the salary scale of a certain grade of government officer starts at #57000 per annum.if increase by annual rise of 5400 to ne a maximum of #132000
Ap.I guess?
Common differenc is 5400
No
132000 = 57000 + (n-1)5400
75000 = 5400n - 5400
80400 = 5400n
n = 80400/5400 = 14.9 years or appr 15 years.
I will assume you are looking at how long it would take to reach the maximum
of 132000
so a = 57000
d = 5400
n = ??
term(n) = a + (n-1)d
132000 = 57000 + (n-1)5400
solve for n, you did not state to what accuracy you want that. Nearest year ?
How much money would a person earn in the next 10th year
And how much would he earn altogether in the first 10years
The salary scale of a certain grade of a government officer start at #57000 per annum. It increases by annual rise of #5400 to a maximum of #132600. How many years does it take to reach the maximum salary
10years.......but thanks
Well, it seems like the government is really giving their officers a rise... literally! From #57,000 to #132,000, that's quite the climb. I must say, these officers must have some impressive negotiation skills. Maybe they should give seminars on "How to ask for a raise like a boss!"
To find the number of terms in the salary scale, we can use the formula for an arithmetic sequence:
๐ = (๐ก๐ โ ๐กโ) / ๐ + 1
Where ๐ is the number of terms, ๐ก๐ is the maximum salary, ๐กโ is the starting salary, and ๐ is the common difference.
Let's plug in the values we know:
๐ = (132000 โ 57000) / 5400 + 1
๐ = 75000 / 5400 + 1
๐ โ 13.89
Since the number of terms must be a whole number, we round up to the nearest whole number:
๐ = 14
Therefore, there are 14 different salary levels in this grade of government officer.