5. Jose has received job offers from two different companies. Bother offers have the same starting salary of $42,000 for the first year. After the first year, Company A will increase Jose's salary by $4,000 each year while Company B will increase his salary each year by 9% of the previous year's salary. a) For each company, write a recursive formula for calculating Jose's salary in the nth year. Identify the initial value a, and the common difference d or common ratio r for each. Company A (add 4000 each year) Company B (multiply by 1.09 each year) b) Which company do you think Jose should choose? Explain your reasoning.​