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You invest $6000 into an account paying 3.75% annual interest compounded bimonthly(every 2 months), and you want to have $10,000 saved for your first year of college. How long will it take for your investment to grow that large? Round your answer to the nearest whole number.

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The formula is
A=p (1+r/k)^kt

A future value 10000
P present value 6000
R interest rate 0.0375
K compounded every two months 6
T time?

We need to solve for t
T= [log (A/p)÷log (1+r/k)]÷k
T=(log(10,000÷6,000)÷log(1+0.0375÷6))÷6
T=13.7 years
Round your answer to get
T=14 years

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Which type of logical fallacy is being presented in the argument below? “Officer, I apologize for running through the tollbooth without paying. I really think you should let me go with a warning because I just got laid off from my job today. I was crying and I didn’t even see the tollbooth and if you give me a ticket, I don’t know how I’m going to pay for it now that I’m unemployed.” A. appeal to common opinion B. personal attack C. false dilemma D. appeal to pity

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Which type of logical fallacy is being presented in the argument below? “Officer, I apologize for running through the tollbooth without paying. I really think you should let me go with a warning because I just got laid off from my job today. I was crying and I didn’t even see the tollbooth and if you give me a ticket, I don’t know how I’m going to pay for it now that I’m unemployed.” A. appeal to common opinion B. personal attack C. false dilemma D. appeal to pity

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If you deposit $5,400 at the end of each of the next 25 years into an account paying 10.3 percent interest, how much money will you have in the account in 25 years

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If you deposit $5,400 at the end of each of the next 25 years into an account paying 10.3 percent interest, how much money will you have in the account in 25 years

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Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?A.$117B.$680C.$760D.$820

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Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?A.$117B.$680C.$760D.$820

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How is Mexico’s economy affecting its social problems? a. The growing economy is creating many poor people. c. There are many high paying job opportunities in Mexico’s economy. b. The growing economy is helping the middle class to grow. d. Many people cannot find work because the economy is rapidly declining.

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Natural Forces Affecting the Driver:

1. While the car stops, the person continues moving the way that the car were moving and then hits the obstacle in the car or the person can be thrown out of the vehicle. If the person wears belt, he will stop moving with the vehicle and won’t hit the obstacle.

2. We count approximate kinetic energy using the formula K = v^2. So the vehicle which is moving at 30 mph will have four times less kinetic energy than vehicle which is moving at 60 mph. If they have the same road conditions, the breaking distance will be four times as great for the car moving twice as fast.

3. Kinetic energy depends on object’s mass and velocity and it has direct relationship with the stopping distance. The lesser mass of the vehicle = the lesser kinetic energy and lesser stopping distance. => If both vehicles have the same velocity, then small vehicle has lesser kinetic energy than large vehicle.

4. We know that kinetic energy has this relationship with velocity K = v^2. So the best way to prepare to enter sharp curves in the roadway is to lower the speed. The most appropriate speed is 20-30 mph, but it depends on road conditions and car’s breaks condition.

5. Car crashes can happen with everyone so the best way is to be prepared. First the driver should wear a seatbelt while he’s driving. He should check his tires and breaks condition regularly. And also it’s important to slow down the vehicle while entering sharp curves. Without following these rules, the driver can get catastrophic injuries in a car crash.

Signs, Signals, and Pavement Markings: 

1. It doesn’t matter where you go. All you need is to learn highway code. It’s very different to know the meanings of every road sign. Also, it’s necessary to check your car’s conditions and you should take some spare parts for your car in case of accidents. So wherever you go, it’s important to be prepared.

2. You should stop before crossing and take few minutes to make sure there is no train approaching. If there is no train approaching, you can pass a railroad crossing. If you see approaching train, you should wait until it will pass a railroad crossing.

3. You should stop before the lights and wait to check the traffic movement and signs. Make sure that everything is safe and pass the intersection. Don’t move fast to avoid accidents.

4. Flashing yellow light means that it’s not necessary to stop but you should to pay attention on the traffic movement. So it would be better to yield before the lights and make sure if it’s safe to move. After that you can cross the intersection.

