Kylie can afford a $1310-per-month house loan payment. If she is being
offered a 25-year house loan with an APR of 8.4%, compounded monthly,
which of these expressions represents the most money she can borrow?​

Respuesta :

Answer:

The amount which she borrow as house loan is $ 48514.56

Step-by-step explanation:

Given as :

The house loan per month afford by Kylie = $1310

The period of loan = 25 Years

The annual rate compounded monthly = 8.4%

Principal  = $ P

∵ The per month loan afford amount = $1310

So, The amount afford in 25 years = $1310 × 25 × 12

Or, The amount afford in 25 years = $393,000

Now, from compounded method :

Amount = Principal × [tex](1+\frac{Rate}{12\times 100})^{12\times Time}[/tex]

Or, $393,000 = $ P × [tex](1+\frac{8.4}{12\times 100})^{12\times 25}[/tex]

Or, $393,000 = $ P × [tex](1.007)^{300}[/tex]

Or, $393,000 = $ P × [tex]\frac{393,000}{8.10066}[/tex]

∴   P = $ 48514.56

Hence The amount which she borrow as house loan is $ 48514.56  Answer

Answer:

The is ($1310)((1+0.007)^300-1)/(0.007)(1+0.007)^300

Step-by-step explanation: