A house worth $350,00 when purchased was worth $335,000 after the first year and $320,000 after the second year. Assume the economy does not pick up and this trend continues.

(is this an arithmetic or geo sequence?)

Write an explicit formula for the sequence.

Answers

Answer 1

Answer: Arithmetic Sequence

The nth term formula is  [tex]a_n = -15,000n + 365,000[/tex]

Delete the commas if needed.

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

Explanation:

Subtract each adjacent term like this

term2 - term1 = (335,000) - (350,000) = -15,000term3 - term2 = (320,000) - (335,000) = -15,000

Each time we get -15,000 which is the common difference and helps show we have an arithmetic sequence.

The nth term formula can be found following these steps.

[tex]a_n = a + d(n-1)\\\\a_n = 350,000 + (-15,000)(n-1)\\\\a_n = 350,000 - 15,000n + 15,000\\\\a_n = -15,000n + 365,000\\\\[/tex]

If we plugged in n = 1, then we'd get,

[tex]a_n = -15,000n + 365,000\\\\a_1 = -15,000(1) + 365,000\\\\a_1 = -15,000 + 365,000\\\\a_1 = 350,000\\\\[/tex]

Showing the first term is $350,000 which is the initial value of the house.

I'll let you try the other values of n.

Plugging in n = 2 would lead to [tex]a_2 = 335,000[/tex]

Plugging in n = 3 would lead to [tex]a_3 = 320,000[/tex]


Related Questions

6. What is the area of OW?
(А) Зл
В) бл

D) 36л

Answers

Answer:

B

Step-by-step explanation:

sin
[tex] \sin( \binom{ - 11\pi}{3} ) \times \tan( \frac{35\pi}{6} ) \times \sec( - ) [/tex]

Answers

Answer:

solve it :)

Step-by-step explanation:

Morgan needs 3 gallons of paint to paint the walls in his bedroom.
If the paint he uses costs $24 per gallon, how much will he spend
on paint to paint his room?
A. $24
B. $ 48
C. $60
D. $72
7.RP.A.1

Answers

Answer:

72

Step-by-step explanation:

You multiply 3 by 24 to get 72

She well need 72$ 24 x 3 is 72

4. Write an equation that represents the line graphed below.
CCP

Answers

Represents the line graphed

Answer:

(2,-6)

Hey my answer could be wrong but i checked so i hope you think this is helpful!

Evaluate the following expression:


Answers

Answer:

5.25

Step-by-step explanation:

$140.00 for 17ft squared

Answers

Answer: what is the question tho???

We can’t see the question...

Activity
Blaine is selling tickets to a rock concert. Tickets in the front section cost $60 each. Tickets in the back section cost $40
each. Blaine has 55 tickets left to sell, and to meet his sales quota he needs to sell more than $600 in tickets from the
remaining tickets.
Blaine makes a profit of $40 on every ticket for the front section. He makes a profit of $25 on every ticket for the back
section. What's the maximum profit Blaine can make from selling his remaining tickets?
You may find it helpful to review the steps of linear programming e.
Part A
Write the system of inequalities for the given situation where x represents the number of front section tickets and y
represents the number of back section tickets.

Answers

Answer:

25 tickets more

Step-by-step explanation:

I got x+y is (less than or equal to) 55 for the first inequality and 60x+40y>600 for the second one!

Step-by-step explanation:

Since Blaine can sell a maximum of 55 tickets, the first inequalitly is x+y is less than OR EQUAL TO 55. Since the tickets in the back section cost $40 each, 40y represents the money made from those tickets. Blaine needs to make 600 in sale so the inequality is 60x+40y>600.

Is the point (-4, 5) a solution of the standard form equation -2x-2y=-2

Answers

Answer:

not that i know of

Step-by-step explanation:

The number of chairs Amal can paint varies directly with the amount of time she spends painting. Amal can paint 7 chairs in 3 hours. How many chairs can Amul paint in 15 hours? Enter your answer in the box.

