What is the slope of the line?

Answer:

~1467

Step-by-step explanation:

$200,000 x 8.5% or .085 = $17,000 Annualy

$17,000 / 12 Months out of the year = $1466 2/3 Monthly Payments

Answer is $1467 Rounded

The monthly interest payment is $1,467.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (\$200,000 \times 8.5\%) \div 12[/tex]

= $1,467

Therefore we can conclude that the monthly interest payment is $1,467.

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Answer:

Area of the walkway border is 736 ft²

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.

The entire pool area has a length of 60 feet and width of 40 feet. The area of the entire pool area is:

Area of entire pool = length * width = 60 feet * 40 feet = 2400 ft²

The area of entire pool

A walkaway border of 4 ft is made around the pool area. There is a decrease of 4 ft round the sides of the pool area.

Therefore length of pool = length of entire pool area - 4 feet border at left - 4 feet border at right  = 60 ft - 4 ft - 4 ft = 52 ft

width of pool = width of entire pool area - 4 feet border at top - 4 feet border at bottom  = 40 ft - 4 ft - 4 ft = 32 ft

Therefore the pool is 52 ft × 32 ft

Area of pool = length * width = 52 ft * 32 ft = 1664 ft²

Area of the walkway border = Entire pool area - Area of pool = 2400 ft² - 1664 ft² = 736 ft²

Answer: The answer is 736ft

Step-by-step explanation:

I took the test and it was 736

Answer:

Step-by-step explanation:

There are 12 months in one year, so there would be 12*y in y years.

Answer:

there 12 months in one 1 year

Step-by-step explanation:

Answer:

I'm pretty sure it's 2 and 3

Answer:

y=x+2.

Step-by-step explanation:

1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:

[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]

2. if to evaluate the equation, then

x+3=y+1; ⇔ y=x+2 (slope-interseption form).

Answer:

See proof below

Step-by-step explanation:

If C is the midpoint of AB, then AC = CB

Given

AC=7x−10;

CB=3x+10

Then 7x - 10= 3x+10

Add 10 to both sides

7x-10+10 = 3x +10+10

7x = 3x + 20

7x - 3x   = 10+10

4x = 20

x = 20/4

x = 5

Get AC

AC = 7x - 10

AC= 7(5) - 10

AC = 35-10

AC = 25 (Proved)

The number of laps per minute is given by equation A = 2/3 laps per minute

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the number of laps per minute be represented as A

Now , the value of A is

The total number of laps = 10 laps

The total time for 10 laps = 15 minutes

So , the number of laps per minute = number of laps / total time for 10 laps

On simplifying the equation , we get

The number of laps per minute A = 10 / 15

The number of laps per minute A = 2/3 laps per minute

Hence , the number of laps per minute is ( 2/3 ) laps

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Answer:

The fourth option i.e. 'no solution' is correct.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]

Adding both equations

[tex]-\frac{2}{3}x-y=2[/tex]

[tex]+[/tex]

[tex]\underline{\frac{2}{3}x+y=6}[/tex]

[tex]0=8[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]

0 = 8 is FALSE!

Therefore, the system of equations has no solution.

Thus,

No Solution!

Hence, the fourth option i.e. 'no solution' is correct.

Answer:

y=1/4x+6

Step-by-step explanation:

The formula for writing a slope equation is y=mx+b. The slope is 1/4, or m, and the y-intercept is 6, or b. Don't worry about the x or y, leave them as variables.

Answer:

A is 40

B is 12

Step-by-step explanation:

A- because 1.6 divided by 40 is 0.04

B- because 12 or 12.6 for an exact answer

Exact Form:

x=5/4

Decimal Form:

x=1.25

Mixed Number Form:

x= 1 1/4

The correct answer is,

[tex]x = \frac{5}{2} [/tex]

Answer:

3

Step-by-step explanation:

_+(-4) = -1

_-4 = -1

_ = 3

Answer: acute angle, straight line

Step-by-step explanation:

Answer:

2.04081632653

Step-by-step explanation:

If you wanted to round it, it would be 2 because the 4 isn't enough to bump it up. Hope this helped you!

Answer:

2.04

Step-by-step explanation:

Answer:

the water to be added is 0.2 L

Step-by-step explanation:

The computation of the water to be added is given below:

The banberry amount is

= 7% of 6 Liters

= 0. 42L

Now

Let us assume the amount of water added be x L

So, the total solution is

=  6+ x L

Now percentage of banberry is

= 0.42 × 100 ÷ (6+x)

5 = 0.42 × 100 ÷ (9 + x)

9 + x = 9.2

x = 0.2 L

hence, the water to be added is 0.2 L

Step-by-step explanation: To find how many girls are blonde-haired, we'll have to subtract.

120 - 20 =

1. Subtract 0 by 0.

0 - 0 = 0

2. Subtract 2 by 2.

2 - 2 = 0

3. Since there isn't a number in the hundred's place, bring the 1 down.

Therefore, your answer is: 100. There are 100 blonde-haired girls.

Answer:

$3

Step-by-step explanation:

you multiply 30 by 0.10 giving you 3

the third one, you have written not clearly

bwhwhsbsh hsbsvs bw wjw wjw whe

Step-by-step explanation:

See the attached for the proof

Answer:

The answers are 0 and -1

Step-by-step explanation:

Answer:

0 and -1

Step-by-step explanation:

Answer:

∠J=85°

Step-by-step explanation:

Theory to know when answering this question:

1. The sum of the angles in a quadrilateral (shape with four sides) is 360°

2. Similar shapes have the same angles

Point 1 tells us that ∠P+∠Q+∠S+∠R=360

Point 2 tells us that ∠F=∠P, ∠G=∠Q, ∠J=∠S, and ∠H=∠R.

∴∠F+∠Q+∠J+∠R=360

109+122+∠J+44=360

∠J=360-275=85°

Answer:

Step-by-step explanation:

x + 159 = 180

x = 21

Answer:

x + 159 = 180

x = 21

Step-by-step explanation:

Answer:

your answer will be x=1.13504161

9514 1404 393

Answer:

  {-1.47, 1.14}

Step-by-step explanation:

The solution to ...

  ax^2 +bx +c = 0 is ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Filling in the values a=3, b=1, c=-5, the solutions are ...

  [tex]x=\dfrac{-1\pm\sqrt{1^2-4(3)(-5)}}{2(3)}=\dfrac{-1\pm\sqrt{61}}{6}\\\\\boxed{x\approx\{-1.47,1.14\}}[/tex]

Answer and explanation:

Decision variables are variables that are independent(indeoendent variables) and can be controlled by the decision maker. Decision variables influence outcome or result of a solution, usually denoted x in linear programming.

Decision variables above include:

Number of Aqua-Spa Produced.

* Number of Hydro-Lux Produced.

* Number of Pumps Purchased.

* Amount of Available Labor Hours.

* Amount of Available Tubing Available

Answer:

2.718

Step-by-step explanation:

2.718281828459045 to the nearest thousandths is 2.718

Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane

Answer:

y = -5x + 8

Step-by-step explanation:

Slope-intercept form = ('y = x + b')

x being slope; b being the y-intercept.

Slope = rise/run (or y/x)

Take for example the point on the y-intercept, find the next intercepting point.

(0, 8); (1, 3)

In these points, y (rise/fall) decreases by 5. x increases by 1. Using rise/run (or y/x), we conclude that the slope is -5\1.