Question $1$

A tank contains $1378kg$ of compound X$.$ Each year, a fixed amount of $8kg$ of the compound leaks out of the tank. In addition, compound $x$ also degrades to compound $Y,$ at a constant rate of $0\mathrm{.}026$ mass fraction per year $($do nto confuse mass fraction with percent$).$ After $6$ years, how many kilograms of compound $x$ remain in the tank? $($Hint: Notice the similarity in the physics of this problem compared to the examlpe problem in the video lecture$).$