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2 years ago

If you buy a computer directly from the manufacturer for $3,159 and agree to repay 48 equal installments

Mathematics

2 answers:

Sergeeva-Olga [200]2 years ago

8 0

Answer:

PMT=$65.8

Step-by-step explanation:

In context the problem,

Present value=PV=$3159

Number of periods=n=48

Now we using formula,

PMT=PV/n

PMT=3159/48

PMT=$65.8

viva [34]2 years ago

6 0

Answer: $68.81

Step-by-step explanation:

If I'm reading this correctly, All you need to do is divide 3,159 by 48 and get the answer of 68.81

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A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

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2 years ago

there are 7 boys and girls in a club. How many different ways to form a queue starting with a girl after each girl?

Soloha48 [4]

Answer:

7 girls can go in the first place, 6 in the second, etc.

7! ways is the number of ways to arrange the girls.

likewise the boys can be arranged in 7! ways

The total number of ways becomes 7! * 7!

7! * 7! = 25,401 600 ways

8 0

2 years ago

Which rule yields the dilation of the figure QRST centered at the origin?

denis-greek [22]

A) (x, y) → (3x, 3y)

<h2>Explanation:</h2>

When you dilate an object, you enlarge or reduce the size of it. To do this, we need a scale factor which allows us to make the object larger or smaller depending on the value of that factor. Let's call this factor as k, then it is true that:

If k > 1, the object will be larger than the original one.
If k < 1, the object will be smaller than the original one.

If the dilation is performed centered at the origin, then corresponding points of the original and dilated figures will be connected by straight lines, being the center of dilation the point where all the lines meet.

The only option that meets this requirement is:

A) (x, y) → (3x, 3y)

Whose scale factor is k = 3 making the dilated figure larger than the original one.

<h2>Learn more:</h2>

Dilation: brainly.com/question/10946046

#LearnWithBrainly

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2 years ago

A 14-foot ladder makes a 62 degree angle with the ground. To the nearest foot, how far up the house does the ladder reach?

Studentka2010 [4]

Hello,
Please, see the attached file.
Thanks.

6 0

2 years ago

Write the standard form of the equation of the circle with the given characteristics.

SOVA2 [1]

<h2><u>Circle Equations</u></h2>

<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

<u>(h, k)</u> is the center; and
<u>r</u> is the radius

Substitute the values of the center and radius to the standard form.

<u>Given:</u>

<u>(0, 0)</u> - <u>center</u>

<u>2</u> - <u>radius</u>

(x - h)² + (y - k)² = 2²
(x - 0)² + (y - 0)² = 4
x² + y² = 4

<u>Answer:</u>

The equation of the circle is <u>x² + y² = 4</u>.

Wxndy~~

7 0

1 year ago