Susie is paying $540.15 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?

Answer:

m∠B = 43°

b = 26.1

c = 38.3

Step-by-step explanation:

By applying triangle sum in the given triangle,

47° + 90° + m∠B = 180°

137° + m∠B = 180°

m∠B = 43°

By applying sine ratio to the angle measuring 47°.

sin(47°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{28}{c}[/tex]

c = [tex]\frac{28}{\text{sin}(47^{\circ})}[/tex]

c = 38.28

c ≈ 38.3

By applying cosine rule,

cos(47°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{b}{c}[/tex]

             = [tex]\frac{b}{38.3}[/tex]

b = 38.3[cos(47°)]

b = 26.1

Answer:

AC = 29

Step-by-step explanation:

We'll begin by calculating AD. This can be obtained as follow:

AB = 29

BD = 17

AD =?

AB² = BD² + AD²

29² = 17² + AD²

841 = 289 + AD²

Collect like terms

841 – 289 = AD²

552 = AD²

Take the square root of both side

AD = √552

Finally, we shall determine AC. This can be obtained as follow:

DC = BD = 17

AD = √552

AC =.?

AC² = DC² + AD²

AC² = 17² + (√552)²

AC² = 289 + 552

AC² = 841

Take the square root of both side

AC = √841

AC = 29

Answer:

do you have a pic of it but i think its 15.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

C

Step-by-step explanation:

We are given that

[tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.

We have to identify the parallel segments if [tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.

Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.

Therefore,

[tex]\angle DCB+\angle CDA=180^{\circ}[/tex]

Therefore, angle DCB and angle CDA are interior angles .

Because CA is a transversal line and sum of interior angles is 180 degrees.

When the sum of interior angles formed between two lines  and on same side of transversal line is 180  degrees. Then the lines are parallel.

Therefore, angle DCB and angle CDA are formed between line AD and BC.

Hence, AD is parallel to BC.

Option C is correct.

Answer:

c

Step-by-step explanation:

i had the same question

y approaches 5.

As x approaches infinity, -4^(-x) approaches 0.

0 + 5 = 5

Answer:

g = 1, 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

g² - 4g = -3

Step 2: Solve for g

Answer:

Graph:

Solution: (1, 1)

Check:

y = -3x +4

1 = -3 +4

1 = 1

y = 3x -2

1 = 3 -2

1 = 1

Answer:

0.72 km per hour

Step-by-step explanation:

First, find the speed in meters per hour. Create a proportion where x is this speed:

[tex]\frac{36}{3}[/tex] = [tex]\frac{x}{60}[/tex]

3x = 2160

x = 720

So, the speed is 720 meters per hour. Convert this to kilometers per hour by dividing 720 by 1000, since there are 1000 meters in a kilometer:

720/1000

= 0.72

So, the speed of the conveyer belt is 0.72 km per hour

Answer:

m=y2-y1/x2-x1 ⇒ m=-48+64/-15+21

m=16/6=8/3

y-y1/x-x1= m⇒ 8/3=y+64/x+21

8x+168=3y+192

    3y=8x-24

x-intercept

3(0)=8x-24

x=24/8 →x=3

x-intercept: (3,0)

OAmalOHopeO

Answer:

I know the answer...

Step-by-step explanation:

but i dont know the question (i also dont know how to comment so i have to do it as an answer)... thanks

Answer:

11/12 miles Lyon walk.

Step-by-step explanation:

3/4 -> 9/12

1/6 -> 2/12

9 + 2 = 11

The solution is :about  11/12 miles Lyon walk.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

Lyon walked 3/4 mile from school to the soccer field.

He then walked 1/6 mile home.

now, we have to find that,

About how many miles did Lyon walk

so, we need to add the both distance

i.e.  3/4 + 1/6

so, we have,

3/4 -> 9/12

1/6 -> 2/12

so, we get,

9 + 2 = 11

i.e. 3/4 + 1/6

= 9/12 + 2/12

=11/12

Hence, about  11/12 miles Lyon walk.

