You have decided to purchase your first home. The selling price is $$300,000$ and you have $$50,000$ of savings to use for the transaction. Your mortgage broker informs you the bank is willing to issue you a $30-$year mortgage with monthly payments and compounding at a fixed annual interest rate of $5\%.$ What will be the monthly payment associated with this loan?

Need help with the calculations written out$--$ I keep coming up with a different answer than the key I was given and I can't figure out what I$\text{'}$m doing wrong $($I$\text{'}$m coming up with $$1,348\mathrm{.}17,$ key says $$894\mathrm{.}33)$