct.

Step-by-step explanation:

Complementary means that they add to 90 degrees.  Supplemental means that they add to 180.  147 + 33 equals 180 so they are supplemental.

Help please .
I can’t figure out magnitude . Can anyone help me ASAP ?

Answers

Answer:

|-20|    |12.3|     |8|     |-6|    |-4|     |2 3/10|      

Step-by-step explanation:

Magnitude in this context means that they want you to order the values from greatest to least.  These are all absolute values and that means distance from zero without regard to sign.  So if you just stripped the signs and absolute value symbols off of each value, then ordered them from largest to smallest, and THEN added the signs and absolute value symbols back, you have the answer.

Answer:

From greatest to least magnitude

|-20|

|12.3|

|8|

|-6|

|-4|

[tex]\lvert {2 \frac{3}{10}}\rvert[/tex]

Step-by-step explanation:

The absolute value of a number |x| is the positive value of x. So if x is positive then it's the number itself and if x is negative it is the positive value of the number

Ex. |5| = 5 and |-5| = 5

Take the absolute values of each of the numbers first

|12.3| = 12.3

|-20| = 20

|2 3/10 | = 2 3/10 = 23/10 = 2.3

|-4| = 4

|8| = 8

|-6| = 6

Now arrange these numbers from greatest to least. The order is

20,  12.3,  8,  6,  4,  2.3

So in terms of the original numbers this corresponds to
|-20| ,  |12.3| ,   |8|,   |-6| , |-4| , |2 3/10|

prove that the set of all xy=0 in R^n is not an open set

Answers

the set of all x y = 0 in R is not an open set.

x y = 0 in R is possible if

either x= 0y =0x = y = 0

So, the contains (0,0) , (0, any real number) ,...…..,

(any real number, 0) ,...…..

So, the set is not an open set.

Hence proved.

Therefore, the set of all x y = 0 in R is not an open set.

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Find the sum of 0.55 and 0.41 i need help

Answers

The answer is 0.96 because you need to add them together

can u guys please help me with is problem!! (ᗒᗩᗕ|||)​

Answers

Answer: 4 miles per hour

Explanation: Put in the calculator 1/7 divided by 1/28 and then you get 4. Also can I get the brainliest pls?

50 points please show your work and answer all of them

Answers

Answer/Step-by-step explanation:

Convert:

8m to _800_cm

K     H     D     B     D     C     M

                     8 -> 80 -> 800      

---------------------------------------------------------------------------------------------------

Interpret and simplify:

1 added to the difference of 12 and 9

1 + (12 - 9)

1 + (3) = 4

---------------------------------------------------------------------------------------------------

Write a positive or negative integer that represents the following:

A football team loses 14 yards on a play.

loses indicated a negative

-14

------------------------------------------------------------------------------------------------------

Evaluate:

  4          3

------- + -------

 20        12

  4 (3)     3 (5)

------- + -------

 20 (3)   12 (5)

 12          15         27

------- + -------  =  -------

 60        60         60

 27 ÷ 3           9

-------     =     --------

 60 ÷ 3          20

----------------------------------------------------------------------------------------------------------

Write the Prime Factorization of 24.

             24

            /    \

          2  ×  12

                  /  \

                2 × 6

                     /  \

                   2 × 3

Prime factorization = 2 × 2 × 2 × 3 or 2³ × 3

----------------------------------------------------------------------------------------------------------

Tell whether the ordered pair is a solution of the equation:

y = x + 7; (1, 6)

               (x, y)

6 = 1 + 7

6 = 8

Not a solution

----------------------------------------------------------------------------------------------------------

Simplify and Graph the following:

x = -2 - 3

x = -5

      ↑

<-----|--------------------------------->

      -5

      ↓

Don't worry about the other numbers. Put a dot on -5 and draw a line vertically (up and down).

----------------------------------------------------------------------------------------------------------

If the weight of a package is multiplied by (5/7). The result is 40.5 pounds. find the weight of the package.

x(5/7) = 40.5

---------  --------

÷(5/7)   ÷(5/7)

x = 56.7

----------------------------------------------------------------------------------------------------------

A = (1/2)bh

A= (1/2)(8)(5)

A = (1/2)(40)

A = (20)

A = 20in²

----------------------------------------------------------------------------------------------------------

I hope this helps!

Rieko has 10 pounds of nails. She divides the nails equally among 3 bags. How many pounds of nails does Rieko place in each bag?

Answers

A division is a process of splitting a specific amount into equal parts. The number of pounds Rieko place in each bag is 3.33 pounds.

What is division?

A division is a process of splitting a specific amount into equal parts.

We have,

Rieka has 10 pounds of nails and wants to divide it equally among 3 bags.

We need to divide the 10 pounds by 3.

The number of pounds in each bag:

= 10 pounds / 3

= 3.33 pounds

Thus the number of pounds in each bag is 3.33 pounds.

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On her way to her grandmothers house. Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by foot. If Jackie traveled 34 miles an hour how many miles did she travel by train?

