In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house. Round your answer to the nearest dollar. (Let x = 0 represent 2000)

Answers

Answer 1

Answer:

12500 dollars/year

Step-by-step explanation:

A linear equation i in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change and b is the initial value of y (i.e. x = 0).

Let x represent the year and y represent the cost of the house. Given that x = 0 represent 2000, hence we can represent the problem in the form (x, y) as:

(7, 120000) and (17, 245000). The annual rate of change is gotten using:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{245000-120000}{17-7} \\\\m=12500\\\\m=125000\ dollars\ per \ year[/tex]


Related Questions

Pls help!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Answer:

a) 18 cm

Step-by-step explanation:

c=2(pi)r

36(pi)=2(pi)r

18=r

What is the measure of angle Y?
60 40

Answers

Answer:

if it is triangle it is 80

I WILL GIVE BRAINLIEST!!

A jar contains n nickels and d dimes. There are 19 coins in the jar, and the total value of the coins is $1.40.
How many nickels and how many dimes are in the jar? (Hint: Nickels are worth $0.05 and dimes are worth
$0.10.)

Answers

Answer:

The are 8 dimes and 12 nickels

Step-by-step explanation:

1.We set n+d=20 because 20 is the total number of dimes and nickels in the jar.We have $0.05 n because for ever nickel,we earn $0.05.Adding this to the value of dimes,represented similarly by $0.1,then we set this to the amount of money we have in total,which is $1.40.

2.Subtract d from both sides of the first equation to get it by itself.Substitute-d for n in the second equation.The divide both sides by 0.5 to obtain the answer.

3.Substitute 8 in for d to obtain the value or n.

A solution has a pH of 10.3. When a solid is dissolved in the solution, the pH changes to 9.6. What can be inferred from this observation? (2 points)

Answers

Answer:

We see that the original material was a base, after adding the other material into the base it reduces its basicity.

So we can infer that the substance added was an acid as if we add bases it will increase the basicity.

PLZ MARK BRAINLIEST

BRAINLIST AND MANY OTHERS THINGS

Kyle's home is located at point (0 , 0). Kyle travels up for 5 miles, right for 6 miles, down for 10 miles, left for 6 miles, and finally up again for 5 miles. What is Kyle's new location?

Answers

Answer:

1, 0

Step-by-step explanation:

Just go on a chart graph and do what it asks and you get that.

JK has endpoints located at J(15,-13) and K(-9,27) what are the coordinates of the midpoint JK.
A.(3,7)
B.(12,20)
C.(1,9)
D.(14,18)​

Answers

Answer:

(3, 7)

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as:

M(X, Y) = [x1+x2/2, y1+y2/2]

Given the coordinates  J(15,-13) and K(-9,27), the coordinates of the midpoints is expressed as:

X = 15-9/2

X = 6/2

X = 3

Similarly,

Y = y1+y2/2

Y = -13 +27/2

Y = 14/2

Y = 7

Hence the coordinate of the midpoint is at (3, 7)

is 3π/9 irrational or rational​

Answers

Answer:

irrational

Step-by-step explanation:

Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.

Help please! This has to do with the Pythagorean theorem.

Answers

ANSWER

6.63

Explanation:

Equation used: c2 = a2 + b2 ( rearranged due to having the two sides )

c2 = 12^2 + 10^2

c2 = 144 - 100

c2 = 44

c2 = 6.63 ( the square root of 44 )

MY NOTES ASK YOUR TEACHER Jack has decided to advertise the sale of his car by placing flyers in the student union and the dining hall of the college. He estimates that there is a probability of 0.4 that a potential buyer will read the advertisement and that, if it is read, the probability that the reader will buy his car will be 0.1. Using these estimates, find the probability that a potential buyer will read the ad and will buy Jack's car.

Answers

Answer:

The probability that a potential buyer will read the advert and will buy Jack's car is 0.04

Step-by-step explanation:

Estimate 1:  There's a 0.4 probability that a potential buyer will read the advert.

Estimate 2:  There's a 0.1 probability that whoever reads the advert will buy his car.

- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.

- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.

- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.

- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1

In the calculation of probability, "and" represents multiplication. Hence,

0.4 × 0.1  = 0.04

Find the value of x. Everything is in the photo.

Answers

Answer:

27

Step-by-step explanation:

Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.

Finding angles of the triangle:

<WYX = <XYZ - <WYZ = 180 - 4x

<XWY = <XWV - <VWY = 180 - 6x

Using the sum of angles in a triangle and substituting these values in:

180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x

270 = 10x

27 = x

We are done! I hope this helps! :)

Find the distance between a point (-7,-19) and a horizontal line at y = 3 .

Answers

The line is horizontal so the x value of the dot doesn’t matter because the x is a horizontal location.

The vertical distance would be the y value to the line.

