Cindy is attempting to calculate how much her car payment would be for a car that costs $27,000 to be repaid with monthly payments in 4 years at 4% APR.

Where, if at all, has Cindy made a mistake(s)?

Correct Cindy’s mistake(s). (Spoiler for part a, yes, she made several mistakes.)

What would the answer actually be?

The area of the polygon EFG with given vertices is, 7.5 units.

What is area of triangle?

The area of a triangle is the area that it completely encloses in a two-dimensional plane. A triangle is a closed shape that, as we all know, has three sides and three vertices. As a result, the total area occupied by a triangle's three sides is known as its area. The general formula for calculating a triangle's area is the product of the triangle's base and height divided by half.

Let the given vertices are,

E(3, 1), F(3, -2), G(-2, -2)

There are three vertices, so the polygon is a triangles.

Since,

Area of triangle = 1/2 x base x height.

If we draw the given vertices on the coordinate plane then the base is FG and the height of the triangle is EF.

Now to find the lengths of side FG and EF.

By using the distance formula,

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\EF =\sqrt{(3-3)^2+(-2-1)^2} = \sqrt{9} = 3\\ FG = \sqrt{(-2-3)^2 + (-2-(-2))^2} = \sqrt{25+0} = 5[/tex]

⇒ Area = 1/2 x 5 x 3

             = 1/2 x 15

    Area = 7.5

Hence, the area of the polygon EFG is 7.5 units.

To know more about area of triangle, click on the link

https://brainly.com/question/17335144

#SPJ4

The function f(x) is represented by the graph attached below. The domain of the graph is given by [-5,5] or {x | -5 ≤ x ≤ 5 ,x ∈ R} .

A function's domain in mathematics is the set of potential inputs that it can take. It can also be written as b, where f is the function.

Formally speaking, X is the domain of f given a function. It is important to note that, in terms of contemporary mathematics, a function's domain is a part of its definition rather than a property.

The function f can be graphed in the Cartesian coordinate system in the uncommon case where X and Y are both subsets of. In this instance, the function's graph, which is projected onto the graph's x-axis, serves as a representation of the domain.

A real function, f, may not be defined for all possible values of the variable if it is specified in a formula. The natural domain, also known as the domain de definition of f, is the set of real numbers to which the formula in this case can be evaluated to either a real number. It is common to refer to a partial function as just a function and its natural domain as just a domain.

To learn more about domain visit:

https://brainly.com/question/2709928

#SPJ4

Isosceles triangle problem can be solved by given steps

what is isosceles triangle ?

An isosceles triangle in geometry is a triangle with two sides that are the same length. Sometimes it is stated as having exactly two sides that are the same length, and other times it is specified as having at least two sides that are the same length, the latter form containing the equilateral triangle as a particular case.

explanation:

In isosceles triangle

1. Two sides of the triangle are congruent

2. The angle opposite those sides are congruent

x + 72 +72 = 180

             x  = 180 -144

             x = 36

Hence the isosceles triangle problem can be solved by above steps and explanation

To learn more about isosceles triangle from the given link

https://brainly.com/question/1475130

#SPJ4

Answer:

576 ft squared

Step-by-step explanation:

8 x 72 ft= 576 total area

Hope this helps!

The multiples of a number are numbers found by multiplying the original number by any whole number. Prime multiples are number which multiply each other and form a prime

What are Prime Numbers ?

A prime number is a number that is only divisible by 1 and itself. So, prime numbers have only two factors, 1 and the number itself.

This means these numbers cannot be divided by any number other than 1 and the number itself without leaving a remainder.

Numbers that have more than 2 factors are known as composite numbers.

For example :

The factors of 3 are 1 and 3.

Therefore, the prime multiples of 3 are 1 and  3.

Learn more about Prime Multiples at :

https://brainly.com/question/29549643

#SPJ4

The fraction 5 2/3 - 3 3/4 is not equal to 1+ 2/3 + 3/4.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, 5 2/3 - 3 3/4 will be:

= 5 2/3 - 3 3/4

= 5 8/12 - 3 9/12

= 1 11/12

Therefore 1 + 2/3 + 3/4

= 1 + 2/3 + 3/4

= 1 + 8/12 + 9/12

= 2 5/12

They are not the same.

Learn more about fraction on:

brainly.com/question/78672

#SPJ1

The slope of the perpendicular line to the equation 5x - 4y = -24, is: 4/5.

The slope values of two lines which lie perpendicular to each other on a coordinate plane are always negative reciprocals to each other.

Rewrite the equation, 5x - 4y = -24 in slope-intercept form:

5x - 4y = -24

-4y = 5x - 24

Divide both sides by -4

-4y/-4 = 5x/-4 - 24/-4

y = -5/4x + 6

The slope of y = -5/4x + 6 is -5/4. The negative reciprocal of -5/4 is 4/5. Thus, the slope of the line that is perpendicular to the equation of the given line is: 4/5.

Learn more about slope of perpendicular lines on:

https://brainly.com/question/1362601

#SPJ1

Answer: [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

Absolute value is always non-negative.

