Trey made20000 in taxable income last year. suppose the income tax rate is 10% for the first $9500 plus 14% for the amount over $9500. How much must trey pay in income tax for last year?

Step-by-step explanation:

To calculate the total cost of the truck including all payments and down payment, we can use the formula for the future value of an annuity due:

FV = PMT × (((1 + r/n)^(n×t) - 1) / (r/n)) + PV × (1 + r/n)^(n×t)

where:

- FV is the future value of the annuity due (the total cost of the truck including all payments and down payment)

- PMT is the monthly payment

- r is the annual interest rate (4%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (3)

- PV is the present value of the annuity due (the amount financed after the down payment)

First, we need to calculate the monthly payment:

PMT = (r/n) × PV / (1 - (1 + r/n)^(-n×t))

PV = $18,000 - $2,000 = $16,000

PMT = (0.04/12) × 16000 / (1 - (1 + 0.04/12)^(-12×3)) = **$470.98**

Now we can calculate the future value of the annuity due:

FV = PMT × (((1 + r/n)^(n×t) - 1) / (r/n)) + PV × (1 + r/n)^(n×t)

FV = 470.98 × (((1 + 0.04/12)^(12×3) - 1) / (0.04/12)) + 16000 × (1 + 0.04/12)^(12×3) = **$19,981.63**

Therefore, the total cost of the truck including all payments and down payment is **$21,981.63**.

15.3 cm is the diameter of the circle circumscribed about ABC.

In order to determine the diameter of the circle circumscribed about ABC, the formula D = c/sin(C) can be used, where D represents the diameter of the circle, c represents the length of the side opposite the angle in question, and C represents the angle in question.
Therefore, by substituting the values given in the question in the above formula, we get:D = 13.6/sin(63°)D = 15.3 cmHence, the diameter of the circle circumscribed about ABC is 15.3 cm.
The circumcircle of a triangle is a circle that passes through all three vertices of the triangle.

The circumcenter is the point at which the perpendicular bisectors of the sides of the triangle intersect.

The radius of the circumcircle is half of the diameter of the circle. In the given problem, we are required to find the diameter of the circle circumscribed about triangle ABC.
The formula used to find the diameter of the circle circumscribed about the triangle is D = c/sin(C), where D is the diameter of the circle, c is the length of the side opposite to the angle C, and C is the angle for which we are trying to find the diameter of the circle.
The given problem provides us with the value of side AC which is 13.6 cm and the angle at B is 63°. We have to find the diameter of the circle circumscribed about the triangle.

By using the formula D = c/sin(C) and substituting the given values, we get the diameter of the circle circumscribed about triangle ABC which is 15.3 cm.

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Answer:

2/3

Step-by-step explanation:

You set up the formula then come out with 2/3

Its also positive because the arrows are facing to the right.

These methods can be used in the construction of water tanks, oil storage tanks, cans, and tubes. They can also be used in the engineering sector to determine the Volume of certain cylinders like pipes and cylinders.

The cylinder is a geometrical figure which is three-dimensional with two parallel circular bases. There are different ways to calculate the area of a cylinder and the surface area of a cylinder.

The methods and formulas of calculating the area of a cylinder and the surface area of a cylinder are explained below.Area of a CylinderThe area of a cylinder is defined as the region occupied by the cylinder on a two-dimensional plane.

The formula used to calculate the area of a cylinder is A = 2πr² + 2πrh. Here, r denotes the radius of the circular base, and h denotes the height of the cylinder. The area of curved surface area of a cylinder is 2πrh. Surface Area of a Cylinder

The surface area of a cylinder refers to the total area of the figure including the area of the two bases of the cylinder.

The formula for calculating the surface area of a cylinder is A = 2πr(h + r). Here, r denotes the radius of the circular base, and h denotes the height of the cylinder. The surface area of the two circular bases of a cylinder is 2πr².

The two methods of calculating the area of a cylinder and the surface area of a cylinder are very essential in solving real-life problems.

For instance, these methods can be used in the construction of water tanks, oil storage tanks, cans, and tubes. They can also be used in the engineering sector to determine the volume of certain cylinders like pipes and cylinders.

