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Stock
Explanation: A share is a share in a company. For example, if you own 50% of the shares, you own 50%
the company and therefore decides over half of it.
Dividend: If the company has a profit, it can be paid out to the shareholders. It is distributed accordingly share in the company. For example, if you have 50% of the shares, you get 50% of the profit.
Par value: Value that the share was given by the company it is issued by when they began as
limited company.
Price: Percentage indicating the value of the share in relation to the face value.
Area Name of figure Formula Triangle H * G / 2 Parallelogram H^ *^ G Trapeze H * ( a + b ) / 2 Circle (^) Pi * R Glossary:
- H = The height
- G = Baseline
- R = Radius
- a = Largest parallel side in trapezium
- b = Smallest parallel side in trapezoid Evidence ? Binary numbers Example of a binary number: 1 1 0 0 1 1 0 1 1 = 411 Binary numbers are numbers that can have 2 values ( & 1) From right to left:
- 1st place number 1
- 2nd place number 2
- 3rd place number 4
- 4th place number 8
- 5th place number 16
- 6th place number 32 After that, each place to the left is multiplied by 2, so there are now 64, 128, 256, 512, 1024, etc. Addition with binary numbers: Subtraction with binary numbers: Multiplication with binary numbers: Division with binary numbers: Fraction calculation
Circumference: D * Pi Circumscribed circle: Is a circle that passes through the three corners of a triangle The center is found by drawing the mid-normals to the sides of the triangle Inscribed circle: A circle that lies inside a triangle and touches each side at a point, with the circumference.
Center angle:
Angle starts at the center and ends at the periphery Peripheral angle: Angle starts on the periphery and ends on the periphery
Diagram
Table:
A chart where the value is represented by cells.
Bar & Stick Chart:
Sticks are lines and bars are thick lines ^^ The
value is represented by the length of the line
Pie chart:
The circle is divided into areas that represent the
size of the value in relation to the total value the Exponents An exponent is the number in which you raise another number. For example, the exponent of x4 is the number 4. An exponent works by taking the number to be raised and multiplying it by itself the number of times the exponent is.
Addition with exponents. You can't just add numbers like 103 and 104 together. There you have to
work out how big the different numbers are (here 1,000 and 10,000) and add them together.
Subtraction with exponents: Here the same rules apply as for addition. Multiplication with exponents: If, for example, you have 103 and 104 to be multiplied by each other, you do simply adding the exponents together. So this would give 107. However, the number raised must be the same for both exponents.
Division with exponents. The same rules apply here as for multiplication, you just subtract the
exponents from each other instead.
Squares
Rectangle:
Area: Circumference: Length Width Length * 2 + Width * 2
Function:
X 1 2 3 4 Y = X + 1 2 3 4 5 See also equations. Average (See Statistics) The average of a series of measurements is found by adding the measurements together and dividing by the number of measurements. Geometry Geometry is calculation with shapes and figures. Everything that can be measured and calculated from shapes and figures is called geometry. (See Squares, Circles, Triangles and Polygons, Area, Volume and Trigometry) Velocity When you want to convert from m/s to km/h, you have to multiply the number you have in m/s by 3.6 and you get it in km/h.
Hexidecimal
Example of hexidecimal number 0x4FA3 = 20387
- 0x indicates that it is a hexidecimal number
- Hexidecimal numbers have 16 values ( 0, , 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E & F ) From right to left
- 1st place number 1
- 2nd place number 16
- 3rd place number 256
- 4th place number 4096 Then multiply by 16 to get, 65536, 1048576, etc. Addition with hexidecimal numbers: Subtraction with hexidecimal numbers:
Multiplication with hexidecimal numbers Division with hexidecimal numbers: Frequency Number of times a certain observation is made in a count or measurement. Height The height in a figure is the length that starts from a right angle of the base line to the vertex, e.g. in a triangle. Imaginary numbers An imaginary number is a number that when multiplied by itself gives a minus. These numbers don't actually exist (at least we haven't found them yet) Isometry Isometry is displacement / movement of a figure in a coordinate system. Cones Volume: 1/3 * height * pi * r Cone truncated: Volume: 1/3 * height * pi * (R2 + r2 + R + r) Coordinate system
Draw as follows:
X is put first in how to write a
coordinate, e.g. 1,2 means 1 out and
5 ( 7X – 3Y ) = 5 ( 11 ) 35X – 15Y = 55
- ||----------- ^ ^ ^ ^ 7 ( 5X – 4Y ) = 7 ( 6 ) 35X – 28Y = 42
- 1 ( 35X – 28Y ) = -1 ( 42 )
- 35X + 28Y = - 35X – 15Y = 55
- 35X + 28Y = - 13Y = 13 Y = 1 7X – 3 = 11 7X = 14 X = 2 X = 2 Y = 1
- Graphical solution Y = -2X + 9
- ||-------- ^ X = 12 – 2Y ^ 2Y = 12 – X ^ Y = 6 – X/ 2 Either you can use herring legs or, use Y = A + BX Then inserted into the coordinate system
Quadratic equations:
A quadratic equation is an equation where the unknown is squared. There are always either two, one or no
solution to them. To be able to solve the equation, it must be reduced so that it stands in decreasing power:
X2 + 2X - 3 = 0 It must always be reduced so that 0 is written on one side. After this, the numbers are put into this equation:
X = - b (+,-) KVROD (b 2 – 4ac) 2a The equation above would therefore become: X = - 1 (+,-) KVROD (2 2 – 41-3) 2 X =-1 (+,-) KROD (4-(-12)) 2 X =-1 (+,-) KVROD (16) 2 X =-1 (+, -) 16 2
X1 = 7.