-19 to 0 would be 19 and from 0 to 3 is 3

Total distance is 19 + 3 = 22

The answer is 22

You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?

Answers

Answer:

The number of:

300- yen cakes = x = 4

350 - yen cakes = y = 6

Step-by-step explanation:

Let the number of:

300- yen cakes = x

350 - yen cakes = y

You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?

Hence, our system of equations derived from the question is:

x + y= 10 ..... Equation 1

x = 10 - y

300x + 350y = 3300 yen... Equation 2

Substitute 10 - y for x in Equation 2

Hence:

300(10 - y) + 350y = 3300

3000 - 300y + 350y = 3300

- 300y + 350y = 3300 - 3000

50y = 300

y = 300/50

y = 6

x = 10 - y

Substitute 6 for y

x = 10 - 6

x = 4

Therefore, the number of:

300- yen cakes = x = 4

350 - yen cakes = y = 6

I bought apples and bananas at the store in a ratio of 3 apples to 4 bananas. If I bought 35 pieces of fruit. How many apples and bananas did I buy.

Answers

Answer:

15 apples

20 bananas

A total of 15 apples and 20 bananas has been bought.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of apples = A

Number of bananas = B

Given that,

Apples and bananas at the store in a ratio of 3 apples to 4 bananas.

So,

A/B = 3/4

And,

A + B = 35

By substitution,

4(35 - B) = 3B ⇒ B = 20

And,

A = 35 - 20 = 15

Hence "A total of 15 apples and 20 bananas has been bought".

For more about the equation,

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What is the center of the circle shown below?
А
ОА. В
ОВ. АВ
в
ос. А
OD. Y

Answers

Answer:

A

Step-by-step explanation:

the answer is A with the letter B next to it

The center of the circle is B.

What is Center of Circle?

A circle's centre is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

The location of a moving point on a plane such that its separation from a stationary point on the plane remains constant or fixed is described as a circle.

A circle is a two-dimensional form characterised by its centre and radius. If we know the centre and radius of a circle, we can draw it. There are an endless number of radii for a circle. A circle's centre is the point at which all of its radii meet. It is also known as the middle of the circle's diameter.

When we are given a circle and must locate its centre.When a circle's equation is supplied and we need to get the coordinates of its centre.

From the figure the equidistant point from the surface of the circle is  B.

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multiply (6x+7)(6x-7) by using sutaible identity​

Answers

Answer:

Here bro, but after this go to sleep

Step-by-step explanation:

Answer:

(6x)^2- (7)^2

36x^2-49

Grant also buys bottled water and juice pouches for the picnic. There are
12 bottles of water in each case and 10 juice pouches in each box. Grant wants
to buy the least amount but still have as many bottles of water as juice pouches.
How many of each should he buy? Explain.

Answers

Answer:

60 of each

Step-by-step explanation:

water          juice

12                10

24               20

36               30

48               40

60               50

                  60

PLEASE HELP ASAP
Solve each system by graphing. (REAL GRAPH PAPER ONLY)

Answers

Answer:

Slope with Y intercepts and going down/ up from there

Step-by-step explanation:

I dont have graph paper, but the B part is Y intercept. That Means that the 2nd number is where the line intercepts with Y axis. The Y axis for  1 is Y=-1, with no slope meaning its a straight line with no slope. It just goes through -1 on Y axis horizontally. On number one for the second equation, 2 is the Y intercept for the other line, and the line has a rise and run of 3/1, meaning it goes up 3 on the positive side of the x axis, and it goes to the side one. Hope this made a little sense. I learned this a few weeks ago in my algebra class.

How do you factor x^2+8x-5=4?

Answers

Answer:

(x + 9)(x - 1)

Step-by-step explanation:

First, set the equation equal to zero by subtracting 4 from both sides:

x² + 8x - 5 = 4

x² + 8x - 9 = 0

Then, find two factors of -9 that add to 8.

These factors are the numbers 9 and -1.

Then, using these factors, put the equation in factored form:

x² + 8x - 9 = 0

(x + 9)(x - 1) is the factored equation

what is 3 divided by 11/12

Answers

Answer:

0.02272

Step-by-step explanation:

Answer:

11/12 dividing 3 would be 11/36

Step-by-step explanation:

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a) Develop the appropriate null and alternative hypotheses. b) Assuming the standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the t-statistic

Answers

Answer:

The test statistics is   [tex]z = -1[/tex]  

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  100

  The null hypothesis  is  [tex]H_o : \mu = \$30000[/tex]

   The alternative hypothesis is  [tex]H_a : \mu < \$ 30000[/tex]

   The sample mean is  [tex]\= x = \$29,750[/tex]

    The standard deviation is  [tex]\sigma = \$2,500[/tex]

    The level of significance is  [tex]\alpha =0.05[/tex]

Generally the test statistics is mathematically represented as

        [tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]

=>      [tex]z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }[/tex]

=>      [tex]z = -1[/tex]    

From the desired test, we have that:

a)

The null hypothesis is: [tex]H_0: \mu \geq 30000[/tex]The alternative hypothesis is: [tex]H_1: \mu < 30000[/tex]

b) The t-statistic is t = -1.

