Solve for the given time.

Mathematics

1 answer:

AlekseyPX3 years ago

3 0

9514 1404 393

Answer:

$319,525.64

Step-by-step explanation:

It appears you want the interest to accumulate for 15 years before you pay anything on the loan. The value of $180,000 appreciating at 3.9% annually will be ...

$180,000·(1 +0.039)^15 = $319,525.64

If your lender allows you to wait 15 years before making any payment, your payment will be $319,525.64.

<em>Additional comment</em>

Home loans are usually paid with monthly payments computed from the formula ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment on principal P, r is the annual interest rate, t is the number of years.

For your $180,000 loan, the monthly payment is ...

A = $180,000·(0.039/12)/(1 -(1 +0.039/12)^(-12·15)) ≈ $1322.44

The total of those payments is ...

180·$1322.44 = $238,039.20

If you pay $1322.44 monthly on the loan, your total payment is $238,039.20.

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