Mr. red's first year salary is $30,000 and it increases by $500 each year. what is the explicit rule for this sequence in simplified form?

Answers

Answer 1

The explicit rule to describe the behaviour of the salary is given as

Nth Year Salary = 30,000+ 500n

Word Problem

Given Data

First year Salary =  $30,000Yearly Increase =  $500

Let the number of years be n

Hence the explicit rule for this scenario is given bellow as

Nth Year Salary = 30,000+ 500^n

So for the first year n = 1 the salaary

Nth Year Salary = 30,000+ 500n

Nth Year Salary = 30,500

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Related Questions

Does drying barley seeds in a kiln increase the yield of barley

Answers

Additional experiments might confirm this or they may confirm our current result where we found no statistically significant difference. The mean difference is -33.7 indicating that, in this study, the kiln-dried seeds did increase corn yield by 33.7 pounds per acre.

Answer:

There is no convincing evidence that drying barley seeds in a kiln increase the yield of barley, on average.

Explanation:

Intersecting chords common core geometry homework answers

Answers

The circle is an illustration of intersecting chords.

The value of x is 4

How to determine the value of x?

From the complete question, the given parameters are:

Chords: jk and lmPoint of intersection = njn = 3, nk = x, ln = 2, and nm = 6

This means that:

jn * nk = ln * nm

So, we have:

3 * x = 2 * 6

Divide both sides by 3

x = 2 * 2

Evaluate the product

x = 4

Hence, the value of x is 4

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Suppose that we have this spinner. what is the probability of landing on 4 after landing on 4?

Answers

The probability that the spinner lands on 4 is its likelihood

The probability of landing on 4 after landing on 4 is 1/n^m

How to determine the probability?

Assume that the numbers on the spinner are not repeated, the probability that a spinner lands on 4 is:

P(4) = 1/n

Where n represents the number of sections on the spinner

The probability that the spinner lands on 4 again is the same for the number of times the spinner is spun

Hence, the probability of landing on 4 after landing on 4 is 1/n^m where m represents the number of spins

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Years ago, home depot had an annual dividend of $0.90. if you owned 4,000 shares of home depot, how much did you receive annually in dividends?

Answers

Given:

# of shares = 4000

Dividend per share = 0.90

The income by dividends is the product of the number of shares and the dividend per share.

Income Dividends =  # of shares x Dividend per share

4000 x 0.90 = 3600

There are 12 of the zodiac. how many people are needed to guarantee that at least six of these people have the same sign? your answer must be one integer.

Answers

Answer:es, the answer is 61. This is related to a mathematical principle called the Pigeonhole Principle, which states that if you are trying to sort  n+1  objects into k sets (where nk=r;n,k,r∈Z+), at least one set must contain at least r+1 objects. (This can be proven by proof by contradiction, but is pretty standard and so generally can just be used as justification of an answer by itself.)

For your problem, you have 12 signs of the zodiac - these are your 12 sets (so k=12). You are looking to find how many it takes before a set contains 6 objects (so r+1=6 and thus r=5). Therefore, n+1=r×k+1=12×5+1=61.

Explanation:

The excerpt is from hisaye yamamoto’s story "morning rain," published in 1952. this passage depicts a family conversation. read the passage carefully. then, in a well-written essay, analyze how yamamoto uses literary elements and techniques to convey the ways in which the communication among sadako, mr. endo, and harry reveals their complex relationships.

Answers

Yamamoto uses literary elements such as flashback and paradox to list or show  the language barrier that was said to exist between Mr. Endo, his son-in-law and the other parties involved.

What was the literary elements used in the passage about?

In the excerpt, Yamamoto was said to have make use of flashback and paradox so as to show the language issue that did exist between Mr. Endo and that of his son-in-law.

He also uses the element to show the generational divide that is said to have existed between Sadako and her father, thereby showing the strained in terms of their relationships in the family as a result of lack of communication.

Conclusively, The paradox also tell about the physical hindrances that lead to the issue or wide gap in their relationship.

