Please help!!


Mary plans to buy a house which costs $319,000 by placing 20% down and financing the balance with monthly payments at an interest rate of 6% compounded monthly for 30 years. Find her monthly payment.

Respuesta :

Answer: the monthly payment is $1530.1

Step-by-step explanation:

The cost of the house is $319,000.

The down payment made is 20%. This means that the amount paid as down payment is

20/100 × 319000 = 63800

The balance to be paid would be

319000 - 63800 = $255200

We would apply the periodic interest rate formula which is expressed as

P = a/{[(1+r)^n]-1}/[r(1+r)^n]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $255200

r = 0.06/12 = 0.005

n = 12 × 30 = 360

Therefore,

P = 255200/{6.0226 -1}/[0.005(6.0226)]

P = 255200/166.79

P = 1530.1