You deposit $400 Into a bank account. The account pays 2.75% annual interest compounded semi-annually. Find the balance after 5 years

Step-by-step explanation:

First thing you need to do is Slope - intercept form of the line going through point A and B.

Slope-intercept form: y = mx + b (m = slope, b = y-intercept)

To get slope: [tex]\frac{y2 - y1}{x2-x1}[/tex]

Lets set point A as point1 (x1, y1) and point B as point2(x2, y2).

x1 = -4

x2 = 8

y1 = 6

y2 = 3

If you plug these numbers in the slope equations:

[tex]\frac{3 - 6}{8 - 4}[/tex] = [tex]\frac{-3}{4}[/tex]

m = [tex]\frac{-3}{4}[/tex]

So a parallel line is a line that has a different b value but the same slope value.

To get b  for the parallel line : we need to substitute the x and y for a given point (0,-2).

which will make -2 = 0([tex]\frac{-3}{4}[/tex] ) + b

now we solve for b:

-2 = 0 +b

b = -2

So the whole Slope-intercept form of the parallel line is: y = [tex]\frac{-3}{4}[/tex] x -2

Answer:

-6 + -5 = -11

Step-by-step explanation:

Answer:

15688

Step-by-step explanation:

Step-by-step explanation:

x+6/x+2=x+3/x-5 x<>2 and x<>5

(x+6)(x-5)=(x+3)(x+2)

x2-5x+6x-30=x2+2x+3x+6

-5x+6x-30=2x+3x+6

x-30=5x+6

x-5x=6+30

-4x=36

x=-9

Note* x2=x in the power of 2

Answer:

Step-by-step explanation:

I believe the point is 2:5

Hope this helps

Answer:

P=130

Step-by-step explanation:

Answer:

t=-10+2h

Step-by-step explanation:

Answer:

Step-by-step explanation:

                                             [tex](x-32)^2=56\\\\x-32=\pm\sqrt{56}\\\\x=32\pm\sqrt{4\cdot14}\\\\ x=32\pm2\sqrt{14}[/tex]

Answer:

Using the right angles, we can establish AAS making the triangles congruent. Or using the Pythagorean Theorem, we can find the missing side, and then use SSS, SAS, or ASA to make the triangles congruent.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Candle is lit every 10 minutes :

Number of candles lit in 55 minutes:

Starting from 0 minute ; Numbe rod candles lit on 55 minutes = 6

1st candle burns out after 40 minutes

Second burns out after 50 minutes

Third will burn out after 60 minutes

Hence Number of candles still burning :

Number of candles lit - Number of candle burnt out

6 - 2 = 4 candles

Answer:

120000

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

[tex]\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\[/tex]

[tex]Since\ \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0[/tex]

Answer:

It is linear since it is a straight line.

Answer:

2880 tiles

Step-by-step explanation:

A rectangular path has dimensions 60 m and 3 m.

Area of a rectangular path = length × breadth = 60 × 3 = 180 [tex]m^2[/tex]

Use [tex]1\,m^2=10000\,cm^2[/tex]

So,

Area of a rectangular path = 180(10000) = 18,00,000 [tex]cm^2[/tex]

Side of a square tile = 25 cm

Area of a square tile = side × side = 25(25) = 625 [tex]cm^2[/tex]

Number of square tiles = Area of a rectangular path ÷ Area of a square tile

= [tex]\frac{1800000}{625} =2880[/tex] tiles

Answer:

Step-by-step explanation:

(x+5)² = 36

x+ 5 = ±√36 = ±6

x = -5 ±6 = 1, -11

Answer:

c) 4 terms

Step-by-step explanation:

3x is 1 term ,2y is 1 term,z is 1 term,6 is also 1 term

so in all there are 4 terms

Answer:

y

Step-by-step explanation:

2y-y=y

Answer: 2y-y can be written as y because 2y means you have 2 y’s and 2y’s minus 1 y is just 1 y

Step-by-step explanation:

Answer:

1. 2x² - 8x - 7

2. x³+ x + 30

Step-by-step explanation:

[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]

[tex]2 {x}^{2} - 8x - 7[/tex]

2x² has no other like terms to add or substract with so it stays as is.

(-9x) + x = -8

(-2) - 5 = -7

or

(-2) - (-5) = 3

Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.

//

[tex] {x}^{3} + 27 + x + 3[/tex]

[tex] {x}^{3} + x + 30[/tex]

x³ stays as is and so does x.

27 + 3 = 30

Answer:

Step-by-step explanation:

B/4=3.2

B=12.8

Answer:

20m

Step-by-step explanation:

The rooms are 4m x 5m.

To find the area, multiply length by width: 4*5=20

The Area of one room is 20 m².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Given:

First, Area of one room= lw

                                      = 4 x 5

                                      = 20 m²

Now, Area of four room = 4 x 20

                                      = 80 m²

Thus, area of one room is 20 m².

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ2

Answer:

Congruence transformations

transformations that are performed on an object that can create a congruent object

[tex]T(x,y)=(x+3,y-2)[/tex]

Hope this helps.

Answer:

this is the answer of the required questions

thank you

please Mark this as brainlist answer

Answer: 6 units

Step-by-step explanation:

I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

Answer:

AB = 38.64 m

Step-by-step explanation:

[tex] \cos \: 75 \degree = \frac{10}{x} \\ \\ x = \frac{10}{ \cos \: 75 \degree } \\ \\ x = 38.637033052 \\ \\ x \approx \: 38.64[/tex]

AB = 38.64 m

Answer: It's the second option

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

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