On 31st August 2018, Musk Traders purchased a machine on credit for a cost price of R402 500 (including VAt at 15 percent). Machinery is depreciated over six years according to the straight line basis and there is no residual value on this machine as it is highly specialised. Musk Traders has a 30 June year-end.
Calculate the depreciation and accumulated depreciation for 2019 and 2020

Answer: This is a Linear function because there is a common difference of 2.

Step-by-step explanation:

Answer:

Answer A) ;

✅This is a linear function because there is a common difference of 2.

Step-by-step explanation:

Because she listed the number of customers served per hour in the following table: Hour (x) Number of Customers f(x) 1 3 2 5 3 7

The solutions to the trigonometric equation [tex]cos(\frac{\pi}{4} - x) = \frac{\sqrt{2} }{2} \cdot sin(x)[/tex] are;

{π/2, 3·π/2}

A trigonometric equation is an equation involving trigonometric functions with the input of the function, represented by a variable. specified equation is presented as follows;

[tex]cos(\frac{\pi}{4} - x) = \frac{\sqrt{2} }{2} \cdot sin(x)[/tex]

The subtraction formula for the trigonometric ratios of cosine can be presented as follows;

cos(A - B) = cos(A)·cos(B) + sin(A)·sin(B)

Therefore;

cos(π/4 - x) = cos(π/4)·cos(x) + sin(π/4)·sin(x)

sin(π/4) = √2/2

Therefore;

cos(π/4 - x) = cos(π/4)·cos(x) + (√2/2)·sin(x)

cos(π/4 - x) = (√2/2)·sin(x)

cos(π/4)·cos(x) + (√2/2)·sin(x) = (√2/2)·sin(x)

cos(π/4)·cos(x) = (√2/2)·sin(x) - (√2/2)·sin(x) = 0

cos(π/4)·cos(x) = 0

cos(x) = 0/cos(π/4) = 0

x = arccos(0) = π/2 + n·π

Where n is an integer, therefore the values of the angle between 0, and 2·π are;

x = π/2 + π × 0 = π/2 and x = π/2 + 1 × π = 3·π/2

x = π/2 and x = 3·π/2

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Answer:

x=1.2

Step-by-step explanation: take -5x and devide it by 2x. then - 3 from -1. -3 devided by -2.5 then it equalls x=1.2  

Answer:

7

Step-by-step explanation:

When finding the x intercept you replace the y with 0 leaving only x=7

Answer:

7

Step-by-step explanation:

You find it the same way you find the y - intercept in y=mx+b.

Answer:

a. Numerical (discrete).

b. Categorical.

c. Numerical (continuous).

d. Numerical (continuous).

e. Categorical.

Step-by-step explanation:

In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.

A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.

Basically, numerical data are classified into two (2) main categories and these are;

1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.

a. Number of students in a class of 35 who turn in a term paper before the due date: this is a numerical data and it is discrete in nature because the number of possible values are finite or countable.

b. Gender of the next baby born at a particular hospital: this is a categorical data because it contains a nominal variable (gender).

c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop: this is a numerical data and it is continuous in nature because the number of possible values are infinite or uncountable.  

d. Thickness of the gelatin coating of a vitamin E capsule: this is a numerical data and it is continuous in nature because the number of possible values are infinite or uncountable.

e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major: this is a categorical data because it is used to categorize an information (birth order).

Answer:

5.099

Step-by-step explanation:

6oz=$780.00

If it costs $520.00 for 4oz you first divide both numbers by 4 which should leave you with 1oz=$130.00 if you then multiply both sides by 6 you end up with your answer 6oz=$780.00

Answer:

around like 700,000

Step-by-step explanation:

Answer:

x intercept is 6

y intercept is 3

Step-by-step explanation:

Answer:

b(side length) = 15 centimeters

Step-by-step explanation:

Given an assumed regular rectangular prism which has a height of 18, and volume of 4050 cubic centimeters.

