A family wants to purchase a house that costs ​$110,000. They plan to take out a ​$100,000 mortgage on the house and put ​$10,000 as a down payment. The bank informs them that with a​ 15-year mortgage their monthly payment would be ​$761.52 and with a​ 30-year mortgage their monthly payment would be ​$574.01. Determine the amount they would save on the cost of the house if they selected the​ 15-year mortgage rather than the​ 30-year mortgage.

Complex numbers are written in the form of a+ib and the simplified form of the expression is 58 which is a real number.

Complex numbers are square root of negative numbers. For instance;

√-1 = i

Given the equation

(2 + √-25)(4 - √-100)

From the given expression

√-25 = 5i

√-100 = 10i

Substitute

(2+5i)(4-10i)

Expand

2(4) -2(10i) + 5(4i) - 5i(10i)

8 - 20i + 20i - 50i²

8 - 50(-1)

8 + 50

58

Hence the simplified form of the expression is 58

Learn more on complex number here: https://brainly.com/question/3761525

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Answer:

2

Step-by-step explanation:

It rose 8 and ran 4 and slope is rise over run.

8/4 = 2

Step-by-step explanation:

slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.

y=mx+b

the y-intercept is always be so graphing is now easy

put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical

now to make a equation for a point you put it in y=mx+b.

please mark me brainliest if this helped

Answer:

that person above me is correct give me brainiest to troll them tho lol

Step-by-step explanation:

Answer:

The conversation factor is 16.387604

Answer: A) JL ≈ HF

SSS means you need to know all three sides are congruent

Answer:

there is no solutions.

I hope this helps!

:D

Answer: The answer is a rectangular pyramid.

Step-by-step explanation: The shape has a square base, with 5 sides. No traingular prism has a sqaure base.

Answer:

Step-by-step explanation:

(-8 + 2)/2 = --6/2 = -3

(-6 + -10)/2 = -16/2= -8

(-3, -8)

Answer:

The 95% confidence  interval is [tex](150\pm 8.8)[/tex].

Step-by-step explanation:

The information provided is:

[tex]\bar x=150\\\sigma = 20\\n=20[/tex]

The critical value for 95% confidence level is:

[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96[/tex]

Compute the margin of error as follows:

[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

          [tex]=1.96\times\frac{20}{\sqrt{20}}\\\\=1.96\times 4.47214\\\\=8.7653944\\\\\approx 8.8[/tex]

Then the 95% confidence  interval is:

[tex]CI=\bar x\pm MOE[/tex]

     [tex]=150\pm 8.8[/tex]

Thus, the 95% confidence  interval is [tex](150\pm 8.8)[/tex].

Answer:

the answer is C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is on the third out of the fourth line, hence 3/4.

hope this helped, pls mark brainliest :D

Answer:

c

Step-by-step explanation:

Answer:

multiply the length by the width, and then multiply that by the depth

Answer:

25u2−36v2

Step-by-step explanation:

Maybe I am right search the answer to check me

Answer:

(5u + 6v)(5u - 6v)

Step-by-step explanation:

25u^2 - 36v^2

25u^2 is the square of 5u.

36v^2 is the square of 6v.

This is the difference of two squares.

The difference of two squares follows this pattern.

a^2 - b^2 = (a + b)(a - b)

25u^2 - 36v^2 = (5u + 6v)(5u - 6v)

Answer:

79.4

Step-by-step explanation:

Answer:

You know a calculator is a thing, right?

Anyways though, the answer is 79.4.

Step-by-step explanation:

Answer: No

Step-by-step explanation:

25.0657 is a rational number.

Explanation: Rational numbers are whole integers but can also be decimals that repeat or terminate. Decimals with no form of a repeating or terminating pattern are irrational. Because 25.0657 terminates, it’s rational.

