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3 years ago

8

Investors are buying a studio apartment for $320,000. Of this amount, they have a down payment of $80,000. Their down payment is

what percent of the purchase price?

1 answer:

Vesnalui [34]3 years ago

8 0

Answer:

25%

Step-by-step explanation:

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Find the domain of the function y = 3 tan(23x)

solmaris [256]

Answer:

$\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

In other words, the $x$ in $f(x) = 3\, \tan(23\, x)$ could be any real number as long as $x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)$ for all integer $k$ (including negative integers.)

Step-by-step explanation:

The tangent function $y = \tan(x)$ has a real value for real inputs $x$ as long as the input $x \ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

Hence, the domain of the original tangent function is $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

On the other hand, in the function $f(x) = 3\, \tan(23\, x)$ , the input to the tangent function is replaced with $(23\, x)$ .

The transformed tangent function $\tan(23\, x)$ would have a real value as long as its input $(23\, x)$ ensures that $23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

In other words, $\tan(23\, x)$ would have a real value as long as $x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right)$ .

Accordingly, the domain of $f(x) = 3\, \tan(23\, x)$ would be $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

4 0

3 years ago

What is the name the special hat worn during Mardi Gras?

PilotLPTM [1.2K]

Hello!!

I believe the correct answer to your question is capuchon. These are cone shaped ceremonial hats worn durning Mardi Gras.

Hope I helped with a detailed description. Have a nice night!
~Brooke❤️

3 0

3 years ago

2.4n + 1.2n - 0.12 = 7.08

Basile [38]

Answer:

n=2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Write the slope-intercept form of the equation of each line

navik [9.2K]

Answer: y= 3x-1

Step-by-step explanation:

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m =

y2-y1

x2-x1

m =

2--1

1-0

m =

3

1

m = 3

Now putting value of m in equation (i)

y = 3x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (0,-1) for calculating y-intercept:

y = mx + b

-1 = 3(0) + b

-1 = 0 + b

-1 = b

b = -1

8 0

2 years ago

Read 2 more answers

What is the equation of the line in slope intercept form form

Tamiku [17]

Those points you can see on the graph.
The first one refers to the x value and the second, to y value. If you notice, when you have x = 0, y = 3. When x = -5, y = 0.

When the line intercepts one of the axis, means the other coordinate is = 0.
3 is y intercept, it means the x value of that point is 0. The same happens to the x intercept - 5. It means the y value of that point is 0.

A ( -5 | 0 )
B ( 0 | 3 )

m = Delta y / Delta x.
Delta y is the variation over the x-axis. Delta x, the x axis.

Be safe!

5 0

3 years ago