A company is offering a job with a salary of $30,000 for the first year. Each year after that, the salary increases by 5%. Assume that this raise continues every year.
(a) Determine the salary for the first three years.
(b) Find the common ratio, r, and the general term, an.
(c) Use the general term an from part (b) to determine the salary in the 10th year and the 40th year.
(d) Find the total amount earned at this job over a 40-year career.