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The possible coordinates for the fountain are (-11/4, -5/2) and (-11/4, 5/2),

To find the possible coordinates for the fountain that is 5 units away from both statues A and B, we can use the concept of distance formula.

The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula:

d = √((x₂ - x₁)² + (y₂ - y₁))

In this case, the coordinates for statue A are (-2, -1) and the coordinates for statue B are (4, -1).

Let's assume the coordinates for the fountain are (x, y). We want the distance between the fountain and both statues to be 5 units.

Using the distance formula for statue A:

5 = √((-2 - x)² + (-1 - y)²)

Simplifying:

25 = (-2 - x)² + (-1 - y)² (equation 1)

Using the distance formula for statue B:

5 = √((4 - x)² + (-1 - y)²)

Simplifying:

25 = (4 - x)²+ (-1 - y)² (equation 2)

We have a system of equations (equation 1 and equation 2) that represents the conditions for the fountain's coordinates.

By solving this system of equations, we can find the possible coordinates for the fountain.

Note: The solution to this system of equations will provide two sets of coordinates that satisfy the given conditions.

To solve the equations, we can expand and simplify:

From equation 1:

25 = 4 + 4x + x² + 1 + 2y + y²

x² + y² + 4x + 2y - 20 = 0 (equation 3)

From equation 2:

25 = 16 - 8x + x² + 1 + 2y + y²

x² + y² - 8x + 2y - 9 = 0 (equation 4)

Now, we can solve equations 3 and 4 simultaneously.

Subtracting equation 4 from equation 3 we get:

(8x - 4x) + (-9 + 20) = 0

4x + 11 = 0

4x = -11

x = -11/4

Substituting the value of x back into equation 3:

(-11/4)² + y² + 4(-11/4) + 2y - 20 = 0

y² + 2y - 25/4 = 0

Solving this quadratic equation, we can find the possible values of y. Factoring the equation:

(y + 5/2)(y - 5/2) = 0

This gives us two solutions:

y + 5/2 = 0 -> y = -5/2

y - 5/2 = 0 -> y = 5/2

Therefore, the two possible coordinates for the fountain are (-11/4, -5/2) and (-11/4, 5/2).

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The possible lengths for the third side are B. 9, C. 11, and OD. 5.

To determine the possible lengths of the third side of a triangle, we need to apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

Let's analyze the given options:

A. 7: This cannot be the length of the third side since it is equal to one of the given sides, which violates the triangle inequality theorem.

B. 9: This could be the length of the third side. 4 + 7 > 9, and 7 + 9 > 4, satisfying the triangle inequality theorem.

C. 11: This could be the length of the third side. 4 + 7 > 11, and 7 + 11 > 4, satisfying the triangle inequality theorem.

OD. 5: This could be the length of the third side. 4 + 7 > 5, and 5 + 7 > 4, satisfying the triangle inequality theorem.

E. 17: This cannot be the length of the third side since the sum of the two given sides is 4 + 7 = 11, which is less than 17. Therefore, the triangle inequality theorem is violated.

OF. 3: This cannot be the length of the third side since it is less than the length of either of the given sides. Therefore, the triangle inequality theorem is violated.

Based on the analysis, the possible lengths for the third side are B. 9, C. 11, and OD. 5.

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The equation does not have a unique solution for x. It is true for any value of x.

The given equation is:

(5/7)(x + 2) - (3/7)x = (2/7)(x + 5)

To solve for x, we'll first simplify both sides of the equation using the distributive property and combining like terms:

[(5/7)x + (5/7)(2)] - (3/7)x = [(2/7)x + (2/7)(5)]

Simplifying further:

(5/7)x + 10/7 - (3/7)x = (2/7)x + 10/7

Next, we'll collect the x terms on one side and the constant terms on the other side of the equation:

(5/7)x - (3/7)x - (2/7)x = 10/7 - 10/7

Combining like terms:

[(5/7) - (3/7) - (2/7)]x = 0

Simplifying further:

(0/7)x = 0

Any value of x will satisfy this equation since (0/7)x will always be zero.

Therefore, the equation does not have a unique solution for x. It is true for any value of x.

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Answer:

I would say D

Step-by-step explanation:

since it already tells you what y equals it makes it easier to substitute the others take more work so the best first step is substituting for y

Answer:

Option D) Substitute for y in the first equation

Step-by-step explanation:

When solving for a system of equation, we always need 1 equation to have x or y already isolated by itself.  This makes it easy to substitute that variable into the other equation, solve, then substitute the other variable into another equation.

This will give us an ordered pair, known as the solution.

In this system, we have 2 equations.  In the first one, we have no variables isolated.  In the second one, we have y isolated on the left side of the equal sign.  This means we can take what y equals (3x+2) and substitute that in for y in the first equation.

Hope this helps! :)

Answer:

10

Step-by-step explanation:

2x = 2(-10 + 2x)

x = -10 + 2x

-x = -10

x = 10

Answer:

10

Step-by-step explanation:

Multiply the smaller line by 2

which is RS

2x = -20 + 4x

-2x = -20

x = 10

[tex]f(x)=7\cos(2x)\hspace{5em}f\left( -\frac{\pi }{4} \right)=7\cos\left( -\frac{\pi }{4} \right) \\\\\\ f\left( -\frac{\pi }{4} \right)=7\left( \frac{\sqrt{2}}{2} \right)\implies f\left( -\frac{\pi }{4} \right)=\cfrac{7\sqrt{2}}{2}[/tex]

The function [tex]y = e^4x[/tex] has a range of (0,∞). Here's why: The range of a function is the set of all possible output values.

To determine the range of a function, you must examine its graph or find the output for every input value.

In this case, [tex]y = e^4x[/tex] is an exponential function with a base of e, which is a constant that is approximately equal to 2.71828.

The exponential function [tex]y = e^x[/tex] is always positive.

Therefore, [tex]y = e^4x[/tex] will also be positive for all values of x.

As a result, the function's range will start at 0 and continue up to positive infinity, but will not include 0.This can be shown by graphing the function or plugging in various values of x to see what output values result. However, by knowing the properties of exponential functions, you can determine the range of[tex]y = e^4x[/tex] without graphing it.

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The product of (2x + 3) and [tex](4x^2 - 5x + 6) = 8x^3 + 2x^2 - 3x + 18.[/tex]

To find the product of (2x + 3) and (4x^2 - 5x + 6), we need to use the distributive property. We multiply each term in the first binomial by each term in the second binomial and then combine like terms.

Let's go through the steps:

1. Distribute the second binomial to each term in the first binomial:

  (2x + 3)(4x^2 - 5x + 6) = 2x(4x^2 - 5x + 6) + 3(4x^2 - 5x + 6)

2. Multiply each term in the first binomial by each term in the second binomial:

  = [tex](2x * 4x^2) + (2x * -5x) + (2x * 6) + (3 * 4x^2) + (3 * -5x) + (3 * 6)[/tex]

3. Simplify each term:

  = 8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18

4. Combine like terms:

  =[tex]8x^3 + (12x^2 - 10x^2) + (12x - 15x) + 18[/tex]

  = 8x^3 + 2x^2 - 3x + 18

Therefore, the product of (2x + 3) and (4x^2 - 5x + 6) is 8x^3 + 2x^2 - 3x + 18.

In general, to find the product of two binomials, you need to distribute each term from the first binomial to each term in the second binomial and then combine like terms. It's important to pay attention to the signs and simplify the resulting expression.

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Answer:

Answer 1008

Step-by-step explanation:

Answer:

(4 - π)r²

= 0.86 r²

Step-by-step explanation:

The radius of the circle = r

The diammeter of the circle = 2r

Area of circle = πr²

The side of the square = diammeter of the circle = 2r

The area of the square = (2r)² = 4r²

Area of shaded region = ar(square) - ar(circle)

= 4r² - πr²

= (4 - π)r²

= (4 - 3.14)r²

= 0.86 r²

The statements that are true are:

A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).

C. f(-1) = 6

To determine the truth of each statement, we need to analyze the given table of values for the function f(x).

A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).

