The sales price is $185,000.
The down payment is 5% of this, that is;
![(5)/(100)*185,000=\text{ \$9250}](https://img.qammunity.org/2023/formulas/mathematics/college/wqb0t3iv14dhv3qzdruaaysz8xkjjx0xr2.png)
The closing cost is 3% of the sales price, that is;
![(3)/(100)*185,000=\text{ \$5550}](https://img.qammunity.org/2023/formulas/mathematics/college/29sx8ur3l47vlrwtbn6y8peznepgcbo2hp.png)
The remaining cash left to pay is;
![5550+175750=\text{ \$181,300}](https://img.qammunity.org/2023/formulas/mathematics/college/tlqgyrng13ek5zejniprenr0umawb5ccua.png)
This, would be on interest for 30 years;
so, the total loan amount is;
![181,300+(181,300*5.4*30)/(100)=181,300+293,700=\text{ \$475,000}](https://img.qammunity.org/2023/formulas/mathematics/college/ealwqzw0qb8mfkx31vdcd7j3ykp623p9xr.png)
Therefore, the loan amount is $475,000