Answers

Answer:

35

Explaination:

This problem can be represented by the equation: (7/3)=(x/15) Then solve for x, which is 35.

Amul can paint 35 chairs   in 15 hours

Let the number of chairs Amal can paint be represented as N

And amount of time she spends painting be represented as t

such that

The number of chairs Amal can paint varies directly with the amount of time she spends painting will be expressed as

N∝t

Introducing the constant of proportionality,K becomes

N=Kt

Amal can paint 7 chairs in 3 hours.K becomes

N=Kt

7=K3

K=7/3

Now if Amul paint in 15 hours, she would paint

N=Kt

N=7/3 X 15

N=35 Chairs

See related answer here:https://brainly.com/question/14073678

Robert builds a rectangular deck with a length that is four less than two times the width of the deck.

Write the equation for the area of the deck, where w is the width.

Answers

Let

Width be wLength=2w-4

Now

[tex]\\ \sf\longmapsto Area=Length\times Breadth [/tex]

[tex]\\ \sf\longmapsto Area=w(2w-4)[/tex]

[tex]\\ \sf\longmapsto Area=2w^2-4w[/tex]

How to solve 18 - 1 and 7/16 - 7/12

Answers

Answer:

- 7/48, decimal form 0.145 and 17

Step-by-step explanation:

Find the LCM of 4 and 42

Answers

Answer:

84

Step-by-step explanation:

5.16 Identify hypotheses, Part II: Write the null and alternative hypotheses in words and then symbols for each of the following situations. (a) Since 2008, chain restaurants in California have been required to display calorie counts of each menu item. Prior to menus displaying calorie counts, the average calorie intake of diners at a restaurant was 1100 calories. After calorie counts started to be displayed on menus, a nutritionist collected data on the number of calories consumed at this restaurant from a random sample of diners. Do these data provide convincing evidence of a difference in the average calorie intake of a diners at this restaurant?

Answers

Answer:

H₀: µ = 1100 vs. Hₐ: µ ≠ 1100.

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by Hₐ.

In this case the hypothesis can be defined as follows:

Null hypothesis:

H₀: The average calorie intake of a diner at this restaurant is 1100, i.e. µ = 1100.

Alternate hypothesis:

Hₐ: The average calorie intake of a diner at this restaurant is different from 1100, i.e. µ ≠ 1100.

Help help math math ASAP

Answers

The answer is X is 4 y is -6. I can’t type the work, but this took a few minutes

solve the equation..​

Answers

Answer:

y=252/5=50.4

Step-by-step explanation:

[tex](A)\ 9y-252=4y\\(B)\ 5y=252\\(C)\ y= \frac{252}5 = 50.4[/tex]

In step A we multiplied both sides by the least common multiple of the denominators, in order to deal with only integers for as long as possible.

In step B you subtract 4y and add 252 to both sides ("moving them on the other end of the equal sign").

In step C you finally divide by 5 to isolate y.

Two of my digits are odd, but my ones digit is even.
The sum of my digits is 16.
I am between 520 and 570, and I am NOT 556.
What am I?

Answers

Answer:

the correct answer is 565

I believe the answer your looking for is 565

If 2 L of water is mixed with 4.5 L of milk and filled into 650 mL cans. Then
cans will be needed to fill the mixture.

Answers

The numbers of can required to fill the mixture is 10 cans

Data;

Volume of water = 2Lvolume of milk = 4.5Lvolume of cans = 650mL = 0.65L

Number of Cans Required to fill the mixture

To find the numbers of can required to fill the mixture, let's add the volume of the mixture.

volume of mixture = volume of water + volume of milk

volume of mixture = [tex]2 + 4.5 = 6.5L[/tex]

The entire volume of the mixture is 6.5L.

To find the numbers of cans that'll fill the mixture, let us divide 6.5 by 0.65.

Number of can required = [tex]\frac{6.5}{0.65} = 10[/tex]

From the calculation above, we would need 10 cans to fill the mixture.

Learn more on division and proportions here;

https://brainly.com/question/870035

The y-intercept of the line whose equation is 5+y=2x

Answers

Answer:

(0, -5)

Step-by-step explanation:

We need to isolate y.

5+y=2x -- Subtract 5 from 5+y

y = 2x - 5

The image connected is what the graph would look like.

Answer:

y-int = (0,-5)

Step-by-step explanation:

Substitute 0 for x and solve to find the y-intercept.

[tex]5+y=2(0)\\ 5+y=0\\y=0-5\\y=-5[/tex]

Find the total surface area of the following cone. Leave your answer in terms of a. 2V3 cm 2 cm SA = [ ? ] cm Hint: Surface Area of a Cone = tre + B Where e = slant height, and B = area of the base ​

Answers

Answer: the answer is

90

                                                                           

Answer:

12

Step-by-step explanation:

Mathematics pls help 4 questions will give brain to best answer

Answers

Answer:

There probably isn't a mode.

Step-by-step explanation:

Because the numbers in this set of data are continuous, it is impossible to have a mode, the number that occurs most frequently in a set of data.

Answer:

[1] Not enough information to draw valid conclusion

[2] The mean will be 12.

[3] 14

[4] 5 and 7

Step-by-step explanation:

[1] if the range for a set of data is 24, from 2 to 26 and the mean is 17, what can you conclude about the data

17 is the typical data value.

Not enough information to draw valid conclusion.

The median will be 17 also.

There probably isn't a mode.

Answer: Not enough information to draw valid conclusion.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[2] The extreme values in a set of data are 5 and 19. What is true about the data set?

The mean will be 12.

There is not enough data.

The range is 14.

There will be more than one mode.

Answer = The mean will be 12.

Explanation : Mean = add all values and divide by the number of values. 5+19=24, 24/2=12

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[3] What is the mean for the following set of data, to the nearest whole number?

5,9,15,18,22

Answer = 14

Explanation:

5 + 9 + 15 + 18 + 22 = 69

69 / 5 = 13.8

Round 13.8 = 14

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[4]  What is the mode for the following set of data?

4,5,5,6,7,7,8,12.

Mode = Most Often Seen

Answer = 5 and 7

Explanation:

Base on given you can see that the most is two number. There is two five and there is two seven.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Lenvy~

Find the zeros of the function.
f(x) = 2x2 – 36

Answers

Answer:

3√2 and -3√2

Step-by-step explanation:

2x^2-36

2(x^2-36)

2(x+3√2)(x-3√2)

Answer:

-4.24 and 4.24

Step-by-step explanation:

How many whale sharks would a researcher need to measure so that 90% confidence level would have a margin of error of 0.25

Answers

About 1407 sharks would be needed to have a margin of error of 0.25

What is margin of error?

Margin of error is used to determine by what value there is deviation from the real value. Margin of error (E) is given by:

[tex]E=Z_\frac{\alpha}{2} *\frac{standard\ deviation}{\sqrt{sample\ size} }[/tex]

The 90% confidence level have a z score of 1.645. Hence for E = 0.25, standard deviation = 5.7 feet, hence:

[tex]0.25=1.645*\frac{5.7}{\sqrt{sample\ size}}\\ \\sample\ size=1407[/tex]

About 1407 sharks would be needed to have a margin of error of 0.25

Find out more on margin of error at: https://brainly.com/question/10218601

PLS HELP AGIAN if u guess just for points ill report you question in the picture

Answers

Answer:

[tex]\sf y = \dfrac{17}{2}[/tex]

explanation:

[tex]\sf 7y-4=9y+13-4y[/tex]

collect variables in one side

[tex]\sf 7y -9y +4y = 13 +4[/tex]

simplify by addition and subtraction

[tex]\sf 2y = 17[/tex]

divide both sides by 2

Hence, ,final answer:

