The (average) sales price for single family property in Seattle and Port Townsend is tabulated below.



Year Seattle Port Townsend


1970 $38,000 $8,400


1990 $175,000 $168,400



Find a linear model relating the year x and the sales price y for a single family property in Seattle.

Answers

Answer 1

Answer:

[tex]y=6,850x - 13,456,500[/tex]

Step-by-step explanation:

To find the linear model, we need to find a linear equation, where its slope is defined as

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

So, we use the given points (1970, 38000) and (1990, 175000), to find the slope

[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]

Now, we use the point-slope formula to find the equation

[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]

Therefore, the linear model is

[tex]y=6,850x - 13,456,500[/tex]


Related Questions

How do I type in exponents

Answers

Answer:

on what

Step-by-step explanation: normaly you have a button that you can have certain characters

The Sears Tower, at 1,451 feet, is one of the tallest structures in the United States. A penny is thrown from the top of the tower. The height, h, of the penny is recorded after each second, t, in the table. Write an equation for the curve of best fit, then find the approximate height of the penny after 7 seconds.

Answers

Answer:

The equation for the height of the penny in function of time is:

[tex]h(t)=1451-16t^2[/tex]

After 7 seconds, the penny will be at a height of 667 feet.

Step-by-step explanation:

The penny will have a free fall.

The initial velocity is zero, and the initial height is h(0)=1,451.

The acceleration will be the gravity, that has a value g=32 ft/s^2.

Then, we can model this starting by the speed:

[tex]dv/dt=-g\\\\v(t)=v_0-gt=-gt[/tex]

Then, the height becomes:

[tex]dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2[/tex]

The approximate height of the penny after 7 seconds can be calculated as:

[tex]h(7)=1451-16(7^2)=1451-16*49=1451-784=667[/tex]

After 7 seconds, the penny will be at a height of 667 feet.

What is the length of AC? PLEASE HELP ASAP WILL GIVE BRAINLIEST TY

Answers

Answer:

2.33 units

Step-by-step explanation:

[tex]\tan 25\degree =\frac{AC}{5}\\\\0.46630 = \frac{AC}{5}\\\\AC = 0.46630 \times 5\\AC =2.3315\\AC = 2.33 \: units[/tex]





Consider that point A is reflected across the x-axis. What is the distance between point A and the point of its reflection?

Answers

Answer:

It would be 2 x the absolute value of the y coordinate.

Step-by-step explanation:

Example:

(5,-3)

Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.

if you know the area How would you find the diameter of a circle?

Answers

Step-by-step explanation:

formular of area circle = pi*

[tex] {? \\ radius}^{2} [/tex]

=> radius =

[tex] \sqrt{area \div pi } [/tex]

diameter = 2* radius.hope this help

Two math students were asked to write an exeponential growth equations that had a starting value of 300 and a growth rate of 2%. Pierre thinks the answer is y=300(1.02)^x and Scott thinks that the answer is y=300(1.2)^x. Are either of them right and why?

Answers

Answer:

Pierre is right.

Step-by-step explanation:

A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.

Pierre is correct y = 300(1.02)^x.

Scotts  answer 1.2 = a growth rate of 20%.

A friendly contest involves randomly drawing a marble from a bag that contains 16 blue marbles, 12 red
marbles, and 8 yellow marbles. If a blue marble is drawn, Nathan wins. If a red marble is drawn, Taylor wins.
If a yellow marble is drawn, Cady wins.
Who is most likely to win the contest?
1 Nathan
2 Cady
3 They are equally likely to win.
4 Taylor

Answers

Answer: I have a huge feeling it would be Nathan because he has the most blue marble. Yk?