The x-values listed in the table are -2, -1, 0, 1, 2, 3, 4, 5, and 6. These are the inputs for the function, and therefore, they represent the domain of f(x). Thus, statement A is true.

B. The range for f(x) is all real numbers.

Looking at the y-values listed in the table for f(x), we can see that the range of f(x) is from 5 to 13. It does not include all real numbers, so statement B is false.

C. f(-1) = 6

From the table, we can see that when x = -1, f(x) = 6. Thus, statement C is true.

D. f(5) = -2

There is no entry in the table for f(5), so we cannot determine the value of f(5) from the given information. Therefore, statement D is false.

In conclusion, the true statements are A and C.

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The solutions to the matrices are

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

The matrices

The dimensions of the matrices are

A = 2 by 3 i.e 2 rows and 3 columns

B = 3 by 2 i.e 3 rows and 2 columns

For the positions of the matrices, we have

A₂₁ = 4

B₁₂ = 8

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The correct match of the following item to their definitions are:

A writ authorizing or ordering someone to do something. The term frequently refers to a judge's writ authorizing law enforcement to conduct certain actions, such as making an arrest, searching a place, or seizing property.

A claim is to declare or insist that something is true, usually without giving any support or proof.

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The sequence of transformations that proves that the shapes are similar is given as follows:

B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5

First, we have that the orientation of the figure, hence it was reflected.

The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.

The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:

3/2 = 1.5.

Hence option B is the correct option for this problem.

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The expression, in terms of x and y, for the Total number of sweets in 3 boxes and 2 packets is 3x + 2y.

To find the total number of sweets in 3 boxes and 2 packets, we need to add the number of sweets in the boxes and the number of sweets in the packets.

Let's start by finding the number of sweets in 3 boxes. Since there are x sweets in each box, the total number of sweets in 3 boxes would be 3x.

Next, let's determine the number of sweets in 2 packets. If there are y sweets in each packet, the total number of sweets in 2 packets would be 2y.

To find the total number of sweets in 3 boxes and 2 packets, we can add the two quantities we calculated:

Total number of sweets = 3x + 2y

So, the expression, in terms of x and y, for the total number of sweets in 3 boxes and 2 packets is 3x + 2y.

This expression represents the combined count of sweets from the boxes and packets, accounting for the given variables x and y.

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[tex]P=100\left( \frac{1}{2} \right)^{\frac{t}{30000}} \\\\[-0.35em] ~\dotfill\\\\ \boxed{A}\\\\ t=20000\hspace{5em}P=100\left( \frac{1}{2} \right)^{\frac{20000}{30000}}\implies P=100\left( \frac{1}{2} \right)^{\frac{2}{3}}\implies P\approx 63.0 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\\\\ P=40\hspace{5em}40=100\left( \frac{1}{2} \right)^{\frac{t}{30000}}\implies \cfrac{40}{100}=\left( \cfrac{1}{2} \right)^{\frac{t}{30000}}\implies \cfrac{2}{5}=\left( \cfrac{1}{2} \right)^{\frac{t}{30000}}[/tex]

[tex]\cfrac{2}{5}=\left( \cfrac{1}{2} \right)^{\frac{1}{30000}t}\implies \log\left( \cfrac{2}{5} \right)=\log\left[ \left( \cfrac{1}{2} \right)^{\frac{1}{30000}t} \right] \\\\\\ \log\left( \cfrac{2}{5} \right)=t\log\left[ \left( \cfrac{1}{2} \right)^{\frac{1}{30000}} \right]\implies \cfrac{\log\left( \frac{2}{5} \right)}{\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{30000}} \right]}=t\implies 40000\approx t[/tex]

Answer:

THE FOLLOWING MEASURES ARE TRUE FOR THE QUILT:

1. a = 60°

3. The perimeter of the rhombus is 16 inches.

5. The length of the longer diagonal is approximately 7 inches

Step-by-step explanation:

I have attached the picture describing the rhombus.

One by one we will check all the options:

As we can see that:

a+30°=90°

a = 90-30

1) a= 60° which is true

Taking the triangle with the perpendicular x, and using pythagoras theorem, we get:

=16-4 = 12

x= =3.46 ≠3

So option 2, is not true.

