Vanessa can afford a $1405-per-month house loan payment. if she is being offered a 20-year house loan with an apr of 4.8%, compounded monthly, which of these expressions represents the value of the most money she can borrow?

To solve this we are going to use the present value formula: 
where 
is the present value
is the periodic payment
is the interest rate in decimal form
is the number of times the interest is compounded per year 
is the number of payments per year
is the number of years

We know for our problem that she can afford a $1405-per-month house loan payment, so  and . We also know that the loan is a 20-year house loan, so . To convert the interest rate to decimal form, we are going to divide the rate by 100% . Since the interest rate is compounded monthly, it is compounded 12 times per year; therefore, . Lets replace those values in our formula:





We can conclude that the expression that represents the value of the most money she can borrow is: . Evaluating the expression we can prove that she can borrow $216,501.09

Don’t know sorry about that