Suppose a town has a population of 5,000 residents but that the population is decreasing by 200 people each year. Write a linear function to represent the population of the town in terms of the numbers of years. After how many years will the town have a population of 1,800? When will the town have only 400 residents?

Answers

Answer 1

Answer:

it will take 16 years to reach a population of 1800 and in 23 years the population will be 400.

Step-by-step explanation:

population: 5000

population decreasing: 200x

y=5000-200x

(1800-5000)/-200

(400-5000)/-200


Related Questions

Please help!!!!

Identify the polynomial

1-3

Answers

Answer:

Step-by-step explanation:

christa went shopping for back to school clothes before tax was added on her total was $176 if the sales tax is 6% what was the total amount she paid

Answers

Answer:

$186.56

Step-by-step explanation:

$176 + 6% = 186.56

Kevin is looking at two brands of washing machines. between water and electricity, a brand c washer uses about $0.65 per load, and a brand d washer uses about $0.27 per load. kevin averages about five loads of laundry per month. after one year, how much more would the utility costs for a brand c washer be than the utility costs for a brand d washer? a. $22.80 b. $16.20 c. $7.60 d. $19.00 please select the best answer from the choices provided a b c d

Answers

Answer:

The answer is A. 22.80

Construct a box-and-whisker graph using the following data:

87, 94, 82, 78, 95, 91, 87, 83, 101, 83, 82, 77, 80, 102, 75

Answers

data given: {87, 94, 82, 78, 95, 91, 87, 83, 101, 83, 82, 77, 80, 102, 75}

arrange in ascending order:

75, 77, 78, 80, 82, 82, 83, 83, 87, 87, 91, 94, 95, 101, 102

Identify:

Q1 = 80Q2 = 83Q3 = 94IQR = 14Median = 83

Plot box-and-whisker graph:

Which phrase represents this expression?

35÷(12−5)

Select each correct answer.


(1) 5 less than the quotient of 35 and 12

(2) 35 divided by the difference of 12 and 5

(3) the quotient of 35 and the difference of 12 and 5

(4) the total of 35 and 12 is subtracted by 5

Answers

Answer:

answer 2(35 divided by the difference of 12 and 5

Answer:

2 and3

Step-by-step explanation:

Witch table matches?

Answers

Answer:

y=mx+b

Step-by-step explanation:

so i belive its c because half of 5 is 2.5 and the equation is y=0.5+14.

so half od 5 is 2.5+14=16.5

5times5 =..:.::.please help

Answers

Answer:

25 Lol

Step-by-step explanation:

Answer:

Your answer is 25.

Step-by-step explanation:

I hope this helps you :)

pls mark brainleist :P

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W/ <3...

Tori

A formula for the perimeter of a rectangle is P=2(l+w), where P is the perimeter, l is the length, and w is the width.

If the length of a rectangle is 64 centimeters and the width is 22 centimeters, what is the perimeter?

Answers

1408 because you need to multiply it to get the perimeter

A line passes through the point (-9,5) and has a slope of 2/3 what is the equation in point-slope form for this line

Answers

Step-by-step explanation:

y-y1=m(x-x1)

y-5=2/3(x+9)

The inability to remember how Lincoln's head appears on a penny, or whether the water in the sink drains clockwise or counterclockwise, is most likely due to a failure in:

Answers

Creation

There is no other way

What is the volume to the nearest tenth of a cone that has a height of 17 meters and a base with a radius of 6 meters? Use 3.14 for π and round to the nearest tenth.

Answers

Answer:

640.6 m^2

Step-by-step explanation:

Formula

V = (1/3) pi * r^2 * h          Substitute givens into the formula and solve

Givens

V = ?

pi = 3.14

r = 6 m

h = 17 m

Solution

V = (1/3) * 3.14 * 6 * 6 * 17

V = 640.56      

Answer

V = 640.6 m^2 to the nearest 10th

Enrique makes $11.50 per hour and works 40 hours per week. He is single
and claims O withholding allowances. He estimates that he will spend $100
per month on qualified expenses. How much will he save per week in taxes
if he participates in his employer's cafeteria plan and has $100 per month
deducted before taxes? How much will he save in one year, or 50 weeks
of work?

Answers

Answer:

He makes 460 per week

Step-by-step explanation:

The two triangles shown are congruent.
Find the value of x

Answers

Answer:

x = 11

Step-by-step explanation:

right triangle ABC

using Pythagoras' identity

BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

BC = [tex]\sqrt{625}[/tex] = 25

Since the triangles are congruent then corresponding sides are congruent.

