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tia_tia [17]
3 years ago
14

A website-hosting service charges businesses a onetime setup fee of $350 plus d dollars for each month. If a business owner paid

$1,010 for the first 12 months, including the setup fee, what is the value of d
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer:

$55.

Step-by-step explanation:

We have been given that a website-hosting service charges businesses a onetime setup fee of $350 plus d dollars for each month. A business owner paid $1,010 for the first 12 months, including the setup fee.  

We can use our given information to form an equation as:  1010=12d+350    

Now let us solve for d.  

1010-350=12d  

660=12d          

d=\frac{660}{12}

d=55

Therefore, the value of d is $55.  

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During a football game, the visiting team was given 4 penalties for 15 yards each. What was the change in the visiting team’s fi
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Step-by-step explanation:Mutiply 4 and 15

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A certain piece of copper wire is determined
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14

Step-by-step explanation:

mass of 100 centimeters of copper wire is 2.00

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Consider a regular deck of cards with 52 cards in total. Four of a kind is a poker hand that contains all four cards of one rank
svet-max [94.6K]

Answer:

No.

Step-by-step explanation:

This is because if one event happens before the other, the odds of the other event happening will change due to less cards being left to pick from.

Consider the scenario where 4 of a kind all contained 10's from the deck.

The possibility of a full-house with a 10 in the pile would be zero if there were no 10's left after the four of a kind turn had been made. Thus, since the four of a kind affects the probability of the full house, and vice versa, they are both dependent on each other and hence not exclusive events.

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3 years ago
Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *
Luda [366]

Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

Foci  (-2, 2)  (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

                  2c = 6

                    c = 6/2

                    c = 3

3.- Determine a

                  2a = 10

                    a = 10/2

                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

                   b² = 5² - 3²

                   b² = 25 - 9

                   b² = 16

                   b = 4

5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

                      \frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1

                       \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1                

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3 years ago
Show that the set of points (-2;-6),(2;-4),(4;-3) are collinear ​
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