Find the area of this shape

Answer:

Option D) $1,585.35

Step-by-step explanation:

This given problem involves annuities, which are sequence of equal periodic payments. Use the following amortization formula:

\(PMT = PV[\frac{i}{1- (1 + i)^{-n} }]\)

where:

PMT = value of the monthly payments

PV = Present value of the mortgage (less 10% down of $28,000) = $252,000

i = interest rate = 5.75% ÷ 12 months = 0.004791667

n = number of compounding periods = 12 months × 25 years = 300

Substitute these values into the given formula:

\(PMT = PV[\frac{i}{1- (1 + i)^{-n} }]\)

\(PMT = 252,000[\frac{0.004791667}{1 - (1 + 0.004791667)^{-300} }]\)

PMT =  $252,000(0.00629106)

PMT = $1,585.35

Therefore, the monthly payment is $1,585.35.

**Quick note: for these types of problems, make sure you don't round up your decimal places until the very last step of your solution, because if you prematurely round-up your decimal values for i, you'll end up with a much different solution. Imagine that in this given problem, your solving for 25 years' worth of payments, so those differences add up.

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Answer:

(3 × 2x^8y^5) hope this helps

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

On the translation of △ABC to △A′B′C′, the rule applied to the vertices is:

(x,y) -> (x + 4, y).

Hence it was translated 4 units right.

On the translation of △A′B′C′​ to △A′′B′′C′', the rule is given by:

(x,y) -> (-y,x).

Hence it was rotated 90 degrees counterclockwise about the origin.

The triangle keeps the same size after the translations, hence:

Because the transformations are both rigid, the pre-image and the image are congruent.

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Answer:

Step-by-step explanation:

The Springfield Middle School sixth-grade teachers of history, science, and art are listed in the table. How many combinations of one history, one science teacher, and one art teacher

let say number of history. teacher = H

number of science teacher = S

number of Art teacher = A

Acombinations of one history, one science teacher, and one art teacher = H * S * A

The combinations of one history, one science teacher, and one art teacher include Mr. Bergeron is (H x S x A).

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

We have,

The Springfield Middle School sixth-grade teachers of history, science, and art are listed in the table.

The number of history teacher = H

and, the number of science teacher = S

and, the number of Art teacher = A

So, the combinations of one history, one science teacher, and one art teacher

= H x S x A

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Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.

It should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:

= ✓(0.35² + 0.65²)

= 0.76 miles.

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For this case we have the following expression given:

We can begin doing this:

We can cancel -6 and we got:

Now we can replace h=3 and j= 6 and we got:

Answer:

Your answer is

People is Discrete Variable.

So it cant be a Rational number. So it is 1

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Answer:

See below

Step-by-step explanation:

a.

f(x) = 6x + 9

f(-2) = 6(-2) + 9

f(-2) = -12 + 9

f(-2) = -3

b.

f(x) = 6x + 9

f(x + 7) = 6(x + 7) + 9

f(x + 7) = 6x + 42 + 9

f(x + 7) = 6x + 51

c.

f(x) = 6x + 9

f(-x) = 6(-x) + 9

f(-x) = -6x + 9

Answer: 39/47

Step-by-step explanation:

38/47 people like milk.  Thus, there is a 38/47 chance that the selected person likes milk.

Answer:

39/47

Step-by-step explanation:

I hope this helps :)

Answer:

80 percent

Step-by-step explanation:

Answer:

\(\bold{2\frac{4}{5}}\) or 2.8

Step-by-step explanation:

Scale factor is the original value multiplied by a number. So if we are looking for the scale factor, and it is multiplication, we should do the opposite action. The inverse operation for multiplication is division.

Step 1: Divide 7 by 2.5

\(\frac{7}{2.8}\)

\(7\div2.5=\bold{2.8}\)

Now, we can also confirm if this is correct. Simply multiply the answer to the original image.

\(2.8\times2.5=7\)

Therefore, the scale factor is 2.8, or  \(\bold{2\frac{4}{5}}\) in fraction form.

Answer:

put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle

For the ppl who can click on brainly:

Part A:

Like Cupcakes

Do Not Like Cupcakes

Total

Like Brownies

37

22

59

Do Not Like Brownies

35

6

41

Total

72

28

100

Part b: 6

Part c: You really have to figure out how to word this 37- 72=35 35-41=6

hope it helps

On a number line, 7.05 would be located

From the question, we have the following parameters that can be used in our computation:

Number = 7.05

The analysis of its position s as follows:

So, the true statements are B and C.

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Part a

Setting \(x=6\), \(y=7.9(1.02)^6 \approx \boxed{8.9}\)

Part b

Setting \(x=14\), \(y=7.9(1.02)^{14} \approx \boxed{10.4}\)

Answer:

For maximum area: Its a square of dimensions 7.25 * 7.25.

Step-by-step explanation:

We can use calculus to solve this:

Let the length of the rectangle be L and the width be W then we have

2L + 2W = 29

L + W = 14.5

W = 14.5 - L

Area = WL

A = L(14.5 - L)

A = 14.5L - L^2

We need this to be a maximum.

Finding the derivative:

dA/dW = 14.5 - 2L = 0   for a maximum

2L = 14.5

L = 7.25

Also W = 14.5 - L

= 14.5 - 7.25 = 7.25.

So the dimensions for maximum area are 7.25 * 7.25.

The  figure is a SQUARE.

The perimeter of a rectangle, is the sum of its side lengths.

