The list price of a commodity is RM420 and the percentage profit is 40%. If the commodity is sold at a discount of 10%, the profit is____.​

Answer:

0.00790625

Step-by-step explanation:

499.9997656975

Astronomical unit

=

0.00790625

Light-year

Formula

for an approximate result, divide the length value by 63240

Answer:

the interest for 100 in 5 years us 12.5

The parabola with the minimum at (4, -3) is the third option:

[tex]y = 0.5*x^2 - 4x + 5[/tex]

Remember that for a parabola of the form:

[tex]y = a*x^2 + b*x + c[/tex]

If a > 0, the minimum is at the x-value of the vertex:

[tex]x = \frac{-b}{2a}[/tex]

If a < 0, there is no minimum (so we discard option 2).

Taking the third option:

[tex]y = 0.5*x^2 - 4x + 5[/tex]

The x-value of the vertex is:

[tex]x = \frac{-(-4)}{2*0.5} = 4[/tex]

As expected.

To get the y-value of the vertex (and minimum) we just evaluate the parabola equation in x = 4.

[tex]y = 0.5*(4)^2 - 4*4 + 5 = -3[/tex]

So the minimum is at (4, -3), as expected, so that is the correct option.

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Answer:

sorry i dont know the answer .

Answer:

[tex](a+b)(a^2-ab+b^2)=a^3+b^3[/tex]

Step-by-step explanation:

Given expression:

[tex](a+b)(a^2-ab+b^2)[/tex]

Using the Distributive Property Law, expand the brackets:

[tex]\implies a(a^2-ab+b^2)+b(a^2-ab+b^2)[/tex]

[tex]\implies a^3-a^2b+ab^2+a^2b-ab^2+b^3[/tex]

Group like terms:

[tex]\implies a^3+b^3-a^2b+a^2b+ab^2-ab^2[/tex]

As  -a²b+a²b=0  and  ab²-ab²=0  then:

[tex]\implies a^3+b^3[/tex]

The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.

As we know the sin function is represented by:

y = Asin(Bx) + C

Here,

A = The amplitude  =  3

C = The vertical shift  = 1

B - The period in terms of π

B = 2π/amplitude

B = 2π/4

B = π/2

The becomes:  

[tex]\rm y = 3sin(\dfrac{\pi }{2}x)+1[/tex]

Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.

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The standards that use 2.4 GHz are:

A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.

Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)

The standards that use 2.4 GHz are:

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The simplified radical for the given equation is 2√3.

The given equation is [tex]\frac{3}{x} =\frac{x}{4}[/tex].

Radical of any number is the same as the root of the number. The root can be a square root, cube root, or in general, it is nth root. Thus, any expression or number that uses a root is known as a radical.

To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as follows:

[tex]\frac{3}{x} =\frac{x}{4}[/tex]

⇒x×x=3×4

⇒x²=12

⇒x=±√12

From this, we can see that the solutions for the equation are the positive and negative roots of 12.

By simplifying the radical, we get √12 = √(2² x 3) = 2√3

Therefore, the simplified radical for the given equation is 2√3.

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The value of (f/g)(-1) is 0, value of (g . f) (2) is  -3√3, the value of (g - f)(-1)  is √15, and the value of (g + f) (2) is √3 - 3

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have two functions:

f(x) = 1 - x²

g(x) = √(11 - 4x)

f(-1) = 0

g(-1) = √15

f(2) = -3

g(2) = √3

(f/g)(-1) = f(-1)/g(-1) = 0/√15  = 0

(g . f) (2) = g(2)f(2) = (√3)(-3) = -3√3

(g - f)(-1) = g(-1) - f(-1) = √15 - 0 = √15

(g + f) (2) = g(2) + f(2) = √3 + (-3) = √3 - 3

Thus, the value of (f/g)(-1) is 0, value of (g . f) (2) is  -3√3, the value of (g - f)(-1)  is √15, and the value of (g + f) (2) is √3 - 3

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The amount of money earned by Kiki earned $614 in three days.

The amount paid by any company or industry to the employees after deductions of the several taxes is the salary.

