How to convert a number in degrees (°) to minutes (’)?
multiply the decimal part of the number by 60
How to convert number in minutes (’) to degrees (°)?
divide the minutes part of the angle by 60
How do you calculate the length of an arc?
S= πrθ/180
- How to find the distance between two points with the same longitude where they are Both S or N
111.2 ×(x+y)
- How to find the distance between two points with the same longitude where they are Different S and N
111.2 ×(x-y)
How to find the distance between two points with the same latitude?
111.2×AD ×COS(SL)
- AD = Angular distance
- SL = Similar latitude
Arithmetic Sequence Formula
tn+1=tn+d
- Sequence Formula
- t1 = first term in sequence
- tn+1 = unknown variable
- tn = term last found
- d = common difference
Arithmetic Formula to find the nth term
tn=t1+(n-1)d
- t1 = first term in sequence
- tn+1 = unknown variable
- tn = term last found
- d = common difference
Simple interest Formula
A=p+nd
- A = amount
- P = Principal
- n = Number of time
The rule for the nth term of a geometric sequence
which gives us a rule for finding thenth term of a geometric sequence in terms of the first term,t1=a, and the common ratio,r.
tn = arn−1
The rule for the Sequence of a geometric sequence
whereris the constant ratio.
tn+1 = r × tn
1 = a
what is the Flat Rate Depreciation Formula
- LetPbe the initial value of the asset
- LetA be the value of the asset aftern years
- Let ibe the percentage depreciation rate.
- Thend=i×Pis the amount of depreciation per year and is the common difference.
- The valueAof the asset afternyears is:
A = P − nd
what is the Unit cost Depreciation Formula
- LetPbe the initial value of the asset
- LetAbe the value of the asset afternuses
- Letdbe the depreciation per use
- The value of the asset afternuses is
A = P − nd
Percentage increase and decrease
- If the percentageincreasefor geometric growth isi%, then:
r=1+i%. - If the percentagedecreasefor geometric decay isi%, then:
r = 1 − i%.
Calculation of compound interest loans and investments
- LetAbe the value of a compound interest loan or investment afternyears
- LetPbe the amount borrowed or invested (principal).
- Letibe the annual interest rate of the loan or investment.
A = P × rn where r = 1 + i
Calculation of reducing-balance depreciation
- LetAbe the value of the asset afternyears
- LetPbe the initial cost of the asset.
- Letibe the annual interest rate of the loan or investment.
A = P × rn where r = 1 − i%
time zones & time difference
- 15° longitude = 1 hour time difference
- 1° longitude = 4 minutes time difference
