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3 years ago

5

A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. Find the rate of growth each mon

th.

1 answer:

Svetllana [295]3 years ago

3 0

1200,000(1+.1)=(the answer) sorry I don't have a calculator with me.

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Question in the photo

yaroslaw [1]

Using translation concepts, the equation of g(x) is given as follows:

$g(x) = -\frac{35}{x + 10} - 1$

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

$f(x) = \frac{1}{x}$

For a horizontal compression by a factor of 1/5, we have to find f(1/5x), hence:

$g(x) = \frac{1}{\frac{1}{5}}x = \frac{5}{x}$

For a vertical stretch by a factor of 7, we have to multiply by 7, hence:

$g(x) = \frac{35}{x}$

For a reflection in the y-axis, we have to find g(-x), hence:

$g(x) = \frac{35}{-x} = -\frac{35}{x}$

For a translation of 10 units left, we have to find g(x + 10), hence:

$g(x) = -\frac{35}{x + 10}$

For a translation of 1 unit down, we have to subtract one, hence:

$g(x) = -\frac{35}{x + 10} - 1$

More can be learned about translation concepts at brainly.com/question/28174785

#SPJ1

8 0

1 year ago

Abiodun and taiwo share 735 naira between them so that abiodun get 95naira more than taiwo find how much money each gets

DerKrebs [107]

Answer:

Abiodun gets - <u>415 naira</u>

Taiwo gets -<u> 320 naira</u>

Step-by-step explanation:

Let us consider x and y as Abiodun and Taiwo,

Therefore , acccording to the question , equation formed will be -

$x+y=735$ naira ------ 1

and

$x=y+95$

$x-y=95$ ------2

From equation 1 and 2, we get

$2x=830$

$x=\frac{830}{2}$

$x=415$ naira (that is Abiodun share)

now , Calculating Taiwo share from equation 1

$x+y=735\\415+y=735$

$y=735-415$

y = 320 naira (that is Taiwo share )

Therefore , Share of Abiodun = 415 naira

Share of Taiwo = 320 naira

5 0

2 years ago

The cloth top of the gazebo in Mr. Chang’s backyard has ripped from weathering. He needs to know the area of the cloth so he can

antoniya [11.8K]

Answer:

<u>The correct answer is A. 60 square feet.</u>

Step-by-step explanation:

1. Let's review the data provided to us for solving the question:

The gazebo in Mr. Chang's backyard, according to the figure, is a square pyramid because its base is a square of 6 feet as length of its sides.

Length of the sides of the base = 6 feet

Slant length = 5 feet

Height = 4 feet

2. How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?

Area of a square pyramid = Base area + 1/2 Perimeter * Slant length

Replacing with the real values, we have:

Area of a square pyramid = 6 * 6 + 1/2 (6 + 6 + 6 + 6) * 5

Area of a square pyramid = 36 + 1/2 (24) * 5

Area of a square pyramid = 36 + 12 * 5

Area of a square pyramid = 36 + 60

Area of a square pyramid = 96 feet ²

3. But remember than Mr. Chang doesn't need to replace the cloth at the bottom of the gazebo.

So we need to subtract the area of the base to the area of the square pyramid:

Area of the square pyramid - area of the base

Area of the base = 6 * 6 = 36 feet ²

96 feet ² - 36 feet ² = 60 feet ²

<u>The correct answer is A. 60 square feet.</u>

7 0

3 years ago

Read 2 more answers

Select the equation of the line parallel to 2x + 6y = -4 the equation and that passes through the point (3, -3) .

vagabundo [1.1K]

Answer:

$\displaystyle x + 3y = -6$

Step-by-step explanation:

Plugging these coordinates into this equation will give you this:

3 - 9 = −6 ☑

* This is a genuine statement.

I am joyous to assist you anytime.

4 0

3 years ago

What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.

antiseptic1488 [7]

Check the picture below. So the parabola looks more or less like so.

let's recall that the vertex is half-way between the focus point and the directrix, at "p" units away from both.

Let's notice that the focus point is below the directrix, that means the parabola is vertical, namely the squared variable is the "x", and it also means that it's opening downwards as you see in the picture, namely that "p" is negative, in this case "p" is 1 unit, and thus is -1.

$\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{we'll use this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-2\\ k=5\\ p=-1 \end{cases}\implies 4(-1)(y-5)=[x-(-2)]^2\implies -4(y-5)=(x+2)^2 \\\\\\ y-5=-\cfrac{1}{4}(x+2)^2\implies y=-\cfrac{1}{4}(x+2)^2+5$

6 0

3 years ago