[tex]\sf y = \dfrac{17}{2}[/tex]

Answer:

A.   y = 17/2

Step-by-step explanation:

Given equation:

7y - 4 = 9y + 13 - 4y

Collect like terms:

7y - 4 = 9y - 4y + 13

Combine like terms:

7y - 4 = 5y + 13

Subtract 5y from both sides:

2y - 4 = 13

Add 4 to both sides:

2y = 17

Divide both sides by 2:

y = 17/2

someone pliz solved = (27) -1/3×(27) -1/3×[(27) 1/3-(27) 2/3]​

Answers

ghjbgdg hgyi uhb hfik hidey jjtssg igsryi

Which relationships describe angles 1 and 2?
Select each correct answer.

complementary angles
adjacent angles
supplementary angles
vertical angles

Answers

Answer:

supplementary angles because they add 180 degrees

Step-by-step explanation:

hope this helped

Answer: Supplemetary Angels,  Adjacent Angels

B,C

Step-by-step explanation: The other person is wrong

hello help me with this question thanks in advance​

Answers

[tex]\bold{\huge{\underline{ Solution \: 1 }}}[/tex]

Basic theorems on similarity of triangles

Theorem 1 :- SSS Similarity

When all the three sides of one triangle are in proportion to the other three sides of the another triangle then those 2 triangles are similar by SSS similarity .

Theorem 2 :- AA similarity

When the two corresponding angles of one triangle are congruent to other two corresponding angles of another triangle then both the triangles are similar by AA Similarity .

Theorem 3 :- SAS similarity

When the two sides of one triangle are in proportion to the other two sides of another triangle and the one of the angles of both the triangles that lie between two corresponding sides are equal then both the triangles are similar by SAS similarity.

Theorem 4 :- AAA similarity

When all the three angles of one triangle are equal to other three angles of another triangle then both the triangles are similar by AAA similarity.

Let's Begin :-

Here, We have given statement that

" If an angle of one triangle is congruent to an angle of another triangle and the corresponding sides including those angles are in proportion, then the two triangles are similar . "

From above theorem, we can conclude that

Both the triangles are similar by SAS similarity

Hence, Option C is correct

[tex]\bold{\huge{\underline{ Solution \: 2 }}}[/tex]

The given statement is proved by using Pythagorean theorem.

Pythagorean theorem states that the square of hypotenuse that is longest side is equal to the sum of the squares of base and perpendicular height that is the smallest sides of the given triangle.

That is,

[tex]\sf{\red{ (Hypotenuse)^{2} = ( Perpendicular)^{2} + ( Base) ^{2}}}[/tex]

Hence, Option D is correct that is Pythagorean theorem.

Which of the following is a correct statement about the number and the set it belongs to?

+ π is REAL and RATIONAL only.

+ None of these

+ Repeating decimals are REAL and IRRATIONAL.

+ 2515 is REAL and RATIONAL.

+ −25  is REAL, RATIONAL, INTEGER, WHOLE and NATURAL.​

Answers

9514 1404 393

Answer:

  2515 is REAL and RATIONAL

Step-by-step explanation:

π is irrational

Repeating decimals are rational.

-25 is neither a Whole nor Natural number. (Whole numbers are non-negative integers; Natural numbers are positive integers, sometimes including 0.)

Any integer or fraction is REAL and RATIONAL. 2515 is an integer, so it is ...

  2515 is REAL and RATIONAL

Using the formula below or Excel, find the correlation coefficient, r, for this set of scores. Answer choices are rounded to the nearest hundredth.
r equals fraction numerator 1 over denominator n minus 1 end fraction sum from blank to blank of open parentheses fraction numerator x minus x with bar on top over denominator s subscript x end fraction close parentheses open parentheses fraction numerator y minus y with bar on top over denominator s subscript y end fraction close parentheses

Answers

The correlation coefficient measures the relationship between the two variables

The correlation coefficient is 0.234

How to determine the correlation coefficient

The formula of correlation coefficient is:

[tex]r = \frac{1}{n - 1} * \sum{(\frac{x - \bar x}{\sigma_x})*(\frac{y - \bar y}{\sigma_y})[/tex]

Using the dataset from the complete question, we have:

[tex]r = \frac{1}{5 - 1} * 0.9375[/tex]

Evaluate the difference

[tex]r = \frac{1}{4} * 0.9375[/tex]

Evaluate the quotient

[tex]r = 0.234375[/tex]

Approximate

[tex]r = 0.234[/tex]

Hence, the correlation coefficient is 0.234

Read more about correlation coefficient at:

https://brainly.com/question/4219149

The same sequence may be defined in three ways: 1) f(x) = 3x + 4 for x = {1, 2, 3, ...}, 2) a1 = 4 and an + 1 = an + 3 for n = {1, 2, 3, ...} and 3) an = 4 + 3(n − 1) for n = {1, 2, 3, ...}.
They are all supposed to generate the same values, but one version may contain an error. If one version contains an error, identify the one with the error and fix it.

Answers

Answer:

its B

Step-by-step explanation:

besties i need help !!
please help asap

Answers

Answer:

the answer is 623.1.

Step-by-step explanation:

The way this question should be written to be correct scientific notation is 2.3x10^5 + 3.6x10^6 which would equal 3.83x10^6

Other Questions
(1. Yolanda pumped 6 gallons of water into her pool each minute for 42 minutes. What was the total change in the amount of water in the pool?(2 Dante removed 27 fish from his pond over 9 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day? please make 0.571 as a fraction please and thank you Question 8 of 10Which of the following instruments was Bill Monroe known for playing?A. guitarB. mandolinC. DobroD. banjo A mixed reality application detects the spatial layout of a room. Question 1 (1 point)According to his "Four Freedoms" speech, what did Roosevelt mean by "freedom from want?ObOdhealthy peacetime life for every nation in the worldfreedom to practice the religion of one's choicefreedom of speech and expression everywhere in the worldworldwide reduction of armaments so no nation can go to war A man slides on snow without friction starting at 8.96m/s at the top of an inclined plane with height 8.21m. What is his speed at the bottom of a plane? visual basic is an example of... plese help me brainliest Three parrots A,B and Cwere parroting "hello" once every 3 minutes, 4 minutes and 5 minutes respectively. If three of the starts parroting at 7.00 a.m.,when will they parrots together again which problom can we solve with 60 devided by 6 what is Law of gravitation? Cul es la situacin del inicio del relato de ? Julia leans a 18-foot ladder against a wall so that it forms an angle of 68 with theground. How high up the wall does the ladder reach? Round your answer to thenearest hundredth of a foot if necessary. The owner of a soybean farm raises guinea hens for food and insect control. Guinea hens will eat grasshoppers and other insect pests and ticks. They also act as a "watchdog" by making a lot of noise when intruders approach their territory. The farmer allows the hens free range in his fields during the day and provides roosts for them at night. You may make these assumptions: 1. The farmer lives on 1 hen/day for a year. 2. 1 hen eats 25 grasshoppers/day. 3. 1,000 grasshoppers have a mass of 1 kg. 4. 1 grasshopper requires about 30 g of soy/yr. 6. 1 human requires about 600 grasshoppers/day. 7. dry soybeans have about 3.3 cal/g.Required:a. Calculate the number of grasshoppers a hen needs per year. b. How many grasshoppers are needed for a year's supply of hens for the farmer each year? c. What is the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year? d. How many kilograms of soybeans are needed to feed all the grasshoppers for one year? PLEASE ANSWER THIS QUESTION Help me out. Struggling Describe the location of the sum, relative to p, on a number line p - 3 Write down ideology of hindu religion. find x: 3x-14+6-4-2x=12 1. In Figure 5.9 below ABCD is a parallelogram with m(