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3 years ago

3/14 k+(-1)+(-4)-2/7 k

Mathematics

1 answer:

cupoosta [38]3 years ago

6 0

Answer:

Explanation:

(3/14)k - 1 - 4 - (2/7)k = 0
(3/14)k - (4/14)k - 5 = 0
(-1/14)k = 5
-k = 5 x 14
k = -70

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igomit [66]

Answer:

8 square units

Step-by-step explanation:

Area of a rectangle= lenght x width

locating the four points on a Cartesian plane

lenght = BC= AD = (0,4)->(4,4) = 4units

width = AB = CD = (0,2)-> (0,4) = 2units

Area of rectangle = 4units x 2units = 8 square units

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3 years ago

Marissa has a photograph that measures 2 in. by 4 in. She has mounted the picture on a mat so that there is a border that measur

DanielleElmas [232]

Step-by-step explanation:

The initial image of the photo is 2 in by 4 in. The mat is 4 in by 6 in.

The new image is dilated by a scale of 2. So we double the dimensions. The new photo is 4 in by 8 in. The new mat is 8 in by 12 in.

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3 years ago

You just purchased two coins at a price of $670 each. Because one of the coins is more collectible, you believe that its value w

DerKrebs [107]

Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

$A=P(1+\frac{r}{100})^{n}$

Where A = Future value

P = Present value

r = rate of interest

n = time in years

Now we put the values

$A=670(1+\frac{7.1}{100})^{15}$

$A=670(1+0.071)^{15}$

$A=670(1.071)^{15}$

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

$A=670(1+\frac{6.5}{100})^{15}$

$A=670(1+0.6.5)^{15}$

$A=670(1.065)^{15}$

A = 670 × 2.571841

A = $1723.13

The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

8 0

2 years ago

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft

Yuri [45]

Considering the definition of right rectangular prism and its volume, the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³× 0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

Learn more with this similar problems:

<u>brainly.com/question/13962136</u>

<u>brainly.com/question/7171617</u>

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2 years ago

Find the difference: 99.45 – 2.25 = ?

Reika [66]