Answer:

x + 5.1 = 0

so, x = -5.1

A. -5.1 is the answer.

Answer:

20 and 21

Step-by-step explanation:

20.04 is the square root and is between 20 and 21

Answer:

I think A

Step-by-step explanation:

Answer:

The independent variable is the people listed

The dependent variable is three facts each person wrote down.

Answer:

[tex]x = y = z = 20[/tex]

Step-by-step explanation:

Given

[tex]Volume = 8000cm^3[/tex]

Required

Determine the dimensions that minimizes the surface area.

Surface area of a box is;

[tex]S = 2(xy + xz + yz)[/tex]

Volume of a box is:

[tex]V = xyz[/tex]

Make z the subject

[tex]z = \frac{V}{xy}[/tex]

Substitute 8000 for V

[tex]z = \frac{8000}{xy}[/tex]

Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]

[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]

[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]

Expand:

[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]

[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]

Differentiate S w.r.t x

[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]

Differentiate S w.r.t y

[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]

Equate both differentiation to 0

[tex]2x - \frac{16000}{y^2} = 0[/tex]

Multiply through by [tex]y^2[/tex]

[tex]2xy^2 - 16000 = 0[/tex]

[tex]2xy^2 = 16000[/tex]

Divide through by 2

[tex]xy^2 = 8000[/tex] -- (1)

[tex]2y - \frac{16000}{x^2} = 0[/tex]

Multiply through by x^2

[tex]2x^2y - 16000 = 0[/tex]

[tex]2x^2y = 16000[/tex]

Divide through by 2

[tex]x^2y = 8000[/tex] --- (2)

Divide (1) by (2)

[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]

[tex]\frac{x}{y} = 1[/tex]

[tex]x = y[/tex]

Substitute y for x in (1)

[tex]x^2y = 8000[/tex]

[tex]x^2 * x = 8000[/tex]

[tex]x^3 = 8000[/tex]

Take cube roots

[tex]x =20[/tex]

Hence;

[tex]x = y = 20[/tex]

Recall that:

[tex]z = \frac{8000}{xy}[/tex]

[tex]z = \frac{8000}{20 * 20}[/tex]

[tex]z = 20[/tex]

Hence, the dimension of the box that minimizes the surface area of the box is:

[tex]x = y = z = 20[/tex]

Answer:

OOF I MEANT A

Step-by-step explanation:

Michelle is in less debt than John

Answer:

See explanation

Step-by-step explanation:

66: Frequency: 2

Relative Frequency: 2/30=1/15

67: Frequency: 2

Relative Frequency: 2/30=1/15

68: Frequency: 2

Relative Frequency: 2/30=1/15

69: Frequency: 3

Relative Frequency: 3/30=1/10

70: Frequency: 6

Relative Frequency: 6/30=1/5

71: Frequency: 6

Relative Frequency: 6/30=1/5

72: Frequency: 2

Relative Frequency: 2/30=1/15

73: Frequency: 5

Relative Frequency: 5/30=1/6

74: Frequency: 2

Relative Frequency: 2/30=1/15

Answer: 103 degrees

Step-by-step explanation:

**point M is the center point of triangle ABC since it intersects both bisectors of Angle A and B.

Angle AMB=Angle M

A/2=

58/2=29 ==> Angle bisector divide an angle by half.

B/2=

96/2=48

29+48+M=180    ==> AMB is a new triangle formed inside triangle ABC.

77+M=180

M=103 degrees

AMB=103 degrees

Answer:

x = 40

Step-by-step explanation:

The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:

[tex] \frac{24}{24 - 15} = \frac{x}{x - 25} [/tex]

[tex] \frac{24}{9} = \frac{x}{x - 25} [/tex]

Cross multiply

[tex] 24(x - 25) = 9(x) [/tex]

[tex] 24x - 600 = 9x [/tex]

Subtract 24x from each side

[tex] - 600 = 9x - 24x [/tex]

[tex] - 600 = -15x [/tex]

Divide both sides by -15

[tex] 40 = x [/tex]

x = 40