The population of Westport was 43,000 at the beginning of 1980 and has steadily decreased by 1% per
year since.
Find the population at the beginning of 1994. Round to the nearest person.

Answers

Answer 1

Answer:

37356

Step-by-step explanation:


Related Questions

QUESTION: 600 ÷ ___ = 3?
SOURCE: i-Ready

Answers

Answer:

The answer is 200 I AM POSITIVE

Step-by-step explanation:

Mark me as branliest maybe??

How to factor 3x³+3x²-36

Answers

Answer:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Step-by-step explanation:

Firstly, divide all parts of the equation by 3:

[tex]3x^3 + 3x^2-36[/tex]

[tex]3(x^3 + x^2-12)[/tex]

Now focus on the equation:

[tex]x^3 + x^2-12[/tex]

We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:

1 12

2 6

3 4

1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:

[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]

We can confirm this is simplified by multiplying together:

[tex](x - 2) (x^2 + 3x + 6)[/tex]

[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]

= [tex]x^3 + x^2 - 12[/tex]

Meaning it is simplified.

Now, put the equations together:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Hope this helps!

Factor the Polynomial
6x3 - 16x2 + 21x - 56

Answers

Answer:

-1190

Step-by-step explanation:

I'm gonna do some sketchy stuff doda doda

the answer is (3x-8) (2x^2+7)

Holly buys a $22 shirt for 20% off. The tax rate in her city is 6.5%. What is the total amount she paid for the shirt? Round to the nearest cent.

Answers

Answer:

$18.74

Step-by-step explanation:

To find the sale price:

22 * 0.2 = 4.4

22 - 4.4 = 17.6

or, you can just multiply by 0.8, so you wont need to subtract later

22 * 0.8 = 17.6

Then, you need to find the tax amount:

17.6 * 6.5 = 1.144

17.6 + 1.144 = 18.744

Round

18.74

A box of candy has 7 red pieces, 3 orange, 2 yellow, and 8 blue pieces. You get to
pick two pieces of candy. If you reach into the box without looking, what is the
probability that you will pick a blue piece, not replace it an then a red piece of
candy?

Answers

The probability is 2/8
28/95


There are 20 pieces of candy. First, you find the probability of drawing a blue piece which is 8/20 which is reduced to 4/5. Then you find the probability of drawing a red piece. Since you have removed a blue piece, there are now 19 pieces instead of 20. So, the probability of drawing a red piece is 7/19. Since the question is asking the probability of drawing a blue piece THEN a red piece you multiply the two fractions together since they are dependent upon each other. So, (4/5)(7/19)= 28/95.

Hope this helped. :)

help please its hard​

Answers

Answer:

11

Step-by-step explanation:

Rewrite expression using given information:

20 - 3a + 2b = 20 - 3*7 + 2*6

20 - 21 + 12 = 11

Match the expression with it's simplified version:

Answers

Answer:

they are already matched

Step-by-step explanation:

Answer: (x^7)/(x^4) = x^3, x^(-3) = 1/(x^3), x^0 = 1, (x^4)/(x^3) = x

Step-by-step explanation:

Dividing two exponents with the same base can be simplified by subtracting the exponents. Thus (x^7)/(x^4) is the same as x^(7-4), or x^3.

A negative exponent is the same as the reciprocal of the positive exponent. x^-3 is the same as 1/(x^3).

Anything with an exponent of 0 is equal to 1.

Again, when dividing two exponents, if they have the same base, you can just subtract the exponents. (x^4)/(x^3) = x^(4-3) = x^1 = x.

How simplify -8/3 devided by -2/6

Answers

Answer:

The answer is 8

Step-by-step explanation:

-8/3 divided by -1x2 / 3x2

-8/3 divded by -1/3

-8/3 x 3 / 3 x -1 = -8/-1 =  8 x -1 + 0 / -1

= 8

So your answer is 8

Please mark Brainliest I answered First

Choose the scientific notation for 800.
O 8 x 10
O 8 x 102
O 8 x 103
O 8 x 100

Answers

Answer:

O [tex]8 * 10^2[/tex]

Step-by-step explanation:

Hope it helps

Peace out

^^ ^-^ :) ;) ~-~

How many unique three-letter sequences can be made from the word COMBINATORICS where no 2 letters can be the same?

Answers

Answer:

BIN

TIC

SIT

BIT

MOB

ROT

SIR

BAN

BAM

TAN

RAT

ROB

theres tons of words you can make, just take a few seconds and find as many as you can

Answer:

720

Step-by-step explanation:

the way I read this problem is like a Scrabble set. Start by getting a unique set of letters:

COMBINATRS

10 unique letters

10! / (10-3)!

