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Anit [1.1K]
3 years ago
12

Origanal price;0.75

Mathematics
1 answer:
bija089 [108]3 years ago
5 0
Since, no amount was given.

Finding original price using discount price and discount rate

Original price = Discount price divide by discount rate

Assuming Discount price is 20 and discount is 0.75
Original price = 20 / 0.75
Original price = 26.67

Sales price = Original price times net of 100% and sales discount in percentage

Assuming Original price is 100 ; 15% discount
Sales price = 100 x (1 - 0.15) = 100 x 0.85 = 85

or

Sales price = Original Price minus Original price times discount
                   = 100 - (100 x 0.15)
                   = 100 - 15
Sales price = 85
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Explain how to find the square root of 100. Explain why you use the underlined + sign.
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Answer:

±10

Step-by-step explanation:

so what squared is 100?

10. but also -10.

10*10 = 100, and -10*-10 is also 100.

therefore, sqrt(100) has two solutions, which are positive or negative 10, and that's the application of ±.

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Solve the linear programming problem. Minimize and maximize Upper P equals negative 20 x plus 30 y Subject to 2 x plus 3 y great
Alika [10]

Answer:

Maximum = 540 at (6,14)

Minimum = 300 at (0,10) or (12,2).

Step-by-step explanation:

The given linear programming problem is

Minimize and maximize: P = 20x + 30y

Subject to constraint,

2x+3y\ge 30            .... (1)

2x+y\le 26            .... (2)

-2x+3y\le 30            .... (3)

x,y\geq 0

The related equation of given inequalities are

2x+3y=30

2x+y=26

-2x+3y=30

Table of values are:

For inequality (1).

x      y

0     10

15     0

For inequality (2).

x      y

0     26

13     0

For inequality (3).

x      y

0     10

15     0

Pot these ordered pairs on a coordinate plane and connect them draw the corresponding related line.

Check each inequality by (0,0).

2(0)+3(0)\ge 30\Rightarrow 0\ge 30    False

2(0)+(0)\le 26\Rightarrow 0\le 26     True

-2(0)+3(0)\le 30\Rightarrow 0\le 30    True

It means (0,0) is included in the shaded region of inequality (2) and (3), and (0,0) is not included in the shaded region of inequality (1).

From the below graph it is clear that the vertices of feasible region are (0,10), (6,14) and (12,2).

Calculate the values of objective function on vertices of feasible region.

Point           P = 20x + 30y

(0,10)           P = 20(0) + 30(10) = 300

(6,14)           P = 20(6) + 30(14) = 540

(12,2)           P = 20(12) + 30(2) = 300

It means objective function is maximum at (6,14) and minimum at (0,10) or (12,2).

7 0
3 years ago
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