5. The line change means that the lane changes and you can’t cross solid lines. Pay more attention on road marking because it shows how you should behave on the road or highway.

6. As you approach the next exit and  your passengers need to use the restroom and get some food, you should look for green signs which indicate food and rest stops. You should to slow down if you don’t want to skip the sign.

7. When you take the exit ramp off the expressway and merge onto the next road, you see yellow lines dividing the roadway which indicates that there is oncoming traffic and this is a two-way highway. 

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The most common listening problem is A. trying to listen to two people at once. B. assuming what the other person has to say isn't important. C. paying attention but misinterpreting the message. D. not giving other people a chance to talk. Mark for review (Will be highlighted on the review page)

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The most common listening problem is A. trying to listen to two people at once. B. assuming what the other person has to say isn’t important. C. paying attention but misinterpreting the message. D. not giving other people a chance to talk. Mark for review (Will be highlighted on the review page)

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You are planning your week-end schedule. You can spend at most 8 hours paying video games and doing homework. You want to spend less than 2 hours playing video games. You must spend at lest 1.5 hours on homework. Which of the following is the system of equations that would represent this situation? Let v= number of hours spent playing video games and let h = the number of hours spent on homework. A) None of these B)v1.5 h≤2 v+h≥8 v≥0 h≥0 E) v>2 h≤ 1.5 v+h≥8 v≥0 h≥0

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Answer:

3 hours.          

Step-by-step explanation:

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be frac{1}{x}.

The number of pair of shoes repaired by assistant in one hour would be frac{1}{2x}.

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:

frac{1}{x}+frac{1}{2x}=frac{8}{16}

frac{1}{x}+frac{1}{2x}=frac{1}{2}

Let us have a common denominator.

frac{2*1}{2*x}+frac{1}{2x}=frac{1}{2}

frac{2}{2x}+frac{1}{2x}=frac{1}{2}

frac{2+1}{2x}=frac{1}{2}

frac{3}{2x}=frac{1}{2}  

Upon cross multiplying our equation we will get,

2x*1=3*2

2x=3*2

frac{2x}{2}=frac{3*2}{2}

x=3

Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.

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You are planning your week-end schedule. You can spend at most 8 hours paying video games and doing homework. You want to spend less than 2 hours playing video games. You must spend at lest 1.5 hours on homework. Which of the following is the system of equations that would represent this situation? Let v= number of hours spent playing video games and let h = the number of hours spent on homework. A) None of these B)v1.5 h≤2 v+h≥8 v≥0 h≥0 E) v>2 h≤ 1.5 v+h≥8 v≥0 h≥0

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Answer:

3 hours.          

Step-by-step explanation:

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be frac{1}{x}.

The number of pair of shoes repaired by assistant in one hour would be frac{1}{2x}.

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:

frac{1}{x}+frac{1}{2x}=frac{8}{16}

frac{1}{x}+frac{1}{2x}=frac{1}{2}

Let us have a common denominator.

frac{2*1}{2*x}+frac{1}{2x}=frac{1}{2}

frac{2}{2x}+frac{1}{2x}=frac{1}{2}

frac{2+1}{2x}=frac{1}{2}

frac{3}{2x}=frac{1}{2}  

Upon cross multiplying our equation we will get,

2x*1=3*2

2x=3*2

frac{2x}{2}=frac{3*2}{2}

x=3

Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.

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Lonette and al want to purchase a home and avoid paying private mortgage insurance (pmi). what minimum amount of down payment is required for them to purchase a $36,750 home to avoid pmi?

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Lonette and al want to purchase a home and avoid paying private mortgage insurance (pmi). what minimum amount of down payment is required for them to purchase a $36,750 home to avoid pmi?

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Which of the following is not a power of the United States Congress? A. Enforcing immigration laws B. Regulating commerce between the states C. Establishing and paying for the armed forces D. Levying and collecting taxes

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Which of the following is not a power of the United States Congress? A. Enforcing immigration laws B. Regulating commerce between the states C. Establishing and paying for the armed forces D. Levying and collecting taxes

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Which statement most likely left her audience with a lasting impression about the need for change? A. What we need are laws to protect working people, to guarantee them fair pay, safe working conditions, and protection against layoffs. B. There is a concentration of women in lower paying, menial, unrewarding jobs and an incredible scarcity in the upper level jobs. C. It is true that part of the problem has been that women have not been aggressive in demanding their rights. D. If a young college-educated woman walks into an office for an interview, the first question she will be asked is, “Do you type?”

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Technician is a worker trained with special skills, especially in science and engineering.

1. Agricultural technician – gathers crop or animal samples for scientific testing. (Agricultural: used for farming or relating to farming.)

2. Hydorelectric technician – Analyzes water for envinromental issues, such as drought, pollution, or erosion. (Hydroelectric – electricity produced by the energy of fast -moving water.)

3, Home appliance repairman – troubleshoots and repairs faulty machinery and equipment. (Appliance: a device, machine or piece of equipment)

4. Textile tender – operates and tends cutting machines for various textiles.

(Textile: a cloth made by hand or machine)

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Brittany has the right when her child is born to take one full year of leave with two-thirds of her pay, and there is substantial flexibility and support for paying for childcare after that. it is likely that brittany lives in __________.

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The answer is “John offers a ride back home to Jack in exchange for his favorite music DVD for a day.”

A unilateral contract is an agreement made by an offer than must be acknowledged by execution.  

In a unilateral contract, there is an express offer that installment is made just by a gathering’s execution. Another case of a one-sided contract is a reward or a challenge.  

In a unilateral contract, the offeror may repudiate the offer before the offeree’s execution starts. Normally the renouncement should be express.  

Like contract law when all is said in done, explicit rules on one-sided contracts are represented by state laws, instead of government laws.

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The owner of a camera store is worried that her new employees may help themselves to items from inventory without paying for them. what kind of hazard is described?

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The total return from the stock investment is:

Total return in $ = $28.20 * 400 + $1.34 * 400 – $26.15 *
400

Total
return in $ = $1,356.00

 

Or in percentage, this is equivalent to:

%return = 1356/(26.15*400) *100%

%return = 12.96% (A gain of ~13% from your stock
investment)

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Which of these civic responsibilities is required of all citizens? a. registering to vote in elections b. serving in the armed forces c. paying state and local taxes d. working in a civic organization

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Answer:

You and your sibling, whose name is ______    , go to your favorite store called     Walmart.   . There, ______.    finds a toy to buy, called a     nerf gun    . He really wants this toy. The toy is labeled $3.99, and so he brings it to the cashier. The cashier tells your sibling, “That will be $4.19.” Your sibling removes four dollar bills from a pocket and then, finding no more money, starts to cry. He turns to you and begins asking questions as you walk away from the counter.

“Why was the label wrong? It said $3.99!”

You respond, “It rang up as $4.19 because of     taxes    . This is     extra money business have to charge because the government saves the money in a piggy bank like we do, just in case something brakes, they can take money out of the bank to fix it. Things like roads and buildings.    . We pay other types of     taxes     to the government such as     federal state and local taxes    

“Why do we pay them? It seems so unfair! Now I can’t have my toy!”

You respond, “We pay them because     it’s the law    Governments at each level provide us with different things such as roads, food for us to but It helps the economy because where would the government get their money, so they can buy things for us to buy

“It doesn’t help me. I shouldn’t have to pay. I’m just a kid.”

You respond, “Even kids benefit. One specific example is getting free vaccines. A way that our family benefits is how we get to pay only less after being hospitalized. A way that our community benefits is how we get new school buildings.

“How was I supposed to know all this? I don’t have 19 cents. What do I do now?”

You respond, “What you should do is create your own budget. A budget how you plan to spend your money. It lists all your income and expenses. When you subtract expenses from income

. what is left can be spent how you please , on things you don’t really need or it could be an emergency fund. The reason having a budget is bad is because you can’t spend all of your money that you would like to.  