10! / 7!

720

someone please help!​

Answers

The answer to the questions is c

Q1: The first three stages of a pattern are shown below. Each stage of the pattern is made up of small squares. Each small square has an area of one square unit. Stage 1 Stage 2 (a) Draw the next two stages of the pattern. (b) The perimeter of Stage 1 of the pattern is four units. The perimeter of Stage 3 Stage 2 of the pattern is 12 units. Find a general formula for the perimeter of Stage n of the pattern, where # EN. (c) Find a general formula for the area of Stage n of the pattern, where E N. (d) What kind of sequence (arithmetic, quadratic, geometric, or none of these) do the areas follow? Justify your answer.​

Answers

9514 1404 393

Answer:

  a) see attached for the drawings

  b) p = 8n -4

  c) a(n) = 4n(n -3) +13  for n > 1; a(1) = 1

  d) none

Step-by-step explanation:

a) The overall dimensions of the next two stages of the pattern will be 7×7 and 9×9. Excluding the 4 "ears", the central squares are 5×5 and 7×7. The drawings are shown in the attachment.

__

b) The sequence of perimeter values is ...

  4, 12, 20, 28, 36, ...

This is an arithmetic sequence with a common difference of 8. A suitable formula for the perimeter p of stage n is ...

  p = 8n -4

__

c) The sequence of area values is ...

  1, 5, 13, 29, 53, ...

The first differences are ...

  4, 8, 16, 24, ...

and the second differences are ...

  4, 8, 8, ...

At no level are the differences "common", so this sequence cannot be described by a polynomial function. After the first one, the second differences are common, so the sequence after the first term can be described by a quadratic function.

The function describing the sequence must be defined in two parts:

  [tex]a(n)=\begin{cases}1&\text{ for $n = 1$}\\4n(n-3)+13&\text{ for $n>1$}\end{cases}[/tex]

__

d) Because the function must be piecewise defined, the area sequence is not any of the types of sequences listed. After the first term, it is a quadratic sequence.

_____

Additional comment

The leading coefficient of the quadratic formula for the area sequence is half the second difference. When 4n² is subtracted from the sequence of areas, the remaining arithmetic sequence has a common difference of -12. In order to bring the total of these quadratic and arithmetic sequences up to the correct area value, 13 must be added. This formula would give a(1) = a(2) = 5, which is not the correct value for a(1). Hence, that must be defined separately.

Simplify the expression x+4+5/x-2÷x+6+15/x-2

Answers

Answer:

hope this helps

pls mark as brainliest

Cassie has a box that is a cube with a side length of
4 inches. She needs a second box that has 3 times the
volume of the first box.

Answers

Answer: 192

Step-by-step explanation:

To find the volume of a shape, we multiply the length by the width by the height. Since this is a cube, we know that they are all 4, so we do 4 times 4 times 4. We get 64. SInce we know that Cassie needs a cube with a volume that is 3 times of the previous volume, 64, we multiply 64 by 3. The answer is 192.

Answer:

192 in³

Step-by-step explanation:

The volume of a cube is represented by raising one side length to the 3rd power.

4 x 4 x 4 = 64

64 is the volume of the first box.

The second box is 3 times the value of the third box, so the equation for the third box is:

64 x 3 = 192

PLEASE ANSWER ASAP
i can't figure out the answer

Answers

Answer is C have a nice day

Aria's height is 3 inches less than her brother's height. Her brother's height is unknown.
Which expression shows Aria's height? Use x for her brother's height.

Aria's height is 3 inches less than her brother's height. Her brother's height is unknown.
Which expression shows Aria's height? Use x for her brother's height.

A.x/3


B.3x


C.x + 3

D.x – 3

Answers

C is the answer I think

what is the product of 2 x 2 x 3 x 3 using an exponent?

Answers

Answer:

2^2 * 3^2

Step-by-step explanation:

2 * 2 * 3 * 3

We are multiplying 2 twos and we are multiplying 2 threes 3^2

The base is the number and the exponent is the number of the times

2^2 * 3^2

Given f(x) = 9-3x and g(x) = - 6x + 3, find (f + g)(x).

Answers

Answer:4

Step-by-step explanation:

help me again please 7⅕ ÷ ⅗ =

Answers

Answer:

7 3/5 is the correct answer

A jewelry store is having a sale, and all items are 15% off. If a necklace was originally price at $85.00, what is the sale price?

