Formula Flashcards

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1
Q

Divisor

A

Can be divided by that number
Divisors would be 1 and that number itself
Eg. 4 -> 1, 2 ,4
15 -> 1, 3 ,5, 15

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2
Q

Combination

A

Out of 10 possibility of 2
10C2 = 10!/2!8! = 10*9/2

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3
Q

Total Percent Increase

A

Total Increase/Original Total Production

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4
Q

Percentage Increase

A

Multiplier for r percent increase r+1

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5
Q

Probability of a thing happening twice

A

Example probability of getting six twice in dice
1/6 *2

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6
Q

In Percentage, x % greater and x % lesser how is it calculated

A

Greater will add to the original value, for eg 80% greater means than 100 means, 100+(0.8100) = 180
30% lesser than 180 means
180
(30-100/100) = 180*0.7 = 126

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7
Q

Calculate the number of numbers between m to n inclusive

A

n-m+1

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8
Q

If a fraction is undefined

A

The denominator will be zero

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9
Q

Percentage Increase by P%

A

1+P% as decimal
Eg 20% increase from 800
1+0.20 = 1.20

800*1.20 = 960

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10
Q

Percentage Decrease by P%

A

1-P% as decimal
Eg 20% decrease from 800
1-0.20 = 0.80

800*0.80 = 640

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11
Q

Percentage of pf increase/ decrease

A

m=new/old
m=1+P for increase
m=1-P for decrease
Where P is the increase or decrease percentage

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12
Q

Percentage increase p and then decrease q from there in x money

A

Then Final = x(1+p)(1-q)
Example 100 money 30% inc and 30% dec
Final = 1001.30.7

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13
Q

Simple Interest Formula

A

In Simple interest, the interest will be only based on the principal. No matter whatever the interest accumulates.
If for 1000 in account, 5% interest,
Interest = 50
1st year 1000+50 = 1050
2nd year 1050+50=1100
3rd year 1100+50=1150

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14
Q

Compound interest

A

Interest on interest
Always greater than SI
A = P(r)^y

Where A = Final Amount
P - Principal
r - rate of interest in multiplier format (7% - 1.07)
r = 1+I/100 = 1+7/100
y - number of years

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15
Q

Compound Interest for smaller period in a year

A

Quarterly n=4
Half Yearly n=6
Everyday n=365

Now if the interest is I%
It will become I/n for each period
Thus if total interest is 5% it will become 1.25% each
r=(1+I/100n)

Amount A = P(r)^yn

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16
Q

Ratio of x:y what is the ratio of x: total

A

ratio of total
x:x+y

17
Q

Compound of two ratio

A

x:y and y:z
Make y same by using factorization