The rectangle that has the maximum area when the length is 7.25 and the width is 7.25

The perimeter is given as:

\(\mathbf{P = 29}\)

Let the dimensions be l and w.

So, we have:

\(\mathbf{2( l + w) = 29}\)

Divide both sides by 2

\(\mathbf{l + w = 14.5}\)

Make l the subject

\(\mathbf{l = 14.5 - w}\)

The area of a rectangle is:

\(\mathbf{A = lw}\)

Substitute \(\mathbf{l = 14.5 - w}\)

\(\mathbf{A = (14.5 - w)w}\)

Open brackets

\(\mathbf{A = 14.5w - w^2}\)

Differentiate

\(\mathbf{A' = 14.5 - 2w}\)

Set to 0

\(\mathbf{14.5 - 2w = 0}\)

Collect like terms

\(\mathbf{2w = 14.5}\)

Divide both sides by 2

\(\mathbf{w = 7.25}\)

Recall that: \(\mathbf{l = 14.5 - w}\)

So, we have:

\(\mathbf{l = 14.5 - 7.25 = 7.25}\)

Hence, the rectangle that has the maximum area when the length is 7.25 and the width is 7.25

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Answer:

9(2f-5)

Step-by-step explanation:

the gcf of 18 and 45 is 9, so you divide 18 and 45 by it.

On solving the provided question, we can say that A certain regular polygon is rotated 30 and 30° about its center pentagon will be regular polygon could it be

A pentagon is a polygon with five sides that is used in geometry. The inner angles of a straightforward pentagon add up to 540°. Simple or self-intersecting pentagons are both possible. A pentagram is a self-intersecting regular pentagon. Five angles and all sides of a regular pentagon are equal. It is referred to as an irregular pentagon if the side lengths and angle measurements do not match. All outside angles, as far as we are aware, balance out inside angles. The polygon's exterior angle total is therefore equal to n(360°/n). There are five sides to a pentagon, therefore n must equal five. Consequently, 5(360°/5) = 360° is the sum of the pentagon's outer angles.

here,

A certain regular polygon is rotated 30 and 30° about its center

pentagon will be regular polygon could it be

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The error in finding the perimeter of the rectangle is that the length was not calculated correctly, as it is of 5 units.

The perimeter of a rectangle of dimensions l and w is given by:

P = 2l + 2w.

From the graph, the dimensions are given as follows:

Hence the perimeter is:

P = 2l + 2w = 2(5) + 2(3) = 16 units.

The calculated length was of 4, hence the error in finding the perimeter of the rectangle is that the length was not calculated correctly, as it is of 5 units.

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Answer: 12 gallons.

Step-by-step explanation: It takes 4 cups to make 1 quart.  It takes 4 quarts to make a gallon.  If you do the calculations, it takes 16 cups in total to make 1 gallon.  By dividing 192 / 16, you 12, which is how many gallons you get when you have 192 cups.

Let me know if this is right! :)

Answer:

x is -7.5 or -14/2 or -7½

Step-by-step explanation:

- Supposing y varies directly with x

\( { \tt{y \: \alpha \: x}} \\ \: \: \: \: { \tt{y = kx}} \)

[k is a constant of proportionality (k ≠ 0)]

- When y is 6, x is -2

\( \: \: \: \: \: \: \: \: \: { \tt{6 = (k \times ^{ - }2) }} \\ { \tt{6 = - 2k}} \\ { \tt{k = - 3 \: \: }}\)

- Therefore, the equation is;

\({ \boxed{ \tt{y = - 2x}}}\)

- What is x when y is 15

\({ \tt{15 = - 2x}} \\ { \tt{x = - 7.5}}\)

The value of x is -5

The equation for a direct variation is y = kx, where k is the constant of variation. Since we know that y = 6 when x = -2, we can solve for k:

                                        k = y/x

                                        k = 6/-2

                                        k = -3

Therefore, the equation for this direct variation is y = -3x. To find x when y = 15, Substitute k = -3 and y = 15 into the equation

                                15 = -3x

Then solve x,

                       x = \(\frac{-15}{3}\)

                        x = -5

Therefore, when y = 15, x = -5.

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Answer:

unit long

Step-by-step explanation:

Abhasra ran 21 kilometers last week. By forming an equation, the required value is evaluated.

To write an equation from a words,

It is given that, Daniel ran 5 kilometers less than Abhasra last week.

And Daniel runs 16 kilometers that week.

From this, consider the number of kilometers by Abhasra as 'x'.

So, the number of kilometers by Daniel = x - 5

But we have x - 5 = 16

Thus, the required equation is x - 5 = 16.

By solving this we get the required number as

x - 5 = 16 ⇒ x = 16 + 5 = 21

Therefore, Abhasra ran 21 kilometers.

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The value of x from the equation is  2√2

Linear equations are equations with one or two variables.

It is also important to note that the highest power of variable is 1

Given the equation;

yx² = 8y

Let's make 'x' the subject of the equation

Divide both sides by y, we have;

yx²/y = 8y/ y

x² = 8

Take the square root of both sides

(√x²) = √8

The square root takes the square, we have

x = √8

x = √4 × 2

x = 2√2

Thus, the value of x from the equation is  2√2

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Answer: This we help u

x<7/2<3 1/2

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Answer:

B = (A/(2h)) - a

Step-by-step explanation:

A = h(a+b)2

divide both sides of the equation by 2h

A/(2h) = a+b

subtract a from both sides

(A/(2h)) -a = b

Answer: i would say 6

Step-by-step explanation: