Mr mensah starts a job with an annual salary of $6400 which increases by $240 every year. After working for 8years,Mr. Mensah is promoted to a new with an annual salary $9500 which increases by $360 every year. Calculate:
(A)Mr Mensah salary in the 15th year of service
(B)Mr Mensah's total earnings at the end of the 15th year
Answers
Given : Mr mensah starts a job with an annual salary of $6400 which increases by $240 every year. After working for 8years,Mr. Mensah is promoted to a new with an annual salary $9500 which increases by $360 every year.
To Find : (A)Mr Mensah salary in the 15th year of service
(B)Mr Mensah's total earnings at the end of the 15th year
Solution:
$6400 which increases by $240 every year
a = 6400
n = 8
d = 240
Sn= (n/2)(2a + (n-1)d)
= (8/2)( 2*6400 + 7*240)
= 4 ( 12800 + 1680 )
= 4( 14480)
= 57920 $
9th Year = 9500 take 9th as 1 st
d = 360
15th Year = 7th year n = 7
a = 9500
d = 360
n = 7
Mensah salary in the 15th year of service = 9500 + (7 - 1)360
= 9500 + 2160
= 11660 $
Salary from 9 to 15 Years = (7/2) ( 9500 + 11660)
=74060 $
57920 + 74060 = 131980 $
(A)Mr Mensah salary in the 15th year of service 11660 $
(B)Mr Mensah's total earnings at the end of the 15th year 131980 $
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