Shelim starts his new job on a salary of \(\pounds 14000\). He will receive a rise of \(\pounds 1500\) a year for each full year that he works, so that he will have a salary of \(\pounds 15500\) in year 2 , a salary of \(\pounds 17000\) in year 3 and so on. When Shelim’s salary reaches \(\pounds 26000\), he will receive no more rises. His salary will remain at \(\pounds 26000\).
Show that Shelim will have a salary of \(\pounds 26000\) in year 9 .
Find the total amount that Shelim will earn in his job in the first 9 years.
Anna starts her new job at the same time as Shelim on a salary of \(\pounds A\). She receives a rise of \(\pounds 1000\) a year for each full year that she works, so that she has a salary of \(\pounds ( A + 1000 )\) in year \(2 , \pounds ( A + 2000 )\) in year 3 and so on. The maximum salary for her job, which is reached in year 10 , is also \(\pounds 26000\).
Find the difference in the total amount earned by Shelim and Anna in the first 10 years.