Item a:

At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:

[tex]H_0: \mu \geq 30000[/tex]

At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:

[tex]H_1: \mu < 30000[/tex]

Item b:

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 29750, \mu = 30000, s = 2500, n = 100[/tex]

Hence, the t-statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}[/tex]

[tex]t = -1[/tex]

The t-statistic is t = -1.

A similar problem is given at https://brainly.com/question/13873630

During each week of piano lessons, William learns to play 2 new pieces. Write an equation that shows the relationship between the weeks of lessons x and the total number of pieces learned y.

Answers

Answer:

William can find how many piano pieces he has learned by using the equation y = 2x.

Step-by-step explanation:

We are given that William learns two piano pieces per week.

We are tasked with finding the equation that represents this relationship (the number of weeks that William has received piano lessons and the total number of piano pieces that William has learned).

The number of weeks that William has attended piano lessons is represented by the variable x.The total number of piano pieces that William has learned is represented by the variable y.

Therefore, take for example that William has been taking piano lessons for four months. This would roughly equate to sixteen weeks.

[tex]x=16[/tex]

After analyzing this, we know that he learns two pieces a week. So, we can multiply our number of weeks by two in order to receive the total amount of pieces learned.

[tex]x \times 2[/tex]

Finally, we need to set this equal to the total number of pieces learned, or our previously defined variable y.

[tex]y=x\times 2[/tex]

In mathematics, we want to simplify everything as much as possible. There is a statement that if a constant and a variable are to be multiplied, we can remove the multiplication symbol and place the constant and the variable together.

[tex]y=2x[/tex]

Therefore, our equation is [tex]\bold{y = 2x}[/tex].

Question 2: 5 pts
A machine costs $50,000. Its value depreciates by 15% after each year. Identify the graph of the sequence and
the correct description of its pattern. Then identify the value of the equipment at the end of 8 years.

Answers

Answer:

The value is decreasing by $7500 each year

At the end of 8 years, the equipments value is -$10000

Step-by-step explanation:

15% of 50000 is 50000*15/100=7500

To find the end of 8 years, you subtract the sum of 7500*8 from 50000

7500*8=60000

50000-60000=-10000

the diagonal of a square is 3√2 then find its length​

Answers

hope that this answer helps you.

The question is below thanks

Answers

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

[tex]2r[/tex]π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

[tex]\frac{angles}{360}=\frac{arc}{circumference}[/tex]

Substitute in the given information and solve;

[tex]\frac{82}{360}=\frac{arc}{14pi}[/tex]

arc = [tex]\frac{41}{180}*14pi[/tex]

arc = [tex]\frac{287}{90}*pi[/tex]

arc ~ 10.02

which of the following represents the equation with a slope of 3 and a y-intercept of 2?

Answers

Answer:

c is the correct answer

Step-by-step explanation:

in a journey of 450km a person complete its 150km in 3hours.Then he increases his speed by 20%.How long time does it take to complete all the journey​




Answers

Answer:

450 km

150/3=50km/hr

50+20%

1/5*50=10

50+10=60

60km/hr

450-150=300

300/60=5

5 hours

HELP PLEASE HELP!! I NEED THIS DONE BEFORE AN HOUR!! PLEASEEEE!! :(((
On Christmas Eve, Charlie ate 20% of the gingerbread cookies he baked. If he ate 11 cookies, what was the total number of cookies he baked?

Answers

Answer:

22

Step-by-step explanation:

Charlie baked total of 55 cookies if he ate 11 cookies which is the 20% of the total cookies.

What is Percentage?

The ratio or number in terms of the fraction per 100 is called the percentage. This concept is mainly used to calculate the proportion of any value with respect to the original value.

Symbol representing the percentage is %.

Let x be the number of cookies Charlie baked.

Percentage of cookies Charlie ate = 20%

Number of cookies Charlie ate = 11

That is, Charlie ate 20% of the total cookies, x, which actually equals 11.

⇒ 20% × x = 11

⇒ (20/100) × x = 11

⇒ 0.2 × x = 11

⇒ x = 11/0.2

⇒ x = 55

Hence the number of cookies Charlie baked is 55, if he ate 20% of the cookies which equals 11.

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PLZ ANSWER IF U KNOW THE ANSWER​

Answers

I think c sorry if I’m wrong

Find the height of a right circular cone whose radius is 5 cm and volume is 100 pie cm cubed​

Answers

Answer:

h = 3.82

I have attached picture

Write the word or phrase that best completes each statement or answers the question.

Answers

Answer:

She can give it in 1- ways

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