You just got a job offer. The salary the first year would be $100$k$,$ the second year it would be $30\%$ more, and the $3$rd year it would increase again by another $20\%.$ Thereafter, you would receive a $4\%$ percent raise annually indefinitely. The interest rate is currently $5\%.$ Your other job offer is offering you a flat salary of $$150$K a year, and they have indicated you will never get a raise. Assuming all else equal about the jobs, which salary is better? Solve for each, show all calculations, and show the comparison.