Question

Question #3bad8

Answer 1

10 years

Explanation:

for company A:

24000, 27200, 30400......

Arithmetic progression with `d=3200`

`a_n=24000+(n-1)*3200`
`a_n=20800+3200n`

For company B:

32000, 34400, 36800......

Arithmetic progression with `d=2400`

`a_n=32000+(n-1)*2400`
`a_n=29600+2400n`

Equate the two `a_n`s

`a_n=a_n`

`20800+3200n=29600+2400n`

`3200n-2400n=29600-20800`

`800n=8800`
`n=8800/800=11`

`n=11`

the salary will be equal on the 11th term which is 10 years from the starting salary

God bless..... I hope the explanation is useful.