$.)$ Kevin is leaving one job and starting a new job. He has $$80,000$ in the retirement account with his old job that will be rolled into the new retirement account with his new job. In addition to this large deposit, Kevin plans on depositing $$240$ at the end of each month for the next $30$ years into his retirement account. Assuming this retirement account earns $4\mathrm{.}2\%$ per year compounded monthly, how much will he have in his account in $30$ years? $($Hint: you need to use both the compound interest formula and the annuity formula to answer this.$)$