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Mr. reams mixes 12 cups of paint in a large bowl. he uses the paint to fill 40 small dishes with 2 fluid ounces of paint each. how many cups of paint does mr. teams have left in the bowl?

Answers

Mr Reams uses 10 cups of paint to fill the small dishes, therefore, the amount of paints left in the bowl is 2 cups.

How to convert ounces to cups?

He mixes 12 cups of paints in a large bowl.

He uses the paint to fill 40 small dishes with 2 fluid ounces of paint each.

1 small dish = 2 fluid ounces

40 small dishes = 80 fluid ounces

Therefore,

1 fluid 0unces = 0.125 cups

80 fluid ounces = ?

cross multiply

amount of paint filled = 80 × 0.125 = 10 cups

Therefore, the amount of cups pf paint Mr Reams have left in the bowl is 12 cups - 10 cups = 2 cups.

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Evaluate the indefinite integral as an infinite series. arctan(x2) dx

Answers

The indefinite integral expressed as an infinite series  is;

[tex]= (\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{1 }{2n + 1} * \frac{(x)^{4n + 3}}{4n + 3}) + C[/tex]

How to find indefinite integral?

We will first have to look for the Maclaurin series of arctan(x).

We'll recall that from online tables of integral, this Maclaurin series of arctan(x) will have the general formula;

[tex]arctan(x) = \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{x^{2n + 1} }{2n + 1}[/tex]

When we apply that general Maclaurin series of arctan(x) to our question of arctan(x²), we have the expression as;

[tex]arctan(x^{2} ) = \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x^2)^{2n + 1} }{2n + 1}[/tex]

⇒ [tex]= \Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x)^{4n + 2} }{2n + 1}[/tex]

We now integrate the expression that we got above in the following manner to get;

[tex]\int\limitsarctan(x^{2} ) = \int\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{(x)^{4n + 2} }{2n + 1} dx[/tex]

⇒ [tex]= (\Sigma^{\infty} _{n = 0} (-1)^{n} \frac{1 }{2n + 1} * \frac{(x)^{4n + 3}}{4n + 3}) + C[/tex]

Thus, that expression gives us the indefinite integral of arctan(x²) as an infinite series.

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What does this passage most clearly reveal about lady bracknell? she believes in the importance of education. she believes in equality among all people. she believes that ignorance is a desirable trait.

Answers

Answer:she believes that ignorance is a desirable trait.

Explanation:

Answer: C

Explanation:

What is the gcf of the terms of the polynomial −12y4 + 8y3 – 4y2?

Answers

Answer:

4y2

Explanation:

If a parent cell has 10 chromosomes, how many chromosomes will be in each daughter cell?

Answers

There would be 10 in each daughter cell

Symbolism is the use of concrete things to represent

Answers

Answer:

A symbol is the use of a concrete object to represent an abstract idea.

Explanation:

It often occurs when an object, person, or situation represents an abstract idea in addition to a literal meaning.

A water balloon is dropped from a height of 144 feet

Answers

Answer:

3 seconds

Explanation:

Make a graph of the possible outputs for the trajectory of the water balloon. Then, solve for x. Doing this, you end up with 3 seconds.

A water balloon is dropped from a height of 144 feet for 3 seconds.

What is water balloon?

A water balloon, commonly referred to as a water bomb, is a latex rubber balloon filled with water that is used in practical jokes, water balloon fights, and other celebrations.

The first water balloons arrived in 1950, despite the fact that rubber balloons have been around since the first part of the 19th century (Michael Faraday created them in 1824 for his experiments).

At that time, Edgar Ellington tried to come up with a fix for the much more serious issue of trench foot. Trench foot is a condition brought on by extended exposure to cold, damp, and unclean circumstances.

Therefore, A water balloon is dropped from a height of 144 feet for 3 seconds.

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There are 18 mathematics majors and 325 computer science majors at a college. in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major?

Answers

Answer:To pick one mathematic major we have 18 way, and o pick one computer science we have 325 ways, so we have 18 * 325 = 5850 ways to make a combination from them.

