Michelle Duncan wants to know what price home she can afford. Her annual gross income is $$52,800.$ She owes $$700$ per month on other debts and expects her property taxes and homeowners insurance to cost $$220$ per month. She knows she can get an $7\mathrm{.}50\%,30-$year mortgage so her mortgage payment factor is $6\mathrm{.}99.$ She expects to make a $15\%$ down payment. What is Michelle's affordable home purchase price? $($Round your answer to the nearest dollar amount.$)$

Multiple Choice

$$126,567$

$$972$

$$972$

$$51,880$