Shira packs 170 lemon bars in boxes for the bake sale. Each box holds 8 lemon bars. She takes home the lemon bars tha are leg over after she has filled as many boxes as possible. Ahora use partial quotients to find how many boxes of lemon bars she can fill to sell at the bake sale. She finds only two partial quotients when she divides. Use the numbers in the box to answer the questions
1 2 7 8 20 21 23 27 29

Answers

Question:

1. How many full boxes of lemon bars can Shira fill?

2. How many delicious lemon bars will she be taking home?

Answer:

1. Number of filled box = 21

2. Number of take home = 2

Step-by-step explanation:

Given

Number of lemon bars = 170

Each bar contains 8 lemon bars

Required

(1) & (2)

To calculate the number of boxes Shira can fill, we simply divide the total number of bars by constituents of each bar .

i.e.

Number of filled box = 170/8

Number of filled box = 21.25

But here, we only need the quotient of the division because it represents the filled boxed.

So,

Number of filled box = 21

Calculating the number of take home.

We'll follow the same steps as (1) above but here, we only need the remainder of the division.

When 170 is divided by 8, the remainder is 2.

So, number of boxes she'll take home is 2.

See calculation below

Number of take home = 170 % 8

Number of take home = 2

100 POINTS


PLEASE PROVIDE STEPS. FOR BOTH
FIND THE INTEGRALS

Answers

Answer:

8. -⅓ cos³x + C

9. sec x + eˣ + C

Step-by-step explanation:

8. ∫ sin x cos²x dx

If u = cos x, then du = -sin x dx.

∫ -u² du

-⅓ u³ + C

-⅓ cos³x + C

9. ∫ (sec x tan x + eˣ) dx

∫ sec x tan x dx + ∫ eˣ dx

These are both standard integrals:

sec x + eˣ + C

Question 8:

∫sinxcos²xdx

∫-u²du (let u = cos(x))

-∫u²du

-u(^2+1)/2+1

-cos^(2+1)(x)/2+1

-1/3cos³(x)

-1/3cos³(x) + C

Question 9:

∫(secxtanx + eˣ)dx

∫sec(x)tan(x)dx + ∫eˣdx (apply sum rule)

sec(x) + eˣ (sec(x)tan(x)dx = sec(x) and eˣdx = eˣ)

sec(x) + eˣ + C

Best of Luck!

In the figure below, which term best describes point T?

Answers

Answer:

A

Step-by-step explanation:

When Jonas becomes the Receiver of Memory, he gets a rule that he may not tell his dreams. He wants to know how many of his 505050 classmates have the same rule. He asks 555 friends from his class whether they may tell their dreams. Of those, 444 say that they may.

Answers

Answer:

101010 classmates can't tell their dreams.

Step-by-step explanation:

I'm not sure what the question is, but if it is an average thing than 444 of 555 is 80 percent, so if that is what it wants 404040 of the students can share their dreams, and 101010 can't.

Hope this helps!

Find z1z2 if z1 = 3(cos37° + isin37°) and z2 = 2/3(cos53° + isin53°).

Answers

Answer:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Step-by-step explanation:

Both variable can be rewritten into polar form:

[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]

The complex product is equal to:

[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]

[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]

The resultant expression in rectangular form is:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Answer:

The correct question is:

Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].

(Note: the angles mentioned in the equations above are in degrees)

The answer is [tex]z_{1}.z_{2}= 2i[/tex]

Step-by-step explanation:

[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]

[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]

[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]

[tex]z_{1}.z_{2}= 2i[/tex]


(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3

Answers

Answer:

88 25/27

Step-by-step explanation:

(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3

PEMDAS

Parentheses first

(7)^2 (7)^2÷(3)^3

Then exponents

49*49 ÷27

Then multiply and divide from left to right

2401÷27

2401/27

88 25/27

88.92592593

Answer:

Step-by-step explanation:

(7)^2(7)^2 / (3)^3

49*49 / 27

2401/27

88 25/27

how many thousands make 5crore​

Answers

Answer:

50,000 thousands make a crore.

Step-by-step explanation:

One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000). Thus, 10,000 thousands make a crore.

