Chapter 4 & 5

Question 1

How to convert a number in degrees (°) to minutes (’)?

Answer 1

multiply the decimal part of the number by 60

Question 2

How to convert number in minutes (’) to degrees (°)?

Answer 2

divide the minutes part of the angle by 60

Question 3

How do you calculate the length of an arc?

Answer 3

S= πrθ/180

Question 4

• How to find the distance between two points with the same longitude where they are Both S or N

Answer 4

111.2 ×(x+y)

Question 5

• How to find the distance between two points with the same longitude where they are Different S and N

Answer 5

111.2 ×(x-y)

Question 6

How to find the distance between two points with the same latitude?

Answer 6

111.2×AD ×COS(SL)

• AD = Angular distance
• SL = Similar latitude

Question 7

Arithmetic Sequence Formula

Answer 7

tn+1=tn+d

• Sequence Formula
• t1 = first term in sequence
• tn+1 = unknown variable
• tn = term last found
• d = common difference

Question 8

Arithmetic Formula to find the nth term

Answer 8

tn=t1+(n-1)d
- t1 = first term in sequence
- tn+1 = unknown variable
- tn = term last found
- d = common difference

Question 9

Simple interest Formula

Answer 9

A=p+nd

• A = amount
• P = Principal
• n = Number of time

Question 10

The rule for the nth term of a geometric sequence

Answer 10

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

Question 11

The rule for the Sequence of a geometric sequence

Answer 11

whereris the constant ratio.

tn+1 = r × tn
1 = a

Question 12

what is the Flat Rate Depreciation Formula

Answer 12

• 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

Question 13

what is the Unit cost Depreciation Formula

Answer 13

• 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

Question 14

Percentage increase and decrease

Answer 14

• If the percentageincreasefor geometric growth isi%, then:
  r=1+i%.
• If the percentagedecreasefor geometric decay isi%, then:
  r = 1 − i%.

Question 15

Calculation of compound interest loans and investments

Answer 15

• 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

Question 16

Calculation of reducing-balance depreciation

Answer 16

• 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%

Question 17

time zones & time difference

Answer 17

• 15° longitude = 1 hour time difference
• 1° longitude = 4 minutes time difference