our friend purchases a $185,000 house. he is able to make a 15% down payment. the bank will give him a 30-year loan with a 3.5% apr.
how much money will he borrow for his mortgage?
$ (round to the nearest dollar)
what would his monthly payment be?
$ (round to the nearest cent)
how much interest will your friend pay over 30 years of his loan?
$ (round to the nearest cent)

Given,

The value of the house = $ 185,000,

Percentage of down payment = 15%,

(i) So, the borrowed amount = 185,000 - 15% of 185,000

(ii) Since, the monthly payment formula of a loan is,

Where,

PV = present value of the loan ( or borrowed amount )

r = rate per month,

n = number of months,

Here, PV = $ 157250,

APR = 3.5% = 0.035 ⇒ r = ( 1 year = 12 months )

Time = 30 years, ⇒ n = 360 months,

Hence, the monthly payment would be,

   ( by graphing calculator ),

(iii) Interest = Total amount paid - borrowed amount

= 706.122771579 × 360 - 157250

= 96954.1977684

≈ $ 96954. 20

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.