The algebraic expression (3x² - 6x)/(x² - 6x + 9) × (x² - x - 6)/(x² - 4) can be simplified to give 3x/(x - 3) which makes the option D correct.

Simplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.

Simplifying the algebraic expression we have:

(3x² - 6x)/(x² - 6x + 9) × (x² - x - 6)/(x² - 4)

by factorization;

3x² - 6x = 3x(x - 2)

x² - 6x + 9 = (x - 3)(x - 3)

x² - x - 6 = (x - 3)(x + 2)

x² - 4 = (x + 2)(x - 2)

(3x² - 6x)/(x² - 6x + 9) × (x² - x - 6)/(x² - 4) = 3x(x - 2)/(x - 3)(x - 3) × (x - 3)(x + 2)/(x + 2)(x - 2)

cancel out common factors we have;

(3x² - 6x)/(x² - 6x + 9) × (x² - x - 6)/(x² - 4) = 3x/(x - 3)

Therefore, the algebraic expression (3x² - 6x)/(x² - 6x + 9) × (x² - x - 6)/(x² - 4) can be simplified to give 3x/(x - 3)

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The solution to the inequality x^3 + x^2 ≤ 10x - 8 is x ≤ -2 or -1 ≤ x ≤ 1.

To find the solution to the inequality x^3 + x^2 ≤ 10x - 8, we need to determine the values of x that satisfy this inequality. Let's break down the problem step by step.

First, let's bring all terms to one side of the inequality to get a cubic equation: x^3 + x^2 - 10x + 8 ≤ 0.

To solve this inequality, we can employ various methods, such as graphing, factoring, or using calculus. However, since the degree of the polynomial is relatively low, we can use a simpler approach.

We start by finding the critical points where the polynomial changes its behavior. To do this, we set the equation equal to zero: x^3 + x^2 - 10x + 8 = 0.

Next, we can use synthetic division or long division to find the factors of the polynomial. By performing this calculation, we find that x = -2 is a factor. Using synthetic division again, we can divide the polynomial by (x + 2) to obtain a quadratic equation: (x + 2)(x^2 - x + 4) = 0.

Setting each factor equal to zero gives us two additional solutions: x = 1 ± √15i. However, since we are dealing with a real-valued inequality, we only consider the real solutions. Therefore, x = -2 is the only real root.

Now, we have identified the critical point x = -2. We can plot this on a number line and choose test points within each interval to determine if they satisfy the inequality. By evaluating the inequality for these test points, we find that the solution is x ≤ -2 or -1 ≤ x ≤ 1.

To summarize, the solution to the inequality x^3 + x^2 ≤ 10x - 8 is x ≤ -2 or -1 ≤ x ≤ 1.

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The phrase "well-ordered by ∈" refers to a specific kind of ordering or relation on a set using the element-of symbol (∈). In set theory, the symbol "∈" represents membership, indicating that an element belongs to a set.

A well-ordering is a particular type of total order, where every non-empty subset of the set has a least element. In other words, for any subset of the set, there is always a smallest element in that subset according to the ordering relation.

When we say that a set is "well-ordered by ∈," it means that the elements of the set are arranged in a specific order such that the membership relation (∈) satisfies the properties of a well-ordering. This implies that every non-empty subset of the set has a smallest element with respect to the membership relation (∈).

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The gap in the histogram tells her that she did not earn any wages that week.

A histogram is a graphical data representation that reveals a dataset's distribution. It consists of a sequence of bars, where the height of each bar denotes the frequency or count of data points falling inside a given range and the width of each bar denotes a range of values.

Alexandra's pay histogram shows a gap from 21 to 30, which indicates that she did not work that week. This is so because no wages in the range of 21 to 30 are recorded in the histogram, which displays the amount she made each week.

It's possible that Alexandra was on vacation or ill and unable to work that week. Whatever the cause, the histogram gap indicates that she did not get any pay that week.

