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just olya [345]
1 year ago
14

To get to his parent's house, Isaiah would have to drive due north 9 kilometers. To get to his grandparents' house, he would hav

e to drive due east 12 kilometers. The straight-line distance between the parents' and grandparents' houses is __ kilometers.
Mathematics
1 answer:
DaniilM [7]1 year ago
6 0

let us represent the question with a diagram for better understanding.

Using Pythagoras theorem

\begin{gathered} c^2=12^2+9^2 \\ c^2=144+81 \\ c=\sqrt[\square]{225} \\ c=15\text{ km} \end{gathered}

The distance between the parents and grandparent house = 15 km

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Solve for the given time.
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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.

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<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 ...

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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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Hello: 
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