We conduct a study to determine whether the majority of community college students plan to vote in the next presidential election. We choose a significance level of 0.05. We survey 650 randomly selected community college students and find that 54% of them plan to vote. The P-value is 0.02. H0: 50% of community college students plan to vote in the next presidential election. Ha: More than 50% of community college students plan to vote in the next presidential election. What can we conclude

Answers

Answer:

we can conclude that more than 50% of community college students plan to vote in the next presidential election

Step-by-step explanation:

Decision Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Null hypothesis H0: 50% of community college students plan to vote in the next presidential election

H0: p = 0.50

Ha: More than 50% of community college students plan to vote in the next presidential election

Ha: p > 0.50

P-value = 0.02

From the decision rule;

Since the p-value for this study is less than the significance level.

0.02 < 0.05

So, we reject the null hypothesis, there is enough evidence to reject the null hypothesis. We thereby accept the alternative hypothesis.

Therefore, we can conclude that more than 50% of community college students plan to vote in the next presidential election

Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

Answers

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that [tex]P(B) = 0.1[/tex]

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that [tex]P(A|B) = 0.995[/tex]

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

[tex]P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067[/tex]

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325[/tex]

93.25% probability that they have taken this steroid

g(t) = 6t - 1

g ( ) = -7

Answers

Answer:

  g(-1) = -7

Step-by-step explanation:

Put the given value for g(t) into the first equation and solve for t.

  -7 = 6t -1

  -6 = 6t . . . . . . add 1

  -1 = t . . . . . . . . divide by 6

g(-1) = -7

Answer: -1

Step-by-step explanation:

What is the area of a rectangle with sides length of 5/12 feet and 2/3 feet

Answers

Answer:

The answer is 10/36 or if you want to simplify, 5/18

Step-by-step explanation:

To solve the area of a rectangle, you need to multiply the sides with each other, so 5/12 x 2/3 is 10/36 (unsimplified) . You multiply the numerators and then the denominators and simplify.

Estimate the sum of 17.36 and 8.7 BY ROUNDNG TO THR NEAREST WHOLE NUMBER BEFORE ADDING...?

A.9

B.10

C.25

D.26

E. None correct

Answers

Answer:

D. 26

Step-by-step explanation:

We have to round to whole numbers before adding.

When approximating to whole numbers, if the number after the decimal is less than 5, you round down to 0 but if it is greater or equal to 5, you round up to 1.

17.36 ≅ 17

8.7 ≅ 9

Therefore:

17 + 9 = 26

j+ 12 =25 find the solution to equation algebtaically​

Answers

Answer:

j= 13

just subtract 12 from 25

Start by isolating the j.

Subtract 12 from both sides.

On the left, the 12 and -12 cancel.

On the right, 25 - 12 is 13.

So we have j = 13.

Which expression represents a factorization of 32m + 56mp ?

Answers

Answer:

8m(4 + 7p)

Step-by-step explanation:

Take out the greatest common factor:

8m(4 + 7p)

3/4 x 1/4

next problme: 3/5 x 1/5


100 pts

Answers

Answer:

0.1875 and 0.12

Step-by-step explanation:

3/4x1/4 is 0.1875. 3/5 x 1/5 is 0.12

Answer:

1)0.1875

2)0.12

Step-by-step explanation:

I will make you the brainliest if you can help me with my geometry homework.​

Answers

Answer:

  SAS

Step-by-step explanation:

Sides WV and XV on either side of angle WVX have been shown to be congruent to their corresponding parts. When you're concerned with a Side, Angle, and Side in that geometrical sequence, the SAS theorem is applicable.

Let a = 60. What is the value of a ÷ 5? equation

Answers

Answer:

12

Step-by-step explanation:

Just substitute 60 for a and divide it by 5

Ta Da!!

a rectangular rug measures 8 feet long and 12 feet wide . what is the area of the rug​

Answers

Answer:

96 square feet

Step-by-step explanation:

Area= length x width

So for the rug it would be 12x8

12x8=96

What is the quotient?
(6 * 108) = (1.5 x 10-4)
4 x 1012
4 x 104
4 x 10-32
4 * 10-2​

Answers

Answer:

The first choice.

