Joe just completed his engineering degree and started to work for an engineering firm. Joe wants to retire early after 30 years working. He plans to invest $5,000 at the end of every year for a 30-year career. If Joe needs $3,954,750 in savings at retirement, what interest rate must the investment earn?A. 10%B. 12.16%C. 18%D. 20%

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