Question

Kathy wants to buy a condominium selling for $96,000. The taxes on the property are $1300 per year, and homeowners' insurance is $336 per year. Kathy's gross monthly income is $4000. She haher van. The bank is requiring 20% down and is charging a 9.5% interest rate with no points. Her bank will approve a loan that has a total monthly mortgage payment of principal, interest, property tthan or equal to 28% of her adjusted monthly income. Complete parts a) through h) below.a) Determine the required down payment.The required down payment is $b) Determine 28% of her adjusted monthly income.28% of her adjusted monthly income is $(Round to the nearest cent as needed.)c) Determine the monthly payments of principal and interest for a 25-year loan.The monthly payment of principal and interest for a 25-year loan is $(Round to the nearest cent as needed.)d) Determine her monthly payment, including homeowners' insurance and taxes.Her total monthly payment, including homeowners' insurance and taxes is $(Round to the nearest cent needed.) Does Kathy qualify for the loan?0 YesO No

Answer 1

a) the cost of the house is 96000 and the down paidment is the 20% so we can use a rule of 3 to solve it so:

`\begin{gathered} 96000\to100 \\ x\to20 \end{gathered}`

so the equation will be:

`\begin{gathered} x=(96000\cdot20)/(100) \\ x=19200 \end{gathered}`

b) her income is $4000 so the 28% will be:

`\begin{gathered} 4000\to100 \\ x\to28 \end{gathered}`

so the equation will be:

`\begin{gathered} x=(4000\cdot28)/(100) \\ x=1120 \end{gathered}`

c) the equation that models a loan is:

`C=(P\cdot(0.095\cdot(1+0.095)^n))/((1+0.095)^(25)-1)`

So we replace the princeiple and find monthly paidment.

`\begin{gathered} C=(76800\cdot(0.095\cdot(1.095)^(25))/(8.67) \\ C=(76800\cdot0.92)/(8.67) \\ C=(70540.30)/(8.67) \\ C=8136.14 \\ C\approx8136 \end{gathered}`

d)The total monthly paidment will be:

`\begin{gathered} T=8136+(1300)/(12)+(336)/(12) \\ T=8136+108.33+28 \\ T=8272.33 \\ T\approx8272 \end{gathered}`

SOo the answer is NO she can't afort to buy this house