X2= - 8. Linear functions When a function results in a straight line in a coordinate system. For example: Y = 2 + X The line starts in plus two on the Y axis and every time Y is increased by one, X is increased by one The basic formula is Y= a + bX Where a is plus and minus values and b is multiplication and division. Density The weight a mass has in relation to its size. However, the units of measurement must match: For cm3, grams are used. For dm3 or liters, kilograms are used. For m3, you use tons. So the density of water = 1. For example, one cubic centimeter of water weighs one gram, one liter weighs one kg and one cubic meter weighs one ton. Here are a few other examples of bulk density:
- Aluminum
- Lead
- Gold
- Iron
- Copper
- Mercury
- Platinum
- Silver
- Uranium = = = = = = = = = 2. 11. 19. 7. 8. 13. 21. 10. 19.
One ton = 1,000 kg Glossary:
K = Kilo (thousand)
D = Deci
H = hecto
C = Centi Da = Deka M = Mili Numbers written in gray = Rarely used units of measurement. Scale ratio For example: 1:
This means that the drawing is a hundred times smaller than reality
Inverse proportionality That is, a function where a number is divided by X Fx: Y = a / X Parentheses
Parentheses can be used to force some calculations to be performed before others. Plus brackets can be
removed without further ado, with minus brackets all numbers within the brackets must have their signs
reversed.
For example: 3 + ( 3 – 2 )island 3 + 3
- 2 Eg: 3 – ( 3 – 2 )island 3 – 3 + 2 Pi Pi is obtained by dividing the circumference of a circle by its diameter. Normally, you stick to Pi for: The most accurate one we usually use:
Polygon
Polygons are shapes with multiple edges. Poly means many and gon means edge or side. 1 edge 2 edge 3 edge 4 edge 5 edge 6 edge 7 edge 8 edge mono (think monologue) di (think dialogue) three tetra penta (think Pentagon) hexa hepta octa Here are some of the names of defined polygon
Percentage
Something you have one hundredth of.
Pro means per and cent means hundred (there is also pro mile (per thousand))
If you need a percentage of a number: Eg: Find 10% of 30
100 = 3
If you need to find out how big a percentage one number is of another Eg:
How many percent is 30 out of 200
200 = 15% Volume This is how you calculate the volume of: cube: Prism:
Length * width * height
Base area * height
Cylinder: Pyramid:
Pi * radius2 * height 1/3 *
height * base area
1/3 * height * ( G + g + (KVROD G * g ) Cone: Cone truncated: Ball:
1/3 * height * Pi * radius
1/3 * height * Pi * ( R2 + r2 + R * r )
4/3 * Pi * radius
When calculating irregular shapes such as stone, you can possibly submerge the body in a measuring cup
with water. By seeing how much the water rises, you can calculate how much the body displaces.
statistics Statistics is the collection of measurements or data that can then be inserted into coordinate systems and other things to compare them. There are different expressions that you must know:
Average: The average is found by adding all the measurements together and dividing the total
number by the number of observations added together.
Median. The median is found by listing all the observations by size and then finding the middle one.
In this number series, the median is 5, since the middle of the 17 observations is 5.
1 1 1 2 3 4 4 5 5 5 5 6 7 7 9 9 9 Frequency: The frequency is the number of times a certain number appears in a measurement. The frequency of the number 1 in the above series of numbers is "3" since the number "1" has been measured three times.
Trigonometry
(Trigonometry) Sine, movement up the Y axis in a unit circle Cosine, movement out of the X axis in a unit circle
(See attached Sine & Cosine table, for conversion to and from degrees)
Counting tree
A counting tree splits for each possibility
Inequalities Inequalities are almost the same as equations, however the “=” sign is replaced by > and < which mean greater than and less than. The smallest number is on the side where the tip is. Inequalities are used, for example, in a situation like this:
Jens has 9 apples and Lene has 2. How many apples must Lene buy to have more than Jens? The answer is
simple. More than 7 of course. It is written as > 7.
You calculate it by saying: 2 + x > 9, where the unknown number of apples to be bought is "x".
When working with inequalities in the same way as with equations, these rules apply: You
must:
1 – Add with the same number on both sides of the inequality sign. 2 –
Subtract with the same number on both sides of the inequality sign. 3 –
Multiply by the same POSITIVE number on both sides.
4 – Divide by the same POSITIVE number on both sides.
5 – Multiply by the same negative number on both sides IF you reverse the inequality sign. 6 – Divide
by the same negative number on both sides IF you reverse the inequality sign.
Apart from these rules, inequalities are solved in the same way as equations, with the difference that there is not a fixed number that fits into the inequality, but usually numbers from a certain place and up.
Economy
Interest rate: The interest rate R of K kroner at p % pa id days is: R = K / 100 * p / D * d R: Interest K: Amount, capital p: percentage per year d: number of interest days D: number of interest days in an interest year Growth: Kn = K(1 + x)n K: initial value p: growth rate per period x = p / 100 n: number of growth periods
Kn: final value
Foreign currency: The exchange rate is the price for 100 of the foreign currency paid in Danish kroner. You find the value of a quantity of foreign currency by doing something like this:
Quantity * rate / 100
If the rate of $ is, for example, 635, then $255 is worth: 255 * 635 / 100 = DKK 1,619.25. Shares and bonds: Nominal value: 50,000 kroner = the amount stated on the share/bond. Price: 85 = the price as a percentage of the face value.
Course value: 85% of DKK 50,000. Market value: the price of the unit.