Explanation:

Jacob would like to purchase a coat and a hat for a ski trip. the coat is $62. 75 and the hat is $14. 25. if the sales tax rate is 8%, then what will be the amount of tax on jacob’s purchase?

Answers

The amount of tax on jacob’s purchase is $6.16.

What is Tax rate?

Tax rate is simply the ratio at which a business or person is taxed.

To determine the amount of tax on Jacob’s purchase, we simply multiply the total purchase made by the tax rate.

Total purchase by Jacob; [tex]P = 62.75 + 14.25 = 77[/tex]

Sales tax rate; [tex]r = 8/100[/tex]

Hence, the amount of tax on jacob’s purchase is;

[tex]= 77 * \frac{8}{100}\\ \\= 6.16[/tex]

Therefore, the amount of tax on jacob’s purchase is $6.16.

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Lesson 14.1 distance in the coordinate plane answer key

Answers

The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.

What is the Distance Formula?

The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.

For example, given the following points on a coordinate plane:

A(2, 3) - (x1, y1)B(5, 6) - (x2, y2)

Using the distance formula, we would calculate the distance as:

AB =√[(5−2)² + (6−3)²]

AB = √[(3)² + (3)²]

AB = √18

AB = 4.2

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Find the probability distribution of the random variable w in exercise 3.3, assuming that the coin is biased so that a head is twice as likely to occur as a tail.

Answers

There are four major types of probability and they include:

classical, empirical, subjective axiomaticWhat is Probability?

This refers to the mathematical depictions of the possibility of an event occurring based on given variables.

Please note that your question is incomplete so I gave you a general overview of a probability distribution.

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The parents of a little girl who keeps a mare in their backyard agree to take the mare down the road to be serviced by a stallion at a breeding facility. sometime after the mare returns, she develops a thick mucus discharge from her nose and has a swelling under her jaw. this mare should have been vaccinated against

a) strangles.
b) botulism.
c) rabies.
d) potomac horse fever.

Answers

Strangles is commonly seen with discharge from the nose, so that would be the answer.

List the sample space in the given experiment how many outcomes are possible brainly

Answers

The sample space of the experiment is the elements in the set

The sample space {Head, Tail} and there are 2 outcomes in the sample space

How to determine the sample space?

From the complete question, the experiment is a toss of a coin

A coin has a head and a tail.

So, the sample space (S) is:

S= {Head, Tail}

The number of outcomes in the above sample space is 2

Hence, the sample space {Head, Tail} and there are 2 outcomes in the sample space

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How can the rebuttal best address the counterclaim? the rebuttal should include examples of jobs that are available to students and the problems associated with those jobs. the rebuttal should acknowledge that school remains a priority and discuss the benefits of a balance between school and work. the rebuttal should address the need for a discussion on the matter by restating both points before reaching a conclusion. the rebuttal should state a logical explanation for both opinions before granting credibility to the need for school to remain a priority.

Answers

Answer:

The rebuttal should acknowledge that school remains

a priority and discuss the benefits of a balance

between school and work.

Explanation:

Answer:

B. The rebuttal should acknowledge that school remains a priority and discuss the benefits of a balance between school and work.

Explanation:

edge 2022 <3

What are the disadvantages of using artificial blood brainly

Answers

Answer:

To be effective, a blood substitute has to function like hemoglobin in carrying oxygen to organs and cells inside the patient's body. The problem, however, is that hemoglobin outside of RBCs is toxic.

Explanation:

Let w be the union of the first and third quadrants

Answers

Answer:

union mean between so the. first n second quadrants are at 180 degree so we will divide my 2 n then get the answer to be 90

Two skydivers of different masses jump from a plane

Answers

The relationship between the net force of both sky divers is that; the net force for both skydivers is the same.

What is the net force experienced?

We are told that two skydivers of different masses are jumping out of an airplane. Now, at some point, both skydivers will slow down to the point at where they reach constant velocity.

Due to the fact that the velocity for both sky divers is constant, it means that no acceleration will occur and as such, the net force on each sky diver is zero.

