20 POINTSSSS

A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making

Naily [24]

Using it's formula, it is found that the monthly payment should be of $688.49 in order to pay off the debt in 15 years.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

For this problem, the parameters are given as follows:

A = 90000, r = 0.045, n = 15 x 12 = 180.

Hence:

r/12 = 0.045/12 = 0.00375.

Then we solve for A to find the monthly payment, as follows.

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$A = 90000(0.00375)\frac{(1.00375)^{180}}{(1.00375)^{180} - 1}$

A = $688.49

More can be learned about the monthly payment formula at brainly.com/question/22846480

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4 0

2 years ago

Create an Ordered pair located on the X axis using -6,-2,0,3,5

Karo-lina-s [1.5K]

Answer:(-6,0)

Step-by-step explanation:

8 0

2 years ago

What is the measure of the missing angle in the triangle below?

nirvana33 [79]

Answer:

41 degrees

Step-by-step explanation:

According to Angle Sum Property, the sum of the internal angles of a triangle is equal to 180 degrees.

Therefore,

52 + 87 + ? = 180

139 + ? = 180

? = 180 - 139

? = 41 degrees

8 0

2 years ago

A light post, shown below, is set in concrete and supported with a wire

nadya68 [22]

Answer:

Step-by-step explanation:

Twelve

You are correct, but I have a small comment.

As far as I can see, you have both 12 and 13 correct. The short way to do 12 is just to divide 72 into 360

360 / 72 = 5

The more general formula is 360 / central angle = # of sides.

What the question means is that if your start with a polygon (it is a regular polygon by the way), and rotate it around its center, how many sides does it have in order that when you go through 72 degrees, the figure looks like it did when you started.

If the polygon is completely unmarked, then the idea is that it will look like you haven't done anything to the polygon even though you have rotated it 72 degrees.

The way you did 13 is exactly how it should be done.

7 0

4 years ago

The map shows the route for a race.You are at X, 6000 ft from the first checkpoint C.The second checkpoint D is located at the m

Alex

Answer:

Distance between the two check point (C and D) is 4920 ft.

Step-by-step explanation:

From the question given above, we obtained the following information:

X is 6000 ft from C (1st check point)

D (2nd check point) is the midpoint point between C and Y ( the end of the race)

Total race = 3 miles

1 mile = 5280 ft

Next, we shall express the total race in feet (ft).

This is illustrated below:

1 mile = 5280 ft

Therefore,

3 miles = 3 × 5280 = 15840 ft

Next, we shall determine the distance between the 1st check point (C) and the end of the race (Y)

This can be obtained as follow:

Total distance = 15840 ft

Distance between X and C = 6000 ft

Distance between C and Y =?

Distance between C and Y = (Total distance) – (Distance between X and C)

Distance between C and Y = 15840 – 6000

Distance between C and Y = 9840 ft

Finally, we shall determine the distance between the two check point (C and D) as follow:

Since D is midpoint between C and Y, therefore, we shall we shall divide the distance between C and Y by 2 in order to obtain the distance between the two check point (C and D).

This is illustrated below:

Distance between C and Y = 9840 ft

Distance between the two check point (C and D) = 9840/2 = 4920 ft

Therefore, the distance between the two check point (C and D) is 4920 ft

5 0

3 years ago