Write an equation of the line containing the given point and parallel to the given line.
(2, -3); 2x – 3y = 8

Answer:

She is correct.

Step-by-step explanation:

1/2 and 50% is the same thing

50%  is 1/2 of 100

Answer:

Step-by-step explanation:

2145

Answer:

The mortgage chosen is option A;

15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470

Step-by-step explanation:

The details of the home purchase are;

The price of the home = $275,000

The mode of purchase of the home = Mortgage

The percentage of the loan amount payed as down payment = 20%

The amount used as down payment for the loan = $55,000

The principal of the mortgage borrowed, P = The price of the house - The down payment

∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000

The principal of the mortgage, P = $220,000

The formula for the total amount paid which is the cost of the loan is given as follows;

[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]

The formula for monthly payment on a mortgage, 'M', is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

A. When the mortgage term, t = 15-years,

The interest rate, r = 3%

The number of months over which the loan is payed, n = 12·t

∴ n = 12 months/year × 15 years = 180 months

n = 180 months

The monthly payment, 'M', is given as follows;

M =

The total amount paid over the loan term = Cost of the mortgage

Therefore, we have;

220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)

[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]

The minimum monthly payment for the loan, M ≈ $1,519.28

The total amount paid over loan term, A = n × M

∴ A ≈ 180 × $1,519.28 = $273,470

The total amount paid over loan term, A ≈ $270,470

B. When t = 20 year and r = 6%, we have;

n = 12 × 20 = 240

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]

The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276

The monthly payment, M = $1,576.15

C. When t = 30 year and r = 5%, we have;

n = 12 × 30 = 360

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]

The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163

The monthly payment, M ≈ $1,181.01

The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability

Therefore;

The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;

The total amount paid over the loan term = $270,470

Answer:

450 feet

Step-by-step explanation:

60ft = 4 seconds

x ft = 30 seconds

(cross multiply)

60 * 30 = 4x

1800= 4x

(divide both sides by 4)

x= 1800/4= 450

Answer:

ur answer would be 450 feet

Step-by-step explanation:

srry if wrong hope this helps<3

Answer:

A) it wouldn't fit

Step-by-step explanation:

Answer:

its b i did that befroe and it was b

Step-by-step explanation:

Answer:

-9n + 36

Step-by-step explanation:

1. -9(n - 4)    -Distribute

2. -9n + 36  -Answer

[tex]\huge\fbox{\sf{Answer:~~{\boxed{-9n+36}}}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression. It's easy, because all we have to do is "distribute"  -9:

[tex]\bold{-9(n-4)}[/tex]

[tex]\bold{-9n+36}[/tex]

Hope it helps!

#[tex]\rm{HaveAnAmazingDay:)[/tex]

~ [tex]\sf{Just~a~teenage~girl~willing~to~help[/tex]

[tex]\bold{Besties4Ever:-):-):-)}[/tex]

Answer:

answer is 1.1

Step-by-step explanation:

that you can divide and see the answer

Answer:

[tex]\large\boxed{\tt x = 444.}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]

[tex]\textsf{Note that our goal is to leave x alone on the left side of the equation. In order}[/tex]

[tex]\textsf{to do so we will need to use the \underline{Properties of Equality}.}[/tex]

[tex]\large\underline{\textsf{What are the Properties of Equality?}}[/tex]

[tex]\textsf{Properties of Equality are 9 Properties that allows us to manipulate equations}[/tex]

[tex]\textsf{to, commonly find unknown variables or to determine if equations are true.}[/tex]

[tex]\textsf{For our problem, we will be using 2 out of 9 of these properties as we need to}[/tex]

[tex]\textsf{isolate x, and make sure x is 1x.}[/tex]

[tex]\large\underline{\textsf{Solving for x;}}[/tex]

[tex]\tt \frac{1}{2} x-41=181[/tex]

[tex]\textsf{Let's first use the Addition Property of Equality where the equation will be equal}[/tex]

[tex]\textsf{if we add the same number to both sides of the equation. Let's start by adding}[/tex]

