Liz owns stock in Nar Heating/Cooling and Cilla Shipping. She owns 120 more shares of Cilla Shipping than she does of Nar Heating/Cooling. Nar Heating/Cooling pays a yearly dividend of $5.78 per share, and Cilla Shipping pays a yearly dividend of $4.15 per share. If Liz receives $1630.02 in dividends annually, how many shares of Nar Heating/Cooling does she own?

Answers

Answer 1
Answer: The number of shares of Nar Heating/Cooling that Liz has is 114. Let x be the number of shares in Nar Heating/Cooling and y the number of shares in Cilla Shipping. Liz owns 120 more shares of Cilla Shipping than she does of Nar Heating/Cooling: y = x + 120. Liz receives $1630.02 in dividends annually: 5.78x + 4.15y = 1630.02. This is the system of two equations: y = x + 120 and 5.78x + 4.15y = 1630.02. Substitute y from the first equation into the second one: 5.78x + 4.15(x + 120) = 1630.02. 5.78x + 4.15x + 498 = 1630.02. 9.93x + 498 = 1630.02. 9.93x = 1630.02 - 498. 9.93x = 1132.02. x = 1132.02/9.93 = 114. So, the number of shares in Nar Heating/Cooling is 114.
Answer 2
Answer:

Answer:

Edge answer is B) 114 shares

Step-by-step explanation:

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Answers

Answer:

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Answer:

The rate is about 19 $

Step-by-step explanation:

Juan visited a candy store and purchased 7 pounds of candy consisting of Atomic Fireballs and Gummi Bears. Atomic Fireballs cost $4.25 per pound and Gummi Bears were on sale for $1.25 per pound. Juan spent a total of $14.75, before taxes. Let x represent the number of pounds of Atomic Fireballs and y represent the number of pounds of Gummi Bears uan purchased. Which of the following graphically represents this situation?

Answers

Answer:

The 2nd graph correctly represents the situation.

Step-by-step explanation:

Let the number of Atomic Fireballs= x and the number of Gummi bears= y.

Now, Juan purchased total 7 pounds of candies.

So, x+y=7

Also, the cost of Atomic Fireballs and Gummi bears is $4.25 and $1.25 per pound respectively.

Since, Juan spent total $14.75 before taxes.

Then, 4.25x+1.25y=14.75

That is, the system of equations is given by,

x+y=7

4.25x+1.25y=14.75

Plotting the equations, we get that,

The 2nd graph shown below correctly represents the situation.

The answer is the graph on picture #2.

The Q says for fireballs to be x and gummy bears to be y. So they correspond to their axis. Knowing this you get rid of the last 2 graphs. When you plug in these vertexes into the equations, the only right answer is the graph in picture 2.

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Answers

negative 73
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Barry brought 17.50 meters of a light rope at $0.48 per meter and three meters of heavy rope at $1.08 per meter. How much change did he get back from three $5 bills?

Answers

Barry will get back $3.36.

What is the definition of a two-column proof

Answers

Definition of Two-Column Proof. A proof is a logical argument presented with factual statements in order to arrive at a conclusion. Writing a proof is like solving a puzzle or using legos to create a model of something. Everything needs to fit in an appropriate place.

At the space center, Karen bought a model of a shuttle. She started working on the model the next day at 11:13 A.M. She worked until leaving for lunch at 11:54 A.M. After lunch, she worked on the model again from 1:29 P.M. Until 1:46 P.M. How long did Karen work on the model? Karen worked on the model for minutes.

Answers

Answer:

58 minutes.

Step-by-step explanation:

From the question, Karen worked on the model in two windows;

1) 11.13 AM - 11.54 AM = 41 minutes

2) 1.29 PM - 1.46 PM = 17 minutes.

Hence, the total amount of time Karen spent working on the Shuttle model is:

41minutes + 17minutes = 58 minutes.