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the answer is in the picture

Answer:

C. 49, x-7

Step-by-step explanation:

(A+B)^2 = A^2 + 2AB + B^2

-14x = 2*A*B

where A=x

Therefore B=-7

and (x-7)^2=x^2-14x+49

Answer:

1372/3 π

that's the volume

Answer:

let:

4x-9=2x+3

4x-2x=3+9

2x=12

x=12/2

x=6 Ans

Answer:

[tex]2 {x}^{2} - 6x - 1 = 0 \\ a = 2 \: \: \: b = - 6 \: \: \: c = - 1 \\ \\ x = \frac{6\binom{ + }{ - } \ \sqrt{ {6}^{2} - 4(2)( - 1)} }{2 \times 2} \\ \\ x = \frac{6 \binom{ + }{ - } \sqrt{44} }{4} \\ x = \frac{6 + \sqrt{44} }{4} \\ \\ or x = \frac{6 - \sqrt{44} }{4} [/tex]

I hope that is useful for you :)

Answer:

This would not be 20

Step-by-step explanation:

This question can be thought as a Pythagoras question.

By subtracting 2cm from both the left side ZW, and the right side YX, you will have a right angled triangle WYX (or ZYX, since after subtracting 2cm Z and W are essentially the same point)

I have attached a crude drawing of what the triangle is looking like, we are looking for the unknown value marked with the ?

Pythagoras states that [tex]a^{2} +b^{2} =c^{2}[/tex]

We are given the lengths 2cm and 20cm, which can be thought of as a (or b) and c. Substitute in the values 2 and 20 and solve for the unknown

Answer: 289,952,278

Step-by-step explanation: Big brain

Answer:

2a times the sq root of 2a or 2a (2a)**1/2

Step-by-step explanation:

(8a**3)**1/2 =

((2**2 * 2) (a**2) (a))**1/2 then take out and squares

2a (2a)**1/2

or 2a times the sq root of 2a

Answer:

2(x - 3)^2 - 25.

Step-by-step explanation:

2x^2-12x-7

= 2(x^2 - 6x) - 7

= 2[(x - 3)^2 - 9] - 7

= 2(x - 3)^2 - 18 - 7

= 2(x - 3)^2 - 25.

Answer:

A, E, F

Step-by-step explanation:

From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:

PR = 1/2 PQ which is just 2 PR = PQ(E)

PR √3 = QR (A)

We can substitute in PR from the first equation to the second to get:

√3/2 PQ = QR(F)

You can use the same reasoning as I provided on your other question (URL 24277817).

"statistical" has 11 total characters, thus 11! total permutations.

• s, a, and i each appear 2 times

• t appears 3 times

Then the number of distinguishable permutations is

11! / (2! × 2! × 2! × 3!) = 831,600

Answer:

1st option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (9, - 1)

m = [tex]\frac{-1-7}{9-(-3)}[/tex] = [tex]\frac{-8}{9+3}[/tex] = [tex]\frac{-8}{12}[/tex] = - [tex]\frac{2}{3}[/tex] , then

y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (9, - 1 ) , then

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - [tex]\frac{2}{3}[/tex] x + 5 ← equation of line

9514 1404 393

Answer:

  C.  f^-1(x) = (x +4)^2; x  ≥ -4

Step-by-step explanation:

The range of the given function f(x) is -4 ≤ f(x). This will be the domain of the inverse function.

We find the inverse function by solving ...

  x = f(y)

  x = √y -4

  x +4 = √y

  (x +4)^2 = y

The inverse function is ...

  f^-1(x) = (x +4)^2 . . . for x ≥ -4

Answer:

Three times a number minus two times a number

3x-2x

=x

Answer:

6x - 2y > 8

First, solve the inequality (Isolate the y-variable & put it in function format):

[tex]6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4[/tex]

Second, graph the function y = 3x - 4 on the graph.

Third, shade in the area below the line(where y-values are smaller).

Step-by-step explanation:

reflection under

x-axis

hope this will help you

The line of reflection is given as  x-axis.

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

The coordinates of the triangle SKY before and after reflection are given as below,

S(-7, 2) → S'(-7, -2)

K(-1, 8) → K'(-1, -8)

Y(-2, 1) → Y'(-2, -1)

It is clear from the transformed coordinates that the x coordinates are the same but y-coordinate changes.

Thus, the reflection is about x-axis.

Hence, the line of reflection is x-axis.

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