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nika2105 [10]
3 years ago
13

Suppose that you would like to buy a home priced at $200,000. You plan to make a payment of 10% of the purchase price and pay 1.

2% of the purchase price into an
escrow account annually.
a. Compute the total monthly payment and the total interest paid over the life of the loan for a 30-year mortgage at 4.8% annual interest.
b. Compute the total monthly payment and the total interest paid over the life of the loan for a 20-year mortgage at 4.8% annual interest.

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0

Answer:

  see below

Step-by-step explanation:

When you must do the same tedious calculation several times with different numbers, it is convenient to let a spreadsheet program do it for you. Here, the spreadsheet function PMT( ) computes the payment amount for the given interest rate, number of payments, and loan amount.

The loan amount is 90% of the purchase price.

The total interest over the life of the loan is the sum of the payments less the original loan amount.

The total monthly payment is the sum of the loan payment and the monthly escrow amount, which is 1/12 of the annual escrow amount.

_____

Here, we computed the total of payments using the unrounded "exact" value of each payment. We take this to be a better approximation of the total amount repaid, since the last payment always has an adjustment for any over- or under-payment due to rounding.

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On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° .
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The correct answer for this question is this one:

<span>On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° .

What is AC ?

3 cm
<u>6 cm</u>
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side AB has a length of 6cm. Side AB = Side AC. So the length of Side AC is also 6 cm.

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Which systems of equations intersect at point A in this graph?
abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

Step-by-step explanation:

Given the point

  • A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Arrange equation variable for elimination

\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}

so

y+3x=-5

-

\underline{y-4x=9}

7x=-14

so the system of equations becomes

\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}

Solve 7x = -14 for x

7x=-14

Divide both sides by 7

\frac{7x}{7}=\frac{-14}{7}

Simplify

x = -2

For y - 4x = 9 plug in x = 2

y-4\left(-2\right)=9

y+4\cdot \:2=9

y+8=9

Subtract 8 from both sides

y+8-8=9-8

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

3 0
3 years ago
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