The Johnsons have accumulated a nest egg of $$40,000$ that they intend to use as a down payment toward the purchase of a new house. Because their present gross income has placed them in a relatively high tax bracket, they have decided to invest a minimum of $$2100/$month in monthly payments $($to take advantage of the tax deduction$)$ toward the purchase of their house. However, because of other financial obligations, their monthly payments should not exceed $$2400.$ If the Johnsons decide to secure a $15-$year mortgage, what is the price range of houses that they should consider when the local mortgage rate for this type of loan is $3\%/$year compounded monthly? $($Round your answers to the nearest cent.$)$

least expensive $

$879744\mathrm{.}81$

Incorrect: Your answer is incorrect.

most expensive $

$999744\mathrm{.}81$

Incorrect: Your answer is incorrect.The Johnsons have accumulated a nest egg of $$40,000$ that they intend to use as a down payment toward the purchase of

a new house. Because their present gross income has placed them in a relatively high tax bracket, they have decided to

invest a minimum of $$\frac{2100}{?}$ month in monthly payments $($to take advantage of the tax deduction$)$ toward the purchase of

their house. However, because of other financial obligations, their monthly payments should not exceed $$2400.$ If the

Johnsons decide to secure a $15-$year mortgage, what is the price range of houses that they should consider when the local

mortgage rate for this type of loan is $3\%/$year compounded monthly? $($Round your answers to the nearest cent.$)$