[tex]\textsf{41 to both sides of the equation.}[/tex]

[tex]\tt \frac{1}{2} x-41+41=181+41[/tex]

[tex]\tt \frac{1}{2} x = 222[/tex]

[tex]\textsf{Next, let's use the Multiplication Property of Equality where the equation is}[/tex]

[tex]\textsf{equal if we multiply the same number to both sides of the equation. Let's}[/tex]

[tex]\textsf{multiply 2 to both sides of the equation to cancel out} \ \tt \frac{1}{2} .[/tex]

[tex]\tt 2 \times \frac{1}{2} x = 222 \times 2[/tex]

[tex]\large\boxed{\tt x = 444.}[/tex]

Answer:

1/100

Step-by-step explanation:

Hope it helps

Please brainliest

Answer: 78.54

Step-by-step explanation:

Answer:

31.4 cm²

Step-by-step explanation:

10*3.14=31.4²

Answer:

first one is 8 second one is 28

Step-by-step explanation:

correct on edge

Answer: 6622

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

Area=QR*18

=360

Answer:

24

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

2(4)-3(2)=

8-6=2

Answer:

[tex]-\frac{1}{2} x^{4}-\frac{3}{2} x^{3} + 4x^{2} - 2x + 5[/tex]

Answer:

Option C

Option D

Step-by-step explanation:

We have to calculate each expression to find for which one is the solution is x=25.

A)

[tex] \frac{x + 6}{3} = 10 \\ x + 6 = 10 \: . \: 3 \\ x + 6 = 30 \\ x = 30 - 6 \\ x = 24[/tex]

B)

[tex]x - 8 = 32 \\ x = 32 + 8 \\ x= 40[/tex]

C)

[tex]6x - (15 + 4x) = 35 \\ 6x - 15 - 4x = 35 \\ 2x = 35 + 15 \\ 2x = 50 \\ x = \frac{50}{2} \\ x = 25[/tex]

D)

[tex] \frac{3x}{5} = 15 \\ 3x = 15 \: . \: 5 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]

E)

[tex]4(x - 18) = 12 \\ x - 18 = \frac{12}{4} \\ x - 18 = 3 \\ x = 3 + 18 \\ x = 21[/tex]

Answer:

16.33

Step-by-step explanation:

I hope this was right!

Answer:5.83

Step-by-step explanation:

2x^2 + 14x + 12 = 0

x^2 + 7x + 6 = 0

( x + 1 )( x + 6 ) = 0 ==》 x = - 1 Or x = - 6

Answer:

Foods and shoes thats it

Step-by-step explanation:

Answer:

n/3+4=9

    -4   -4

3x n/3=5x3

n=15

Step-by-step explanation:

i hope this helps :)

Answer:

I think it’s D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

Distance = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

a). A(-6, -4), B(-3, -1)

Distance between A and B = [tex]\sqrt{(-6+3)^2+(-4+1)^2}[/tex]

                                             = [tex]\sqrt{9+9}[/tex]

                                             = 3√2

                                             = 4.2 units

b). C(3.5, 1), D(-4, 2.5)

Distance between C and D = [tex]\sqrt{(3.5+4)^2+(1-2.5)^2}[/tex]

                                              = [tex]\sqrt{58.5}[/tex]

                                              = 7.65

                                              ≈ 7.7 units

c). Distance between X(5, -5) and Y(-5, 5)

    Distance = [tex]\sqrt{(5+5)^2+(-5-5)^2}[/tex]

                    = [tex]\sqrt{200}[/tex]

                    = 10√2

                    = 14.14

                    ≈ 14.1 units

Answer:

5units

Step-by-step explanation:

Given the two vertices of a rectangle at (3,2) and (8,2). We are to calculate the distance between the two points.

Using the formula

D = √(x2-x1)²+(y2-y1)²

D = √(2-2)²+(8-3)²

D = √0+5²

D =  √25

D = 5

Hence the length of the side of the rectangle is 5units