We are also given the formula b = (v/18)^1/2 which is said to find the side length of the rectangular prism. Therefore, it is implied that b must be the side length. Since we know everything except the side length we can substitute the volume since we are already given the height in the formula derived from the problem.

b = (4050/18)^1/2

b = (225)^1/2

b = 15

___________

We should also know that the volume of a rectangular prism is defined as V = l × w × h, with l as the length, w as the width, and h as the height, given that b is the side length which is multiplied by the width and height to get 4050, the base must be a square. Since 4050 = 15 × w × 18

4050 = 270 × w

4050/270 = w

15 = w

w = 15.

A square base is when the length and width are equal. Therefore this value has to be true.

As 15 × 15 × 18 = 4050.

Answer:

It is in the thousands place

Answer:

12 2/3

Step-by-step explanation:

I'm too lazy to give an explanation. Hope this helped though.

Answer:

56

Step-by-step explanation:

14 cucumbers multiplied by 4 is 56 tomatoes

The number of tomato plants is 56.

Important information:

Let [tex]x[/tex] be the number of tomato plants. Then,

[tex]\dfrac{x}{14}=\dfrac{4}{1}[/tex]

On cross multiplication, we get

[tex]x\times 1=4\times 14[/tex]

[tex]x=56[/tex]

Therefore, the number of tomato plants is 56.

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Answer:

okay if nathan has 380 wins in 2 days that would mean debbie has 190 wins per day

Step-by-step explanation:

380 divide 2=190

9514 1404 393

Answer:

  10

Step-by-step explanation:

Corresponding angles of congruent triangles are congruent.

  angle B = angle E

  3v +4 = 8v -6

  10 = 5v

  v = 2

Then the measure of angle B is

  3v +4 = 3(2) +4 = 10 . . . measure of ∠B

Answer:

10

Step-by-step explanation:

I hope this helps and good luck

Answer:

1.18 i think

Step-by-step explanation:

Answer:

5 = 5    True

1 = 20   False

Step-by-step explanation:

Answer:

(6,3)

Step-by-step explanation:

If you reflect (-4,3) over the y-axis it is going to become (4,3).

Then, if you move it 2 units to the right, it becomes (6,3)

The coordinates of the point  (-4,3) after reflection and translation will be ( 6, 3 ).

The process of changing the location of the image on the coordinate system will be known as the translation.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the point  (-4,3) is the image of A after a reflection using the y-axis, then a translation of two units to the right.

Reflection of point ( -4 , 3 ) ⇒ ( 4 , 3 )

A translation of two units to the right ⇒ ( 4 + 2, 3 ) ⇒ ( 6, 3 )

Therefore, the coordinates of the point  (-4,3) after reflection and translation will be ( 6, 3 ).

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Answer: 5.1

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

8c - y

8( 3) - (- 4)

24 + 4

28

3x=71-2

3x=69

x=69/3

x=23

Answer:

what the heck

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

If you can buy one for $4

20/4 = 5

you can buy 5 cans

Answer:

He can buy 5 jars of sun-dried tomatoes

Step-by-step explanation:

all you have to do is divide 4 and 20 so you get 5!

Answer:

30.769230769231% or 4/13

Step-by-step explanation:

The fraction of people didn’t pass is 4/ 13.

We have,

Total number of people taking the test: 13

Number of people who passed: 9

So, the number of people who didn't pass

Number of people who didn't pass = Total number of people - Number of people who passed

Number of people who didn't pass = 13 - 9

Number of people who didn't pass = 4

So, the fraction of people didn’t pass

= 4/ 13.

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Answer:

Step-by-step explanation:

Huh?

Answer:

59

Step-by-step explanation:

Answer:

I believe it would be → and →. These are considered rays (V and X) and they connect at W to form an angle.

Answer:

-113

Step-by-step explanation:

2a^4+5b^3 --> 2(4)^4+5(-5)^3= -113

not 100% on this since its hard to understand the original equation (I'm assuming that the numbers after the variables are exponents)