Smith and Jones each open up new bank accounts at time $0.$ Smith deposits $90$ into his bank account, and Jones deposits $50$ into his. Each account earns the same annual effective interest rate.

The amount of interest earned in Smith's account during the $8$th year is equal to X$.$ The amount of interest earned in Jones' account during the $14$th year is also equal to X$.$

Calculate X$.$

Round your answer to two decimal places.