Answers

Answer:

the answer is 136 miles

the answer is 136 miles.

3) A closed rectangular box with volume 12 cubic feet is such that the length of its base is twice
the width. Express the surface area of the box as a function of the width.
Point Breakdown
1) 8 points (4/4)
2) 6 points
3) 6 points

Answers

A closed rectangular box with volume 12 cubic feet is such that the length of its base is twice the width.The surface area of the box as a function of the width is (4b³ +36)/b.

volume 12 cubic feet

volume =(l)(b)(h)=12

l=2b

(2b)(b)(h)=12

h=6/b²

Surface area =  2 (lb + bh + lh)

 = 2((2b)(b) + b(6/b²) + 2b(6/b²))

=4b² + 12/b + 24/b

 = (4b³ +36)/b

A three-dimensional object's surface area is the sum of all of its faces. Real-world applications of the notion of surface areas include wrapping, painting, and finally constructing things to get the greatest potential design.

An object's surface area is the total area that all of its surfaces occupy. The formulae we will learn in this post make it simple to determine the various surface areas that various 3D forms in geometry have. There are two groups for the surface area:

The surface area that is laterally oriented or curved

Surface area overall

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At Gabby's family reunion, Gabby hands out watermelon for the annual seed-spitting contest
She gives a watermelon slice to each kid at the reunion. She also gives a slice to 25 adults.
Gabby hands out 55 watermelon slices in all.
Which equation can you use to find how many kids k are at the reunion?
k - 25 = 55
k
25
= 55
k + 25 = 55
25k = 55
Solve this equation for k to find how many kids are at the reunion.

Answers

The  equation which can be used  to find how many kids k are at the reunion is :k + 25 = 55

There are 30 kids at the reunion

What is algebraic expression?

Algebraic expressions are based on expressing numbers using letters  without indicating their actual values, such that we can determine the unknown variables by solving the expression or equation.

The total number of watermelons in this case is 55, if 25 slices are handed to the adults in the reunion gathering, the remaining one is the difference between 55 and 25 already served, which is known as k in this case.

total number of watermelons=55

number of adults=25

number of kids given watermelon=k

i.e k+25=55

k=55-25

k=30

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What are the vertex and x-intercepts of the graph of y = x2 – 4x – 21? Select one answer for the vertex and one for the x-intercepts. A. x-intercepts: (–3, 0), (7, 0) B. x-intercepts: (3, 0), (7, 0) C. x-intercepts: (3, 0), (–7, 0) D. Vertex: (2, 13) E. Vertex: (2, –25) F. Vertex: (–2, –9)

Answers

Answer:

To find x-intercept ,let y=0

0=x²-4x-21

(x+3)(x-7)=0

x=-3 or x=7

(-3;0) or (7;0)

To find vertex

x=

[tex] \frac{ - b}{2a} = x[/tex]

x=4/2=2

y=(2)²-4(2)-21=-25

(2;-25)

choose A and E

B is between A and C. If
AB=x+4 , BC=2x−2 , and AC=4x−1 , what is AB?
AB= (geometry someone help)

Answers

If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units

The point B is between A and C

AB = x+4

BC = 2x-2

AC = 4x-1

We know,

AC = AB + BC

Substitute the value in the equation and find the value of x

4x-1  = x+4  + 2x-2

4x-1 = 3x-2

4x-3x = -2+1

x = -1

Then,

AB= x+4

Substitute the value of x in the equation

AB = -1+4

AB = 3 units

Hence, If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3  units

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9 divided by 836 step by step

Answers

Answer: 92 [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

836/9=

(800+36)/9=

800/9 + 36/9=

800/9 + 4 =

(792+8)/9 + 4=

792/9 + 8/9 + 4=

88 + 8/9 + 4=

88+4+8/9=92 [tex]\frac{8}{9}[/tex]

Help!! Find the domain of the graphed function.

Answers

it would be b, x is greater than or equal to 0

if you were to look at the x coordinates from any point in the function, it’s always more than 0 (the first point is 0). every x point is greater than 0 so it can’t be all real numbers since that would include negative x coordinates

what are the missing lengths for the triangle 45 45 5v2

Answers

3.5355339 cm are the missing lengths for the right triangle.

What is right triangle ?

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2 call "n" the measure of one of the legs

n√2=5

n=5/√2

multiply both terms by √2

n=5√2/2, or...

n=2.5(1.4142136)

n=3.5355339 cm (round as needed)

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The complete question is -

The length of the hypotenuse of a 45-45-90 triangle is 5 cm what is the length of each leg.

determine a series of transformations that would map polygon abcd onto polygon a'b'c'd​

Answers

Answer: a reflection across the y-axis and scaling it by a factor of 1/2

Step-by-step explanation: First, you need to reflect the shape over the y-axis to move it into the neighboring quadrant. After that, you scale the polygon down by a factor of 1/2, because the lengths of the line segments of A'B'C'D' are half the length of the original polygon, ABCD.

8. Gavin goes to the market and buys one rectangle shaped board. The
length of the board is 16 cm and width of board is 10 cm. If he wants to add
a 2 cm wooden border around the board, what will be the area of the
rectangle board?