The area of triangle ABC is 18cm².

A triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees.

This property is called angle sum property of a triangle. A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

= 72*sin(75)*cos(75)

= 36*(2sin(75)cos(75))

= 36*sin(150)

=  18

In conclusion, the area of the triangle is 18cm².

Learn more about triangles:

https://brainly.com/question/21735282

#SPJ1

The author gives a detailed description of a healthy ecology D. To contrast how the town changed once the ecology was compromised with the use of harmful pesticides.

What is the ecology about?

Ecology also teaches us about the benefits of ecosystems and how to use the Earth's resources in a way that protects the environment for future generations. We can learn more about our surroundings thanks to the various fields of ecology, which include statistical ecology, marine ecology, and vegetation ecology.

With the help of this information, we can manage our natural resources, protect human health, and improve the environment. In this case, the author give a detailed description of a healthy ecology.

The correct option is D.

Learn more about ecology on:

https://brainly.com/question/29635307

#SPJ1

The area of the rectangular paper left after two semi circles are cut out of it is 186.96 cm².

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.

To caluculate the area of the paper that remains, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area of the paper left is 186.96 cm².

Learn more about rectangle here: https://brainly.com/question/25292087

#SPJ1

Answer: If two parallel lines are cut by a transversal, then corresponding angles are congruent.

Step-by-step explanation:

Answer: a polygon is a shape with at least three straight sides and angles, and typically five or more

Step-by-step explanation:

The value of the variables x and y are,

11) x = 13,  y = 18.4

12) x = 6.9,  y = 8.

What is right angle triangle?

A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.

11)Let the given triangle is a right angle triangle.

So we can use trigonometric ratio,

[tex]tan(45) = \frac{x}{13} \\x = 13(tan(45))\\x = 13[/tex]

Using this to find the value of y.

[tex]sin(45) = \frac{x}{y} \\sin(45) = \frac{13}{y} \\y = \frac{13}{sin(45)} \\y = 18.4[/tex]

So, the values of x and y are x = 13 and y = 18.4.

12) The given triangle is a right angle triangle.

So we can use trigonometric ratio,

[tex]tan(30) = \frac{4}{y}\\ y = \frac{4}{tan(30)} \\y = 6.9[/tex]

Now to find the value of x.

[tex]sin(30) = \frac{4}{x} \\x = \frac{4}{sin(30)} \\x = 8[/tex]

Hence, the values of x and y are, x = 6.9 and y = 8.

To know more about right angle triangle, click on the link

https://brainly.com/question/1248322

#SPJ4

The equation that best represents the area of the forest each year is A. y = 2,000(0.94)^x.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Since the certain forest covers an area of 2,000 square kilometers and each year, this area decreases by 6%.

The equation will be:

= 2000(1 - 6%)^x

= 2000(0.94)^x

In conclusion, the correct option is A.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

c = 5m + 30

Step-by-step explanation:

It is given that:

c = total amount of chickens.

m = total amount of months.

x = amount of chickens per month.

30 is the base amount that Junior will have no matter how much months have passed.

Plug in 4 for m (months), and 50 for c (total amount of chicken) in the given equation:

c = xm + 30

50 = x(4) + 30

50 = 4x + 30

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponent (& root)

Multiplication

Division

Addition

Subtraction

~

First, subtract 30 from both sides of the equation:

50 = 4x + 30

50 (-30) = 4x + 30 (-30)

50 - 30 = 4x

20 = 4x

Next, divide 4 from both sides of the equation:

(20)/4 = (4x)/4

x = 20/4

x = 5

The amount of chicken per month is 5.

Set the equation. Plug in 5 for x in the given equation:

c = xm + 30

c = 5m + 30

c = 5m + 30 is your answer.

Check. Plug in time per month and find the number of chickens:

Time in months = 0 ; Number of Chickens = 30

(30) = 5(0) + 30

30 = 0 + 30

30 = 30

Time in months = 4 ; Number of chickens = 50

(50) = 5(4) + 30

50 = 20 + 30

50 = 50

Time in months = 720 ; Number of chickens 3630

(3630) = 5(720) + 30

3630 = 3600 + 30

3630 = 3630

~

The used postulate is explained below.

What is congruent triangles?

Two triangles are stated to be congruent if the 3 facets and the 3 angles of each the angles are same in any orientation.

When angles and facet blanketed in among those angles of 1 triangle are identical as any other one, each those triangle are Congruent.

This standards of congruency is is aware of as ASA criterion as a facet blanketed among angles are all identical.

Two triangles are congruent, if angles and the facet blanketed among them in a single triangle is same to the 2 angles and the facet blanketed among them of the alternative triangle.

To know more about congruent triangles, click on the link

https://brainly.com/question/2938476

#SPJ4

Answer:3; the ride costs $3 per mile

Step-by-step explanation:

Rate of Change of the function is 3. then the ride costs $3 per mile.

