You just received a programming job offer from a local start-up company. It is a guaranteed one-year position (52 weeks) but it has a peculiar wage offer. They have been having a difficult time with employees leaving before they complete the year, so they have decided to pay less at the beginning and more at the end. The company pays its employees every week. For the first pay-period, you will be paid one cent. For the second pay-period, you will be paid 2 cents; 4 cents for week 3; 8 cents for week 4 after that and the pay keeps doubling every week until the end of the contract. At the end of the first pay period you will have been paid 1 cent; at the end of the second pay period, 3 cents (2 + 1 cents) total has been paid; at the end of the next pay period, the total will be 7 cents (4 + 3 + 1) and so on. Write a program that implements two recursive methods: a) given the week number, the first recursive method will report the amount to be paid for that week (i.e. week 10 [end of 10th pay period] pays $5.12); and b) the second method will report the total amount paid to date given the week number (i.e. by the end of the sixteenth week [16th pay period], $655.35 has been paid in total).

programing language java