Answers

160 cm² is the area of the rectangle.

What do we mean by rectangles?A rectangle is a closed two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal and parallel. Because a rectangle is a 2-D shape, it has two dimensions: length and width. The word rectangle is derived from the Latin word rectus, which means "right" or "straight." A rectangle has straight sides due to its right angles.Rectitude, which means moral uprightness, is another word with the same root.

The formula for the area of a rectangle:

l × b

Put values in the formula:

= 16 × 10= 160 cm²

Therefore, the area of a rectangle is 160 cm².

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7.8 x 10 3
--------------
1.2 x 10 4

Answers

Step-by-step explanation:

7.8 ×1000=7800.

1.2×10000=12000.

7800÷12000=0.65.

PLEASE HELP DUE SOON!
I'm so confused, help determine the 100th line segment from question below!

Answers

Answer:

20200

Step-by-step explanation:

As you're in a hurry, I can give it later? xx

can someone answer this please

Answers

can someone answer this please. done

Complete the statement.
x(y + 5) = x(__) + x(__)

Answers

Answer:

x(y + 5) = x(y) + x(5)

Step-by-step explanation:

Multiply the x to the variable and number in the parenthesis.

Can also be written xy + x5.

Ksjshshdieiwbehdjjejeebbejsjshs

Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40

Answers

Answer:

is correct

x^3 -7x^2+2x +40

multiply the constants of the factors (each factor has opposite sign of the zero)

(x+2)(x-4)(x-5)   2(-4)(-5) = 40,  that eliminates all but c) and d)

(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5)   by using FOIL on the 1st two factors

then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)

-5 times -2x = 10x,  x times -8 = -8x.   10x-8x = 2x which c) has but d) doesn't.

Step-by-step explanation:

Michael has $96 in savings and makes $12.00 an hour at his job. Greg has $128 in savings and makes $10.00 an hour his job. They both save all their earned money. How many hours they both have to work to have the same amount of money saved?

Answers

The computation shows that the hours that they both have to work to have the same amount of money saved is 16 hours.

How to calculate the function?

Based on the information given, let the number of hours be represented by h

Therefore, the first function for Michael will be:

96 + 12h

The second function for Greg will be:

= 128 + 10h

Therefore, we'll equate both equations. This will be:

96 + 12h = 128 + 10h

12h - 10h = 128 - 96.

2h = 32.

h = 32/2

h = 16 hours.

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Can someone please find x ?

[tex]\frac{4}{3} x- \frac{1}{3} = x + 7[/tex]

Answers

the value of x in the question is 22

How to determine the value of x?

The equation is given as

4/3x - 1/3 = x + 7

Multiply through by 3

4x - 1 = 3x + 21

Collect the like terms

4x - 3x = 1 + 21

Evaluate

x = 22

Hence. the value of x in the question is 22

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Which is the better deal? 16 oz of jelly for $3.30 or 48 oz of jelly for $8.64

Answers

Answer: The 48 0z of jelly for 8.64

Step-by-step explanation: because 16 oz of jelly is 3.30 and if you double it, it is $9.9

Answer:

48 Oz of jelly for $8.64

Step-by-step explanation:

16oz of jelly is $3.30 x 3 =$9.90

A parking lot is shaped like a parallelogram and bounded on four sides by streets, as shown in the figure to the right. How much asphalt (in square yards) is needed to pave the parking lot?

The amount of asphalt needed to pave the parking lot is __ yd^3, yd, or yd^2 ​

Answers

Amount of Asphalt needed =  27000 square yards

The shape of the parking lot is a parallelogram.

In the figure, the base of the parking lot is of length 180 yd and the height of the parking lot is 150 yd.

If 'b' is the base of the parallelogram and 'h' its height, then area of the parallelogram, A = bh

So here, base length, b = 180 yd

and height, h = 150 yd.

Therefore, area of the parking lot which is parallelogram, A = bh

                                                                                                   =  180 x 150

                                                                                                   = 27000 yd² (square yards)  

Amount of Asphalt needed to pave the parking lot = Area of the parking lot

                                                                                      = 27000 square yards  

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Mark won 83 lollipops playing hoops at
the county fair. At school he gave three to
every student in his math class. He only
has 8 remaining. How many students are
in his class?

Answers

Answer: 25 students

Step-by-step explanation:

Answer:

25 students

Step-by-step explanation:

83 lollipops - the 8 remaining lollipops = 75 lollipops

75 lollipops ÷ 3 ( the amount he gave to each student) = 25

3 lollipops per person

3 * 25 people = 75 + 8 (remaining)

Idrk what to name this but- just only answer if you are sure

Answers

Answer:

Put it on calculator

Step-by-step explanation:

Or multiple 7x10. And 10x10 to make the percentage from 100 it will be 70

If you don't understand don't be shy to ask you should learn from your mistakes

Answer:

C. 70%

Convert 7/10 into a decimal, 0.7, and then convert into a percentage, 70%. :)

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