Answers

85*.15=12.75
85-12.75
72.25
The sale price is $72.25

solve pls brainliest

Answers

Hey there!

39 = - u / 6

MULTIPLY 6 to BOTH SIDES

39(9) = (-u / 6)(6)

CANCEL out: the RIGHT side

KEEP: the LEFT side because it helps solve for the u-value

NEW EQUATION: -u = 234

DIVIDE -1 to BOTH SIDES

-1u / -1 = 234 / -1

CANCEL out: -1 / -1 because it gives you 1

KEEP: 234 / -1 because it gives you the result of the u-value

NEW EQUATION: u = 234 / -1

SIMPLIFY IT!

u = -234

Therefore, your answer is: [u = -234]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

-234

[tex]u = ( - 6) \times 39 = - 234[/tex]

What is the product of 14.5×100

Answers

Answer:

1450

Step-by-step explanation:

Any number times 10 goes up one value.

ones become tens, and tens become hundreds etc..

87x10=870

And a number times 100 goes up two values.

23.5x100= 2350

hope this helped ;)

Step-by-step explanation:

you don't have a calculator ? with that you would have gotten the answer immediately.

so you had to write the question in here, need to wait for an answer, ...

but actually, this is very easy to solve even without a calculator, as this is how our decimal numbers work : based on powers of 10.

multiplying by 100 moves the decimal point 2 positions to the right (and fill up with zeros where necessary) :

14.5 × 100 = 1450

a multiplication by 10 moves the decimal point 1 position to the right.

a multiplication with 1000 3 positions to the right. and so on.

a division by 100 moves the decimal point 2 positions to the left (and fill up with zeros where necessary). and so on.

which reason could be used for statement 3??

Answers

Option 3, definition of congruent segments is the answer I'm pretty sure

4x^2y^7(-7x^6z^9+2y^3+6z^3)

Answers

Answer:

-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³

Step-by-step explanation:

1) Distribute

4x²y⁷(-7x⁶z⁹ + 2y³ + 6z³)

-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³

Answer:

-28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.

Step-by-step explanation:

4x^2y^7(-7x^6z^9+2y^3+6z^3)

Expanding:

= -28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.

How do I solve the following equation

Answers

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

-6-12=-1/4z
-18=-1/4z
Z=-18/-./25
Z=72

Plz check it

True or false? Please help.​

Answers

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

pls help
which trend line properly describes the data relationship in the scatterplot? ​

Answers

Answer:

The 2nd one

Step-by-step explanation:

The trend line properly describes the data relationship in the scatterplot is plot A.

What is Trend line?

A trend line is also known as a line of best fit, and it is used to illustrate the behaviour of a set of data to assess if it is in a given pattern. So, a trend line is an analytical technique that is frequently used in conjunction with a scatter plot to determine whether or not there is a relationship between two variables.

As, per the plots.

The scatter plot A have the points distributed symmetrically on the both side of line.

Also, straights lines are negatively correlated with scatter points.

Learn more about Trend line here:

https://brainly.com/question/22601112

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help dududidihendhhejrjfjf

Answers

Answer:

x = − 8

Step-by-step explanation:

Factor then solve to find the complex solutions.

What is the slope of the line that passes through the points (4, 10)(4,10) and (1, 10) ?(1,10)? Write your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

Slope = Δy/Δx

Slope = 10-10/4-1

Slope = 0/3

Slope = 0

It is a Horizontal Line

-Chetan K

Calculate A woman is walking at a rate of 0.5
m/s. Her mass is 62 kg. Calculate the woman's
kinetic energy in joules.

Answers

Answer:

7.75J

Step-by-step explanation:

kinectic energy formula = 1/2mv²

m mass

v velocity

1/2 x 62 x 0.5² = 7.75

A woman is walking at a rate of 0.5m/s. Her mass is 62 kg. The woman's kinetic energy in joules:

K.E. = 7.75 kgm²/s²

What is Kinetic Energy?

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

Given,

Mass = 62kg

Velocity = 0.5m/s

The formula for Kinetic Energy is :

K.E. = 1/2 m v².

K.E. = 1/2 (62)(0.5)²

K.E. = 1/2 (62)(0.25)

K.E. = 1/2 (15.5)

K.E. = 15.5/2

K.E. = 7.75 kgm²/s²

or

K.E. = 7.75 joules

Hence, he woman's kinetic energy in joules, K.E. = 7.75 kgm²/s²

To learn more about Kinetic Energy click on the link

https://brainly.com/question/8101588

#SPJ2

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