ST = BC , that is

3x - 8 = 25 ( add 8 to both sides )

3x = 33 ( divide both sides by 3 )

x = 11

John is w years old. His sister is 16 years old and his brother is twice johns age all three siblings have a total age of 31

Answers

Answer:

Step-by-step explanation:

John's age = w

His brother's age = 2*w  = 2w

His sister's age = 16 years

Total age of all siblings = 31

w + 16 + 2w = 31

w + 2w + 16 = 31

Combine like terms

      3w + 16 = 31

Subtract 16 from both sides

    3w          = 31 - 16

              3w = 15

                w = 15/3

               w = 5

[tex]\boxed{\text{John's age = 5 years }}[/tex]

His brother's age = 2w

                            = 2*5

                            = 10

[tex]\boxed{\text{John's brother's age = 10 years}}[/tex]

 

Need help 10 points

Answers

The radius is 2 and area = r^2*pi so 4*pi gives you 12.56 so the exact answer would be 12.56 and the answer with pi would be 4 times 3.14!

percent sicount
A $44.00 video game is on sale for $28.60
A.20%
B.25%
C.30%
D.35%
E.40%
F.45%

Answers

Answer:

35%

Step-by-step explanation:

28.60 is what percent of $44          ?/100

28.60*100=2860     2860/44=65           100-65=35%

An analysis of variance is used to evaluate the mean differences for a research study comparing four treatments with a separate sample of n = 8 in each treatment. If the data produce an F-ratio of F = 4.60, which of the following is the correct statistical decision? a. Reject the null hypothesis with α = .05 but not with α = .01 b. Reject the null hypothesis with either α = .05 or α = .01 c. Fail to reject the null hypothesis with either α = .05 or α = .01 d. There is not enough information to make a statistical decision

Answers

Considering the p-value of the f-ratio, it is found that the correct option is given by:

a. Reject the null hypothesis with α = .05 but not with α = .01.

What is the relation between the p-value and the test hypothesis?

Depends on if the p-value is less or more than the significance level:

If it is more, the null hypothesis is not rejected.If it is less, it is rejected.

In this problem, the test statistic is of F = 4.60, with 4 x 7 = 28 df between treatments and 7 df in a single treatment, hence, using a calculator, the p-value is of 0.0218, which is less than 0.05 but more than 0.01, meaning that option A is correct.

More can be learned about p-values and hypothesis tests at https://brainly.com/question/26454209

1) Solve the inequality 20 – 62 < -10.

Answers

Hey there!


20 - 62 < -10


20 - 62

= -42


-42 < -10

Therefore, your answer is: [TRUE] because -42 is SMALLER than -10


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Find the mean absolute deviation, variance, and
standard deviation for the data set showing the price of
six different jars of pasta sauce at the grocery store:
{$2.79, $1.99, $4.29, $2.49, $2.29, $3.49}

Answers

If the mean of the data is 2.89, then the mean absolute deviation, variance, and standard deviation will be 0.67, 0.61, and 0.78 respectively.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

The data set is given below.

{$2.79, $1.99, $4.29, $2.49, $2.29, $3.49}

Then the mean value of the data will be

[tex]\mu = \dfrac{{2.79+ 1.99+ 4.29+ 2.49+ 2.29+ 3.49}}{6} \\\\\mu = \$ 2.89[/tex]

Then the mean absolute deviation will be

[tex]\rm MAD = \dfrac{1}{N} \Sigma _{i=1}^N |x_i - \mu|\\\\MAD = \dfrac{1}{6} (|2.79 - 2.89| + |1.99-2.89| + ... +|3.49-2.89|)\\\\MAD = 0.6667 \approx 0.67[/tex]

Then the standard deviation will be

[tex]\rm \sigma = \sqrt{\dfrac{\Sigma _{i=1}^N (x_i - \mu)^2}{N} }\\\\\sigma = \sqrt{\dfrac{(2.79-2.89)^2 + (1.99 - 2.89)^2 + .... + (3.49 - 2.89)^2}{6}}\\\\\sigma = \sqrt{0.61}\\\\\sigma = 0.78[/tex]

Then the variance will be

[tex]\sigma ^2 = (\sqrt{0.61})^2\\\\\sigma ^2 =0.61[/tex]

More about the statistics link is given below.

https://brainly.com/question/10951564

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What is the circumference of a circle with a radius of 0.5 feet, explain your answer.

Answers

Answer:

circumference equals about 3.14

Step-by-step explanation:

c=2pi times r

c=2 (3.14) times 0.5

c= about 3.14

Answer:

3.14(rounded to nearest hundredth)

__________________________________________________________

Solve by...First, use the formula for finding circumference by diameter;

[tex]C = 2\pi r[/tex]

Which is the same as

[tex]2\pi r = 2 * \pi * r(0.5)[/tex]

[tex]= 3.1415926535897932384626433832795[/tex]

i don’t understand how to do this

Answers

Answer:

There is only 1 solution where x is greater than 3 that is on the line and that is where the line Crosse where x is 4.

