Question

Mr.Jackson has received two salary offers at to different companies. Company A pays $40000 per year with an increase of $2000 each year after the first year. Company B pays $30000 per year with an increase of $5000 each year after the first year. What is the answer about Mr.Jackson potential salary in 5 years at each company?

Answer 1

Answer:

The potential salary of Mr. Jackson in 5 years in company A is $ 48000 and in company B is $ 50000.

Step-by-step explanation:

Company A offer:

Pay for first year, $a=\ 40000$

Increase in pay each year after first year, $d= 2000$

The total pay after n years can be determined using the $n^{th}$ term of the arithmetic progression as the increase in pay is an arithmetic sequence with first term as 40000 and common difference as 2000.

So, Total pay after 5 years  is given as:

$T_{n}=a+(n-1)d\\T_{5}=40000+(5-1)2000\\T_{5}=40000+4\times 2000\\T_{5}=40000+8000=\ 48000$

Company B offer:

Pay for first year, $a=\ 30000$

Increase in pay each year after first year, $d= 5000$

The total pay after n years can be determined  using the $n^{th}$ term of the arithmetic progression as the increase in pay is an arithmetic sequence with first term as 30000 and common difference as 5000.

So, Total pay after 5 years  is given as:

$T_{n}=a+(n-1)d\\T_{5}=30000+(5-1)5000\\T_{5}=30000+4\times 5000\\T_{5}=30000+20000=\ 50000$

Therefore,

The potential salary of Mr. Jackson in 5 years in company A is $ 48000 and in company B is $ 50000.