Step 1 :Calculate 28% of the Adeeva's adjusted monthly income by multiplying their gross monthly income by 0.28: \(0.28 \times 7800 = 2184\)
Step 2 :The 28% of the Adeeva's adjusted monthly income is \(\boxed{2184}\) dollars
Step 3 :Calculate the monthly mortgage payment for the principal and interest using the formula: \(M = P[r(1+r)^n]/[(1+r)^n – 1]\) where M is the monthly payment, P is the principal loan amount, r is the monthly interest rate, and n is the number of payments
Step 4 :Substitute the given values into the formula: \(M = 205000[0.00583(1+0.00583)^{180}]/[(1+0.00583)^{180} – 1]\)
Step 5 :The monthly mortgage payment for the principal and interest is approximately \(\boxed{1836.51}\) dollars
Step 6 :Calculate the Adeeva's total monthly mortgage payment by adding the monthly taxes and insurance to the monthly mortgage payment for the principal and interest: \(1836.51 + 380 = 2216.51\)
Step 7 :The Adeeva's total monthly mortgage payment, including principal, interest, taxes, and homeowners' insurance, is \(\boxed{2216.51}\) dollars