Given that:

Per day salary of Kiki = $150

Commission = 8% of sales

Worth of sold items = $350+$500+$1200 = $2050

Amount of commission = 0.08 x 2050 = $164

Total amount earned in three days = Base salary per day * Number of days + Commission

Total amount earned = 150*3 + 164

Total amount earned = 450 + 164 = $614

Hence, Kiki earned $614 in three days.

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Answer: it is the median

Step-by-step explanation:

Answer:

it is the Mode,Median,and Mean.

Step-by-step explanation:

There are ALWAYS three measures of the “center"

Option third "The original amount of the mortgage" is correct because every month that passes, the amount left to pay decreases.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

As we know the line of best is represented by:

y = mx + c

Here m is the slope and c is the y-intercept.

A scatter plot is made to model the amount of money left to pay on a mortgage.

Every month that passes, the amount left to pay decreases.

Plug x = 0 to get the y-intercept

y = c

The y-intercept representing the original amount of the mortgage.

Thus, option third "The original amount of the mortgage" is correct because every month that passes, the amount left to pay decreases.

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Answer:

x=5 1/4 or 5.25

Step-by-step explanation:

11x2-4x=1

22-4x=1

22-1-4x=

21-4x=

21=4x

x=5 1/4 or 5.25

Answer:

Using the formula of quadratic equation, we find x = 0.534 and x = -0.17.

Step-by-step explanation:

It is a quadratic equation.

11x² - 4x - 1 = 0

Find the determinant of the quadratic equation.

D = b² - 4ac

D = 16 + 44

D = 60

One of the values of x will be

x = (-b+√D)/2a

x = (4+2√15)/22

x = 0.534

The second value will be

x = (-b-√D)/2a

x = (4-2√15)/22

x = -0.17

The two values of x, from the quadratic formula are 0.534 and -0.17.

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Answer:

  2

Step-by-step explanation:

Corresponding sides are proportional in these similar triangles.

__

  short side/long side = k/4 = 4/8

  k = 4(4/8) . . . . multiply by 4

  k = 2

_____

Additional comment

The lengths of the hypotenuses can be found the same way, or using the Pythagorean theorem. Using side ratios, we have ...

  l² = k(k+8) = 2(10) = 20 . . . . from MN/MO = ML/MN

  l = 2√5

  m² = 8(8+2) = 80 . . . . from LN/LO = LM/LN

  m = 4√5

The similarity statements are ...

  ΔLMN ~ ΔLNO ~ ΔNMO

Answer:

y = 25°

Step-by-step explanation:

115° and x are a linear pair and sum to 180° , so

x + 115° = 180° ( subtract 115° from both sides )

x = 65°

the sum of the 3 angles in the triangle = 180° , then

x + x + 2y = 180°

65° + 65° + 2y = 180°

130° + 2y = 180° ( subtract 150° from both sides )

2y = 50° ( divide both sides by 2 )

y = 25°

Step-by-step explanation:

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Answer: 63 and 17 differ by 46.

Step-by-step explanation:

63-17=46

Subtraction is what you do when trying to find the difference of something.

Answer:

Human coastal development has also helped jellyfish thrive. The structures and construction that we have placed in the water, such as piers, marinas, oil platforms, artificial reefs, refuse, rubble, aquaculture pens and structures, etc. provide an abundance of habitats for polyps to settle on.

Answer:

d) 5.88×10^9

Step-by-step explanation:

Answer:

d) 5.88 × 10⁻⁹

Explanation:

[tex]\rightarrow \sf \left(1.2\cdot 10^7\right)\left(4.9\cdot 10^2\right)[/tex]

[tex]\sf apply \ exponent \ rule : a^b + a^c = a^{b + c}[/tex]

[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7}\cdot \:10^{2}[/tex]

[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7+2}[/tex]

[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^9[/tex]

[tex]\rightarrow \sf 5.88 \cdot \:10^9[/tex]

Answer:

1) -
2) +

3) -
4) +

Step-by-step explanation:

сумма внутренних углов треугольника не должна превышать 180 градусов

Answer:

