Shaylea, age 22, just started working full-time and plans to deposit $5,000 annually into an IRA earning 8 percent interest compounded annually. How much would she have in 20 years, 30 years, and 40 years? If she changed her investment period and instead invested $417 monthly and the investment also changed to monthly compounding, how much would she have after the same three time periods? Comment on the differences over time.

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1