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Nonamiya [84]
1 year ago
13

There is a harvest festival each year on the planet Bozone. During that time, most of the Bozone residents sit down to rejoice a

nd eat roast snig. Past history shows that a reasonable price-demand equation is: p = 300 − 18 x where x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat. a . To sell an additional kilogram of snig, how much does the price need to decrease
Mathematics
2 answers:
Oliga [24]1 year ago
8 0

Answer:

The price would be decreased by 18 bozats

Step-by-step explanation:

The following information is given in the question

x = number of kilograms of snig sold

P = Price per kilogram

And, the equation is

p = 300 - 18x

Now if an extra kilogram is sold so it should be x+1

Now the new price is

New price = 300 - 18(x + 1)

= 300 - 18x - 18

Therefore the price would be decreased by 18 bozats

Lina20 [59]1 year ago
7 0

Given that:

Price-demand equation is

p=300-18x

where, x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat.

To find:

The price which needs to decrease to sell an additional kilogram of snig,

Solution:

We have,

p=300-18x

If x=1, then

p=300-18(1)

p=300-18

p=282

It means, the price is 282 if 1 kg of snig sold.

Similarly,

If x=2, then

p=300-18(2)

p=300-36

p=264

It means, the price is 264 if 2 kg of snig sold.

Change in price if sales increased by 1 kg is

264-282=-18

Here, negative sign means decrease in price.

Therefore, the price needs to decrease by 18 to sell an additional kilogram of snig.

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Rectangle TUVW is on a coordinate plane at T (a, b), U (a + 2, b + 2), V (a + 5, b − 1), and W (a + 3, b − 3). What is the slope
masya89 [10]

Answer:

The correct option is;

A 1

Step-by-step explanation:

The given rectangle TUVW has coordinates T(a, b), U (a + 2, b + 2), V ( a + 5, b - 1) and W (a + 3, b - 3).

Given that the coordinates of T and U are T (a, b), and U (a + 2, b + 2), we have;

The slope, m of the line TU is is found by the following relation;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where we put (x₁, y₁) = (a, b) and (x₂, y₂) = (a + 2, b + 2), we have;

m = ((b + 2) - b)/((a + 2) - a) = 2/2 = 1

Whereby the slope of a line parallel to another line are equal, we have that the slope of the line parallel to the line that contains the side TU is also 1.

7 0
1 year ago
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The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is
Ede4ka [16]

Answer:

The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2 with (h,k) being the center of the circle and r being the radius. In this case the circle's equation in standard form is (x-2)^2 + (y+3)^2 = 18. Knowing this it's easy to see that the center of the circle (h,k) is (2,-3). Finally the radius is \sqrt{18} or in simplified terms, 3\sqrt{2}

Step-by-step explanation:

7 0
2 years ago
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One year ago, you purchased 600 shares of stock for $14 a share. the stock pays $.41 a share in dividends each year. today, you
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If you paid $14 for 600, you paid:

600 * 14 = $8,400.00

If you sold them for $15.30 a share, you made:

600 * 15.30 = $9,180

9,180 - 8,400 = $780

The return on the investment being $780

Very very safe investment and not worth it.
5 0
2 years ago
Tickets to a musical cost $30 for adults and $12 for children. At one particular performance 960 people attended and $19 080 was
postnew [5]
In order to solve this, you have to set up a systems of linear equations.

Let's say that children = c and adults = a

30a + 12c = 19,080
a + c = 960

I'm going to show you how to solve this system of linear equations by substitution, the easiest way to solve in my opinion.

   a + c = 960 
       - c    -    c
 ---------------------- ⇒ Step 1: Solve for either a or c in either equation.
   a = 960 - c 



20(960 - c)+ 12c = 19,080
19,200 - 20c + 12c = 19,080
   19,200 - 8c = 19,080
 - 19,200         - 19,200
---------------------------------- ⇒ Step 2: Substitute in the value you got for a or c
         8c = -120                    into the opposite equation.                                                
       ------  ---------
          8         8
 
         c = -15



30a + 12(-15) = 19,080
   30a - 180 = 19,080
          + 180  +     180
 -------------------------------
   30a = 19,260
  -------   -----------
    30          30
     
       a = 642
__________________________________________________________

I just realized that there can't be a negative amount of children, so I'm sorry if these results are all wrong. 


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2 years ago
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HELP! 50 POINTS!
Alexxandr [17]

(4, -1) ---> x = 4 and y = -1

If you look at the graph you can se this

Mark points (0, 2) and (8, -4) in the coordinate plane

Plot the line going through both of these points.

Read the coordinates of the intersection of the line so you can see the solution!

6 0
1 year ago
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