[tex]\sf \dfrac{11}{20} \quad or \quad 0.55[/tex]

Explanation:

[tex]\rightarrow \sf \dfrac{3}{4} - \dfrac{1}{5}[/tex]

make the denominators same by lcm

[tex]\rightarrow \sf \dfrac{5(3)}{20} - \dfrac{4(1)}{20}[/tex]

expand the following

[tex]\rightarrow \sf \dfrac{15}{20} - \dfrac{4}{20}[/tex]

Join the fractions together

[tex]\rightarrow \sf \dfrac{15-4}{20}[/tex]

Subtract the integers

[tex]\rightarrow \sf \dfrac{11}{20} \quad or \quad 0.55[/tex]

Answer:

11/20 or 0 whole 11/20 or 0.55

Step-by-step explanation:

Find the least common multiple (LCM) of 4 and 5 at first:

We can't do the LCM of 5 and 4,so just multiply them, 5*4 = 20

Now,

For 3/4 : divide 20 by 4,then multiply the result by 3.For 1/5 : divide 20 by 4, then multiply the result by 1. Simple!

Subtracting the numerators,

As a whole number:

As a decimal:

The distance between point A and point B is 371 ft if the Mason measures an angle of depression to the boat at point A to be 16°.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

A boat is heading towards a lighthouse, where Mason is watching from a vertical distance of 122 feet above the water. Mason measures an angle of depression to the boat at point A to be 16°.

We can draw the above situation as a form of a right-angle triangle.

From the figure, the distance between AB is x ft

From the right angle triangle DBC:

tan66 = 122/CB

CB = 54.31 ft

From the right angle triangle DAC

tan16 = 122/AC

AC = 425.46 ft

x = AC - CB

x = 425.46 - 54.31

x = 371.15 ft ≈ 371 ft

Thus, the distance between point A and point B is 371 ft if the Mason measures an angle of depression to the boat at point A to be 16°.

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Answer: D, $116

Step-by-step explanation:

A = 100(1 + 0.03)^5

A = 100(1.03)^5

A = 100(1.1593)

A = 115.92

Hope this helped!

Answer:

1/7 + r = 1/3

Step-by-step explanation:

Rocco takes 7 hours to do the job.
In 1 hour, Rocco does 1/7 of the job.

Rocco's rate is 1/7 job per hour.

It takes Giulia x hours to do the job.

In 1 hour, Giulia does 1/x of the job.

Let r = 1/x. Giulia's rate is r part of the job per hour.

Together, Rocco and Giulia take 3 hours to do the job.

In 1 hour, Rocco and Giulia do 1/3 of the job.

Together, their rate is 1/3 of the job per hour.

1/7 + r = 1/3

Peter's gross pay will be 1820.9.He put in 32 hours of work two weeks ago, and the tip money came to $1587.30.

Before taxes, benefits, and other payroll deductions are taken out of an employee's paycheck, that amount is known as their gross pay.

Given data;

Peter earn per hour = 7.30

Gratuities = 7 %

Given condition;

No of hour person work = 32

Gratitutes = 1587.30

Let the gross pay will be x;

x = gratuities + no of hoy\ur work × money earned per hour;

x =  1587.30 + 32 × 7.30

x = 1820.9

Hence,Peter's gross pay will be 1820.9.

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The function that represents how much you would pay is:

p(x) = (x - $5)*0.9

Let's say that the cost of the repair is x.

First, we apply the coupon, so we discount $5 for the cost.

x - $5.

Then we apply another discount of the 10%, this is written as:

(x - $5)*(1 - 10%/100%)

(x - $5)*(1 - 0.1)

(x - $5)*0.9

Then the function that represents how much you would pay is:

p(x) = (x - $5)*0.9

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Answer:

g

Step-by-step explanation:

for this function, we put in the value of "g" (because it is the cause of the function--it is the independent variable [it changes; and it doesn't rely on something else to change] )

so, because the part independently changing is the gas used, that is our input of this graph.

(you can imagine this to be a graph, which typically has the independent variable that we are directly changing--x--along the x-axis, which is where we would place g.)

hope this helps!!