Thus, we conclude that the net force for both skydivers is the same.

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Leo wants to buy some shoes. he found the shoes at three different stores for a price of $35. the stores are each having a sale.

Answers

Answer:

there is no question

Explanation:

there is no question

Determine whether f is an exponential function of x. if so, find the constant ratio

Answers

The constant ratio of the function f is its growth rate

The function f is an exponential function with a constant ratio of 2

How to determine if the function is an exponential function?

To do this, we simply divide the consecutive function values

From the complete question (see attachment for the table), we have:

f(-1) = 1/4

f(0) = 1/2

f(1) = 1

f(2) = 2

Divide the function values to get the ratio, r

r = f(2)/f(1) = f(1)/f(0) = f(0)/f(-1)

This gives

r = 2/1 = 1 / 1/2 = 1/2 / 1/4

Evaluate the quotients

r = 2 = 2 = 2

The value of r is the same for the three quotients.

Hence, the function f is an exponential function with a constant ratio of 2

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Math accelerated chapter 11 congruence similarity and transformations answers

Answers

An example of congruence similarity and transformations work is " If the measures of the angles of a triangle are in the ratio 4 : 5 : 9. The triangle is?.

What is right angled triangle?

A right triangle is known to be often called right-angled triangle. It is said to be a triangle that is composed of one angle which is at a right angle and two sides which are said to be perpendicular.

So lets take the angles to  be 4x, 5x and 9x

We add them to be 4x + 5x + 9x =180°

18x=180° =

x= 180/18

x = 18

So therefore the angles are:

4×10°

=40°

5×10°

=50°

9×10°

=90°

So therefore since one of the angle is 90° and as such,  the triangle is right angled triangle.

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A swimsuit is on sale for $ 29.75 $29.75. if the original price of the swimsuit is $ 35 $35, what is the percent of the discount?

Answers

The percentage of the discount of the swimsuit with original price of $35 and current price of $29.75 is; 15%

What is the discount percenttage?

We are given;

Current price of swimsuit = $29.75

Original price of swim suit = $35

Difference in price = $35 - $29.75

Difference in price = $5.25

Percentage discount = 5.25/35 * 100%

Percentage discount = 15%

In conclusion, the percentage of the discount of the swimsuit is 15%

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Over the last 100 years, humans have made great strides in developing technologies that can forecast severe weather before it happens. however, despite the best scientific data and tools available, we are still sometimes surprised by weather. in 2015, an unexpected spring storm produced severe tornadoes in iowa. sometimes—even with computer models and satellite imaging—tornadoes, hurricanes, and other severe storms cause unspeakable damage to communities. do you think humans will ever be able to forecast severe weather with 100% accuracy? what challenges do we face in developing technology that can do so? besides forecasting tools, what other technology is needed to prevent severe storms from causing disasters? do you think all countries have the financial capability to support the development and operation of these technologies? if not, do you think there is an ethical obligation for countries with more financial resources to help poorer countries access these technologies?

Answers

The modern civilization is already able to predict climate conditions with nearly 100% precision.

What is precision in meteorology?

Precision in meteorology makes reference to the ability to predict climate conditions in the median-long periods of time.

The development of technologies to accurately predict climate conditions will largely depend on computer models capable of integrating huge volumes of data.

The main challenge for the development of this type of technology is associated with the impossibility to manage complex climate factors in controlled (experimental) conditions.

In general, developing countries don't have the financial support to develop and sustain this type of technology.

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How are businesses taxed with the corporate income tax brainly

Answers

Businesses taxed with the corporate income tax are done on the profits after deducting all the expenses.

What is a Tax?

This is a levy imposed on taxpayers by government organizations which helps to provide a source of revenue.

Businesses usually taxed with the corporate income tax by deducting all the expenses after profit has been determined.

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When written as y=f(x) a function is said to be defined

Answers

Answer:

Explicity

Explanation:

so when we have a function is y is equal to f of X. Which this is really just saying that it's only dependent on one input. Then these kind of functions are called explicitly defined.

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