Find the perimeter of the shape below. Each grey square has a side
length of 1.

Step-by-step explanation:

there is no interest and such involved. it is a straight forward calculation to allow the lender to accumulate enough funds (= the ESCROW account as part of the mortgage account structure) to be able to pay the taxes once a year on behalf of the owners.

so, the tax is $1.50 for every $100 of the assessed value of the house.

how many $100 units are in that value ?

180,000 / 100 = 1,800 units.

that means the tax for that house is

1800 × 1.5 = $2,700

in order for the lender to accumulate $2,700 in the ESCROW account in a year (= 12 months), the monthly contribution has to be

2700 / 12 = $225.00

Answer:

Step-by-step explanation:

I believe that the volume of the rectangular prism is 512.

Explanation: V = whl = 8 · 8 · 8 = 512

V=Volume

W= Width

H= Height

L= Length

Answer:

y = 8 [tex](\frac{1}{2}) ^{x}[/tex]

Step-by-step explanation:

an exponential function can be expressed in the form

y = a [tex]b^{x}[/tex]

to find a and b use points that lie on the graph

using (0, 8 ) , then

8 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then a = 8

y = 8[tex]b^{x}[/tex]

using (1, 4 ) , then

4 = 8[tex]b^{1}[/tex] = 8b ( divide both sides by 8 )

[tex]\frac{4}{8}[/tex] = b , that is b = [tex]\frac{1}{2}[/tex]

y = 8 [tex](\frac{1}{2}) ^{x}[/tex] is the exponential function

600 is the 80% of the the expected number

Number of people that expected to attend the concert = 750 people

Number of people that attended the concert = 600 people

600 is what percent of the expected number = ( Number of people that attended the concert ÷ Number of people that expected to attend the concert ) × 100

Substitute the values in the equation

600 is what percent of the expected number = (600 / 750) × 100

Divide the terms in bracket first

= 0.8 × 100

Multiply the given terms

= 80%

Hence, 600 is the 80% of the the expected number

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Answer:

100

Step-by-step explanation:

x = 20

x ÷ 2

= 20 ÷ 2

= 10

y = 10

y ( x ÷ 2 )

= 10 x 10

= 100

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 3}(x-\stackrel{x_1}{(-4)}) \implies y -1= 3 (x +4) \\\\\\ y-1=3x+12\implies y=3x+13\implies -3x+y=13\implies \boxed{3x-y=-13}[/tex]

Answer:

The new value is $292,110

Step-by-step explanation:

321,000 - (1 - 0.09) = 292,110

Answer:

x-int=-40

y-int=15

Step-by-step explanation:

we have points 0,15 and -40,0 on the line.

It is as easy as the y-int being 15 and the x-int being -40!

the y-int will always be= (0,#)

the x-int will always be (#,0)

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is -1/3 and that it passes through (-2 , 5.5)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{5.5})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5.5}=\stackrel{m}{- \cfrac{1}{3}}(x-\stackrel{x_1}{(-2)}) \implies y -5.5= -\cfrac{1}{3} (x +2)[/tex]

[tex]y-5.5=-\cfrac{1}{3}x-\cfrac{2}{3}\implies y=-\cfrac{1}{3}x-\cfrac{2}{3}+5.5\implies y=-\cfrac{1}{3}x-\cfrac{2}{3}+\cfrac{55}{10} \\\\\\ y=-\cfrac{1}{3}x-\cfrac{2}{3}+\cfrac{11}{2}\implies {\Large \begin{array}{llll} y=-\cfrac{1}{3}x+\cfrac{29}{6} \end{array}}[/tex]

The amount John will spend on food for each cow per month is approximately 15.08 dollars

John is in charge of feeding the pigs and cows on the farm.

The cow's food costs twice as much as the pig's food.

Let

x = cost of pigs food

y = cost cow's food

Hence,

y = 2x

There are 46 cows and 22 pigs on the farm. John has an $860 budget for food a month.

46y + 22x = 860

Therefore, let's combine the system of equation.

y = 2x

46y + 22x = 860

46(2x) + 22x = 860

92x + 22x = 860

114x = 860

x = 860 / 114

x = 7.5 dollars

y = 2(7.54) = 15.08 dollars

Therefore, the cost of food for each cow is 15.08 dollars

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The required simplified value of the given expression is given as -13/20.

