You are buying your first condo for $$250,000$ and you will make a $$50,000$ down payment. You have arranged to finance the remainder with a $30-$year, monthly payment, amortized mortgage at a $2\mathrm{.}25\%$ nominal

$$ a$.$ $$838\mathrm{.}52$

$$ b$.$ $$850\mathrm{.}48$

$$ c$.$ $$764\mathrm{.}49$

$$ d$.$ $$517\mathrm{.}3$

$$ e$.$ $$1040\mathrm{.}1$