Step-by-step explanation:

6 * 10^8 /  1.5 * 10^-4

= (6/1.5)  * (10^(8 - (-4))

= 4 * 10^12.

Answer:

4 x 1012

Step-by-step explanation:

Consider the graph of the exponential function, y =3(2)^x. The x- intercept of the graph is

Answers

Answer:

the x intercept is 2

Step-by-step explanation:

I just went over this unit

Answer:

2

Step-by-step explanation:

Barnes and Nobles buys a book for $14.25. They markup the price of the book by 35%.

Answers

Answer:

$19.24

Step-by-step explanation:

Take 14.25 times 1.35.

The markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.

What is the markup rate?

The markup rate is computed by dividing a unit's gross profit (its sales price less its cost to create or buy for resale) by its cost.

Barnes and Noble buy a book for $14.25. They mark up the price of the book by 35%.

As per the question, we have

cost = $14.25

markup rate = 35% = 0.35

Let's x represent markup for the book,

markup rate = markup/sale price × 100%

35% = x / $14.25

0.35 = x / $14.25

x = $14.25 × 0.35

Apply the multiplication operation, and we get

x = 4.9875

So sale price = markup + cost

So sale price = $4.9875 + $14.25

So sale price = $19.237

Thus, the markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.

To learn about the markup rate click here:

brainly.com/question/11999225

#SPJ2

Brainliest for anyone if they get this CORRECT.

Answers

answer is D7/2

hope it helps!!!!!!!!!!!!!!!!!!!!!!

What is the slope for the linear function y=3x-4

Answers

Answer:

3

Step-by-step explanation:

This is written in the form

y= mx+b

where m is the slope and b is the y intercept

3 is the slope and -4 is the y intercept

Other Questions
what lasting effects do Macbeth's actions have on him as a character CHCHCOCH how many atoms of each element are in one molecule of 2-heptanone If a cube has a volume of 27mm3,what is the length of one side? Write the number for seventy-five million three hundred thousand Find the 43rd term of each sequence.1. 21,12,9,3,... As discussed in the lecture, how did Victory Gardens help the American effort in World War I? Maxine and Sammie have the same size lawn. Maxine can mow the lawn in 24 minutes and Sammie can mow the lawn in 36 minutes. At what time will Sammie have twice as much lawn to mow as Maxine?Maxine and Sammie have to also mow their parking strips that are the same size. Maxine can mow the parking strip in 6 minutes and Sammie can mow the parking strip in 9 minutes. At what time will Sammie have twice as much grass to mow as Maxine? list the importance of vaccines to mankind? SOMEONE PLS HELP ): Spell "23,000".trente-trois millevingt trois milletrente-trois millesvingt-trois mille Match these items.1.pls helpasteroidsbetween Mars and Jupiter2.fissionice, dust, frozen gases3.energysun's atmosphere4.fusionability to do work5.coronasplitting atoms6.cometsthe combining of atomic nuclei to form one nucleus Please, someone, help me quickly!! Analyze the following sentences to see determine which sentence best uses a participle to show character:a. Tears streaming, she embraced her brother who just returned from war.b. Smiling, she hugged her brother.c. Ultimately, her brother returned home from the war.d. She missed her brother desperately, and she often cried when she thought of him so far away. What is the volume of the right cone below? When you compare two or more things, youShow how they are the same.b. Show how they are different.a.C. Show how they should be changed.d. A and BPlease select the best answer from the choices providedB Part AWhat is the participial phrase in the following sentence? 12 points to whoever helps. Jared, feeling satisfied, headed out the door for school.A.feeling satisfiedB.headed outC.the doorD.for schoolPart BIn the sentence in Part A, which word does the participial phrase modify?A.JaredB.headedC.doorD.school Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains? The cost of a secured loan is typically lower than the cost of an unsecured loan because _______. How has the United States dealt with international conflicts during the 20th century?" Asphere and a cylinder have the same radius and height. The volume of the cylinder is 64 m3.hl. The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30. The track has a length of about 800 feet. Find the height of the incline.