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Answer:

Both are incorrect

Step-by-step explanation:

In the right triangle ΔABC, ∠ABC = 90 and two angles = 45,

∠ACB = ∠BAC = 45

Therefore, the sides opposite to these angles are equal

⇒ x = z

By  Pythagorean theorem,

x² + z² = y²

⇒ x² + x² = y²

⇒ 2x² = y² -----eq(1)

In the right triangle ΔABD,

∠ADB = 90

∠BAD = 45 (since ∠BAC = 45)

⇒ ∠ABD = 180 - 90 - 45

⇒ ∠ABD = 45

Since ∠BAD = ∠ABD = 45, the sides opposite to these angles are equal

⇒ AD = 3

Also since ΔABC is an isoceles triangle, BD bisects AC

⇒ AD = DC = AC/2 = y/2

⇒ y/ 2 = AD

⇒ y = 2AD

⇒ y = 2(3)

⇒ y = 6

From eq(1)

2x² = y²

⇒ 2x² = 6²

⇒ x² = [tex]\frac{6^2}{2}[/tex]

⇒ [tex]x = \sqrt{\frac{6^2}{2} }[/tex]

⇒[tex]x = \frac{6}{\sqrt{2} }[/tex]

and

[tex]z= \frac{6}{\sqrt{2} }[/tex]

A correct pairing of possible null and alternative hypotheses for this experiment could be:

Null Hypothesis (H0): The new diabetes medication has no effect on the participants' glucose levels.

Alternative Hypothesis (H1): The new diabetes medication has a significant effect on reducing the participants' glucose levels.In hypothesis testing, the null hypothesis (H0) represents the default assumption or the statement of no effect or no difference. In this case, the null hypothesis states that the new diabetes medication has no effect on the participants' glucose levels. It assumes that there is no difference between the placebo group and the group receiving the new drug.

On the other hand, the alternative hypothesis (H1) represents the claim or the statement of an effect or a difference. In this case, the alternative hypothesis states that the new diabetes medication has a significant effect on reducing the participants' glucose levels. It suggests that there is a difference between the placebo group and the group receiving the new drug, indicating that the medication has a measurable impact on glucose levels.

By setting up these null and alternative hypotheses, Martina can conduct statistical tests and analyze the data to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis, providing evidence for the effectiveness of the new diabetes medication.

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Answer:

The answer is 692

Step-by-step explanation:

a₁₇ = 72, a₅₁ = 208

aₙ = a + (n-1)d

a₁₇ =a + 16d = 72→ 1

a₅₁ = a + 50d = 208 →2

2-1

34d = 136

d= 4

a₁₇ = a + 16d = 72

72 = a + 64

a = 8

a₁₇₂ = a + (172-1)4

a₁₇₂ = 692

The best answer choice among the given options is O 15 m², as none of the provided options match the correct Ccalculation.

To find the area of a rhombus, we need the lengths of the diagonals. In this case, the lengths of the diagonals are not provided. However, we can use the given information to determine the area based on the side lengths.

A rhombus is a quadrilateral with all sides of equal length, so the given side lengths of 5.5 m and 2 m can help us find the area.

We know that the diagonals of a rhombus bisect each other at right angles, dividing the rhombus into four congruent right triangles. Each side of the rhombus is the hypotenuse of one of these triangles.

Given that the side length is 5.5 m, we can consider one of these right triangles. One leg of the right triangle is half of the side length, which is (5.5 m)/2 = 2.75 m. The other leg of the triangle is the length of the diagonal, which is unknown.

Using the Pythagorean theorem, we can find the length of the diagonal:

(diagonal)^2 = (leg)^2 + (leg)^2

(diagonal)^2 = (2.75 m)^2 + (2 m)^2

(diagonal)^2 = 7.5625 m² + 4 m²

(diagonal)^2 = 11.5625 m²

diagonal ≈ √11.5625 m ≈ 3.4 m (rounded to the nearest tenth)

Since the diagonals of a rhombus are perpendicular bisectors of each other, the length of the other diagonal would also be approximately 3.4 m.

Now, we can calculate the area of the rhombus using the formula: area = (diagonal1 * diagonal2) / 2

area = (3.4 m * 3.4 m) / 2

area = 5.8 m²

The area of the rhombus is approximately 5.8 m².

The best answer choice among the given options is O 15 m², as none of the provided options match the correct area calculation.

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