“Will my budget be anything like the government’s budget?”

You respond, “They have similarities and differences. Some similarities include paying for transportation. Some differences include  the governments highest priority is social security, while personal budgets do not include that.  

( hope this helps!!! the stuff in bold is what gose in the blanks. <3

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(Informational Response) Review the excerpt above. Answer the following question in a well-developed paragraph. How does the excerpt prepare the reader for the last line? What details and descriptions prepare the reader for the change in tone and mood in that final line? **Be sure to re-state the question in your topic sentence and use specific examples and details from the story to support your answers. Proofread your work before submitting. Chapter I, The Beginning of Things They were not railway children to begin with. I don’t suppose they had ever thought about railways except as a means of getting to Maskelyne and Cook’s, the Pantomime, Zoological Gardens, and Madame Tussaud’s. They were just ordinary suburban children, and they lived with their Father and Mother in an ordinary red-brick-fronted villa, with coloured glass in the front door, a tiled passage that was called a hall, a bath-room with hot and cold water, electric bells, French windows, and a good deal of white paint, and ‘every modern convenience’, as the house-agents say. There were three of them. Roberta was the eldest. Of course, Mothers never have favourites, but if their Mother HAD had a favourite, it might have been Roberta. Next came Peter, who wished to be an Engineer when he grew up; and the youngest was Phyllis, who meant extremely well. Mother did not spend all her time in paying dull calls to dull ladies, and sitting dully at home waiting for dull ladies to pay calls to her. She was almost always there, ready to play with the children, and read to them, and help them to do their home-lessons. Besides this she used to write stories for them while they were at school, and read them aloud after tea, and she always made up funny pieces of poetry for their birthdays and for other great occasions, such as the christening of the new kittens, or the refurnishing of the doll’s house, or the time when they were getting over the mumps. These three lucky children always had everything they needed: pretty clothes, good fires, a lovely nursery with heaps of toys, and a Mother Goose wall-paper. They had a kind and merry nursemaid, and a dog who was called James, and who was their very own. They also had a Father who was just perfect—never cross, never unjust, and always ready for a game—at least, if at any time he was NOT ready, he always had an excellent reason for it, and explained the reason to the children so interestingly and funnily that they felt sure he couldn’t help himself. You will think that they ought to have been very happy. And so they were, but they did not know HOW happy till the pretty life in the Red Villa was over and done with, and they had to live a very different life indeed. The dreadful change came quite suddenly.

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Answer:

D) I drove them, all three wailing, to the ships,

Explanation:

Odysseus chooses to do battle with the Greeks despite the fact that he wouldn’t like to leave his wife and child. Being a decent pioneer he will be, he sets aside his own wants and unselfishly offers himself to fighting for his nation.

During the war with Troy, he is splendid in fighting. He thinks of the possibility of the Trojan Horse. At the point when the Trojans open their doors and get the Trojan Horse, Odysseus and the Greeks get inside the city of Troy. Odysseus drives his men to triumph.  

During his trek home from the war, Odysseus drives his men through numerous obstructions. He is brave even with beasts and hazardous ladies, for example, Circe and Calypso. Odysseus never surrenders in attempting to protect his men. Despite the fact that he loses men, he is crushed by the way that he couldn’t spare every one of his men.

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QUESTION 2 Which of the following is true of both paying with a check and paying with a debit card?

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Hi!

Answer:

The answer to your question is option C, both characters lose their bet with the Devil.

Explanation:

In both stories, the main character lusts for something beyong them. This would be wealth in the case of Tom Walker and knowledge in the case of Faust.  

In the case of Faust, the main character believes he has reached the limits of knowledge, and challenges God saying that he could turn God servant (Faust) over to sin and evil. The Devil then goes after Faust successfully  tempting him to commit evil.

In the Devil and Tom Walker, the two protagonists decide to sell their souls to evil in exchange of wordly pleasures.

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You purchase a car using a $20,000 loan with a 5% simple interest rate. (a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? (b) Suppose you pay the loan off after 3 years. How much interest do you save by paying the loan off sooner? Show your work and don’t forget the unit!