Step-by-step explanation:

p(x>3) = p(x= 5) - p(x= 3)

= (Area of ∆ from x= 0 to x= 5)- (Area of ∆ from x= 0 to x= 3)

=[ 1/2•(5-0)•0.4] -[1/2•(3-0)• 0.4)]

= 1/2•0.4(5-3)

p(x>3) = 0.4

A craft store buys 50 yards of satin ribbon for $13.50. The store
sells the ribbon by the foot. A customer can purchase 5 feet of
ribbon for $0.80. How much profit does the craft store earn if
they sell 45 yards of the ribbon and scraps the rest?

Answers

Answer:

$8.10 in profit

Step-by-step explanation:

First convert from yards to feet. 50 yards is equal to 150 feet. To find the unit price for how much they bought it for divide $13.50 / 150 to find that they bought the satin for 9 cents a foot.

Next find how much they sold it for. To find this divide $0.80 / 5 to find that they sold the satin for 16 cents a foot.

To find the profit for 45 yards, convert 45 yards to feet which is 135 feet. Then multiply this by the unit price for sales, 135 * $0.16 to get $21.60

To find the profit subtract the amount they spent on the fabric by the amount they made.

21.60-13.50 = $8.10

the shape of this graph is best described as 2012 housing prices

Answers

Answer:

tell the full question

Step-by-step explanation:

bro

What is the area of the trapezoid? (-2, 6) (3,6) (-4,-6) (5.-6)​

Answers

Answer:

84

Step-by-step explanation:

[tex]A[/tex]trapezoid= [tex]\frac{h(b_{1} + b_{2})}{2}[/tex]

Substitute the values into the equation: [tex]A=\frac{12(9 + 5)}{2}[/tex]

[tex]A=\frac{12(9 + 5)}{2}[/tex] (add 9 and 5)

[tex]A=\frac{12(14)}{2}[/tex] (multiply 14 by 12)

[tex]A=\frac{168}{2}[/tex](divide 168 by 2)

[tex]A=84[/tex] (your answer)

Hope this helps! Have a good day! :)

Can anyone please help im stick on this question!!!

Answers

Answer:

28

Step-by-step explanation:

The mean is adding up all the numbers and then dividing by the total amount of numbers.
So with that in mind, we can set up a equation with the missing number as x.

[tex]\frac{x+19+22+31}{4} = 25[/tex]

Then you just solve.

A homeowner is putting in a fireplace that has a 5 inch radius vent pipe. He needs to cut an elliptical hole in his roof to accommodate the pipe. If the pitch of his roof is 2/5 what are the dimensions of the hole

Answers

The dimensions of the hole when the homeowner is putting in a fireplace will be 10 inches and 10.77 inches.

How to calculate the dimensions?

The width of the pipe will be:

= 5 × 2

= 10 inches.

The length of the pipe will be:

= (✓2² + ✓5²)/5 × 10

= ✓29/5 × 10

= ✓29 × 2

= 10.77 inches

In conclusion, the dimensions are 10 inches and 10.77 inches.

Learn more about dimensions on:

https://brainly.com/question/26740257

Which equation can be used to find the nth term of the sequence, an?

55, 50, 45, 40, 35, ...


an=60−5n

an=5n+60

an=5n+55

an=55−5n

Answers

Answer:

170 is the answer of mine

Answer:

an=5n-55 is the correct answer

Step-by-step explanation:

There were 30 cookies in a basket. Haley ate 10% of the cookies. Erin ate 1 6 of the cookies. Hannah ate 1 5 of the cookies. Madison ate 30% of the cookies. How many cookies are left in the basket?

Answers

The number of cookies left in the basket after everyone has eaten out of the cookies is 7.

How many cookies are left?

The first step is to convert the fractions to percentages.

1/6 x 1000 = 16.67%

1/5 x 100 = 20%

Now determine the sum of the percentages of the cookies eaten : 10% + 30% + 16.67 + 20% = 76.67%

Determine the percentage of cookies left = 100 - 76.67 = 23.33%

Number of cookies left = (23.33 / 100) x 30 = 7

To learn more about percentages, please check: https://brainly.com/question/25764815

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to how many decimal places are you supposed to 'estimate' the answer to? ​

Answers

Answer:

79.2135

Step-by-step explanation:

5.34 - 2.52 = 2.82

2.82 divided by 0.0356 = 79.2135

Riley has a fish tank in the shape of a rectangular prism like the one shown.

A box that measures 7 inches by 10 inches by 7 inches.
How much water can the tank hold?

24 cubic inches
70 cubic inches
119 cubic inches
490 cubic inches

Answers

D 490 cubic inch
Hop this helps

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