Given that,
An expression is given, −1 4/5 + (−1/4) + (−1/5) we have to determine the sum of the expression.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
= -1 4/5 + (-1/4) + (-1/5)
= -1/5 -1/4 -1/5
= -2/5 -1/4
= -13/20

Thus, the required simplified value of the given expression is given as -13/20.

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Answer: 6 lbs per acre

Step-by-step explanation: just divide 36 by 6 and you get 6. To check your answer multiply 6 and 6. Then you get 36 and know your answer is right.

The area that is watered as the sprinkler rotates 90° is 196,250.

What is the area of the circular plot?

The space a circle takes up in a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = πr², where r is the circle's radius, is the formula for calculating a circle's surface area.

Here, we have

Diameter = 1000ft

Radius = 500

Then, we apply the area of a circle and get

= (90/360)× π×(500)²

= 62,500 × π

= 196,250

Hence, the area that is watered as the sprinkler rotates 90° is 196,250.

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Answer:

Step-by-step explanation:

50

The equation of the line in slope-intercept form is y = -4x/3-6 when the line is parallel to y = -4x/3+11.

According to the question,

We have the following information:

The line is parallel to y = -4/3x + 11 and passes through the point (–6, 2).

Now, we know that the following formula is used to find the equation of the line:

y-y' = m(x-x')

In this case, m is the slope of the line.

m = -4/3

We have the following values:

x' = -6 and y' = 2

Now, we have the following expression:

(y-2) = -4/3(x+6)

y-2 = -4x/3-8

Adding 2 to both sides of the equation:

y = -4x/3-8+2

y = -4x/3-6

Hence, the equation of the line in slope-intercept form is y = -4x/3-6 when the line is parallel to y = -4x/3+11.

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Answer:

Lee would have $1.30 left.

Step-by-step explanation:

7 x 5 = $35

6 x .25 = $1.50

Altogether, Lee has $36.50 before buying the jacket

$36.50 - 35.20 = $1.30

Answer:

Hope the picture will help you

Answer:

  y = 2x +2

Step-by-step explanation:

You want the equation of the line through points (-4, -6) and (2, 6).

The slope of the line is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (6 -(-6))/(2 -(-4)) = 12/6 = 2

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Using the point (2, 6) and the found value of slope, an equation for the line can be written:

  y -6 = 2(x -2) . . . . point-slope equation for the line

Solving this equation for y and simplifying, we get the slope-intercept equation of the line.

  y = 2x -4 +6 . . . . . eliminate parentheses, add 6

  y = 2x +2 . . . . . . . . simplify; slope-intercept equation

Answer: 35 miles

Step-by-step explanation:

First we divide 280 by 8 to get the answer per gallon. 280 / 8 = 35, therefore each gallon equals 35 miles.

Histogram for the following intervals will be,

5-9 (4)

10-14 (3)

15-19 (5)

20-24 (3)

Acc to our question-

hence, histogram will show the values.

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I think the answer is C. Because the energy from the sun does break Down rocks and release salt

Answer:

y=60°, x=60°

Step-by-step explanation:

X=60° Angles in a Equaliteral triangles are all 60°

Alternate angle to get the base angle close to y

Y=60° because of Isoceless angles

Answer:

37,

Step-by-step explanation:

It is true that when you add an integer to +3, a negative sum or postive sum is possible. An example is 2 + 3 = 5 and -4 + 3 = -1

It should be noted that from the information,we want to prove that addition of +3 to an integer can either be negative or positive.

This will be:

= 2 + 3

= +5

In this case, it gives a positive number.

Also, -4 + 3

= -1

This gives a negative number.

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If Samuel answers 9 questions wrong, his score will be 55 points, and if he answers x questions wrong his score is:

f(x) = 100 - x*5

We know that there are 100 points available, and each question gives 5 points, then the number of questions is given by the quotient:

100/5 = 20

There are 20 questions.

So, if you answer 9 wrong, then you answer:

20 - 9 = 11  correctly

Then your score is:

11*5 = 55

Your score will be 55 points.

And again, each answer gives 5 points, so if you answer x questions wrong your score will be the linear equation:

f(x) = (20 - x)*5

f(x) = 100 - x*5

Where x is an integer between 0 and 20.

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The correct answer is Option A.

Randomization important because it is used to ensure all treatment groups receive experimental units .

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Answer:

the answer is c. to ensure that all treatment groups are roughly equivalent regarding the variability within the experimental units

Step-by-step explanation: