MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

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, [tex]a=\$40000[/tex]Increase in pay each year after first year, [tex]d=$2000[/tex]The total pay after n years can be determined using the [tex]n^{th}[/tex] 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:[tex]T_{n}=a+(n-1)d\\T_{5}=40000+(5-1)2000\\T_{5}=40000+4\times 2000\\T_{5}=40000+8000=\$48000[/tex]Company B offer:Pay for first year, [tex]a=\$30000[/tex]Increase in pay each year after first year, [tex]d=$5000[/tex]The total pay after n years can be determined using the [tex]n^{th}[/tex] 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:[tex]T_{n}=a+(n-1)d\\T_{5}=30000+(5-1)5000\\T_{5}=30000+4\times 5000\\T_{5}=30000+20000=\$50000[/tex]Therefore, The potential salary of Mr. Jackson in 5 years in company A is $ 48000 and in company B is $ 50000.