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Answer with explanation:

Cost of a Pencil = $ 0.25

Cost of a Eraser = $ 0.50

⇒Total Amount Spent on Pencil and Eraser < 3.

⇒Cost of x Pencil +Cost of y Eraser < 3

⇒ 0.25 x + 0.50 y < 3

Rightarrow frac{25 x}{100}+frac{50y}{100}< 3\\Rightarrow 2 5 x +50 y < 300\\Rightarrow x +2 y < 12\\Rightarrow frac{x}{12}+frac{2y}{12}<1\\Rightarrow frac{x}{12}+frac{y}{6}<1

⇒Put, x=0 and y=0,to know which side of the graph you have to shade.

0+0< 12⇒0< 12

Shade that part under line,  which contains origin.

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Both families use 1250 kWh for the given 30 day period. The Freeman family uses 400 kWh during on-peak hours and 850 during off-peak hours. Which family ends up paying more for their utilities? How much more? a. The Freeman family pays $260.83 more than the Baum family. b. The Freeman family pays $250.00 more than the Baum family. c. The Baum family pays $69.00 more than the Freeman family. d. The Baum family pays $78.25 more than the Freeman family.

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Answer: Height of building = 11.5 feet.

Explanation:

Since we have given that

Height of flagpole = 30 foot

Length of shadow of flagpole = 52 foot

According to question, if a building is built 32 feet away,

Length of shadow of building will be

52-32=20 foot

Let height of building be h.

Now, we know that there is direct variation, so it becomes

frac{30}{52}=frac{h}{20}\\30times 20=52times h\\frac{600}{32}=h\\h=11.5 feet

Hence, height of building = 11.5 feet.

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A frozen dinner at a grocery store is purchased for $2.20 wholesale and is marked up by 40 percent. A customer wants to buy four frozen dinners. How much will the customer pay, including paying 9 percent sales tax? Round your answer to the nearest cent.

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The first step is to find the area of the bulletin board–this will let you know how much space you have to cover. 

The problem tells you the bulletin board has sides that are 4 and 3 feet, making this a rectangle. The formula for finding the area of a rectangle is:

A = lw therefore, multiply 4×3 to find your area, which is 12 ft (it’s important to note what measurement you’re using).

The index cards are 4×6 inches, so use the same formula to find the area of an individual index card.

4×6=24, so one index card takes up 24 inches of space. 

To find out how many you can get on the board, you will divide the space of one index card by the space of the board. HOWEVER, the board is currently measured in feet, and our cards are measured in inches. We have to convert the board’s area into inches.

12 inches = 1 foot. We have 12 ft of board. So multiply 12×12 to get the area of the board in inches. 

12×12=144 < there is 144 inches of open space on the bulletin board.
Now jump back to the area of one index card: 24. Now we must divide 144 by 24 to see how many card will fit. 

144/24=6 < this is the number of cards that can fit on the bulletin board. 

Answer: 6 cards are needed to cover the board. 

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Cassius is an exchange student in Australia for one semester. He purchased some gifts first family for AU$491. If the exchange rate that day is USD to AUD equals 0.94 how much is he paying in American dollars? (show work) A= $522.34 B= $491.94 C= $191.45

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Cassius is an exchange student in Australia for one semester. He purchased some gifts first family for AU$491. If the exchange rate that day is USD to AUD equals 0.94 how much is he paying in American dollars? (show work) A= $522.34 B= $491.94 C= $191.45

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Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay. How much did the bicycle cost? After how many weeks will Hugo finish paying for the bike?

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Answer-

The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.

Solution-

A graph of the function will be discrete, if the value of that function is always an integer. Otherwise, it will be a continuous graph.

In this case the graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.

And since we can get, for example, 5.4, 6.9, etc gallons of gas, we can get amounts that are not integers.

y = total amount of gasoline in the tank

x = number of gallons that she added in the tank.

y = x + 4 (as 4 gallons of gas already in the tank)

And it is a polynomial function and all polynomial functions are continuous everywhere.

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