The average Rate of Change of the function f(x) can be calculated as;

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]

We are given  the total cost of a ride-sharing trip, y, is a function of the distance traveled,

Distance (mi), Total Cost ($). y

2                       0

5                       1  

8                        2

11                       3

14                       4

Therefore,

Rate of Change of the function

(5 - 2) / (1- 0)

= 3 / 1

Hence, we can conclude that the ride costs $3 per mile.

Learn more about average rate;

https://brainly.com/question/20784578

#SPJ2

The range of a graph can be found using the values depicted on the y-axis.

According to the question,

We have the following information:

We have a graph and we need to know how do we find the range of that graph.

We know that the domain of a graph is the collection or in other words set of input values depicted on x -axis and the range of a graph is the set of possible output values portrayed on y-axis of the graph.

In noting down the range of a graph, we first list down the down value and then the up value or in other words we move from down to up in order to find the range of a graph.

Hence, the range of a graph can be found using the values depicted on the y-axis.

To know more about range here

https://brainly.com/question/2709928

#SPJ4

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a problem sum of division

Cost of 15 flowers = $200

Cost of 1 flower = $200 [tex]\div[/tex] 15 = $13.33

Cost of 5 flowers = $70

Cost of 1 flower = $70 [tex]\div[/tex] 5 = $14

So unit price of 15 flower arrangement of $200 is lower than unit price of 5 flower arrangement of $70

To learn more about division, refer to the link:

https://brainly.com/question/25289437

#SPJ4

Answer:

-2

Step-by-step explanation:

a is -3

d is -1

you subtract the two

-3 - (-1)

when you have two negatives they cancel each other out and become positive

-3 + 1

-3 + 1 = -2

that is your answer

Answer:

To find a polynomial, you must identify the terms, coefficients, and degrees. The degree of a polynomial is the highest exponent of the variable in the equation. The coefficients of a polynomial are the values that are multiplied by the variables. The terms of a polynomial are the pieces of the equation, including the coefficients and the variables. After identifying the terms, coefficients, and degree of the polynomial, you can write it in standard form.

Step-by-step explanation:

The shape of Keisha's rectangular shaped planter would be the shape with the dimensions shown in the image below.

The volume of a rectangular box = length × width × height.

The shape of the planter is a rectangular box.

Given that the rectangular shaped planter would be filled first by 4 in. of rocks, it means the height of the rectangular shaped planter that the rock will occupy up to would be 4 in.

Find the volume the rock would fill:

Volume occupied by the rocks in the rectangular shaped planter = (10)(10)(4) = 400 in.²

If the soil to be filled must be exactly 800 in.², then the total volume of the shape of the rectangular planter that would be used would be: 400 + 800 = 1,200 in.².

From the options given, the last shape that has a height of 12 in., length of 10 in, and width of 10 in will have a volume = (12)(10)(10) = 1,200 in.².

Therefore, the last shape in the diagram below could be the shape of Keisha's rectangular shaped planter.

Learn more about volume of rectangular box on:

https://brainly.com/question/8880159

#SPJ1

The variable in this expression 4b + 2b + 1⁄4 is b

From the question. we have the following expression

4b + 2b + 1⁄4

Take for instance, we have an expression

Ax

Where A is a number

It means that the expression x is a variable

This is so because the value of x can change

Similarly, the variable in 4b + 2b + 1⁄4 is b

This is so because the value of b can change

Read more about expressions at

https://brainly.com/question/4344214

#SPJ1

In order to show that △ ABC ≅ △ DEF by SAS congruence, we need the sides of triangles ABC and DEF with the angle between the respective sides.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. "" is the congruence symbol. When two figures are comparable to one another in terms of their size and shape, this is what mathematicians mean by congruence. In essence, there are four congruence principles that demonstrate if two triangles are congruent. However, locating all six dimensions is essential. As a result, the congruence of triangles can be assessed using just three of the six variables.

Congruency Requirements:

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

RHS (Right angle-Hypotenuse-Side) 

To learn more about congruency of the triangle, visit:

brainly.com/question/6108628

#SPJ4

There are 125 of the smallest cubes that will fill the largest cube using the size of their respective volume

The volume of cube is calculated by using a × a × a = a³ where "a" is the edge.

The volume of the smallest cube = 1.5inches × 1.5inches × 1.5inches

The volume of the smallest cube = 3.375inches³

The volume of the largest cube = 7.5inches × 7.5inches × 7.5inches

The volume of the largest cube = 421.875inches³

Thus, the number of the smallest cubes it would take to fill the largest cube is derived by

421.875inches³/3.375inches³ = 125.

Know more about volume here:https://brainly.com/question/1972490

#SPJ1

Total 56 pencils are needed for the exam.

Multiplication is one of the arithmetic operation used to find total numbers of items or things.

Given,

Total students in the classroom = 28

Total number of pencils needed by each student for the exam=2 pencils

Total number of pencils needed for the exam are,

= Total student ×  Number of pencils needed by each student

= 28 × 2

= 56 pencils

Hence , The total number of pencils needed by the students for the exam would be 56 .

Learn more about multiply:

https://brainly.com/question/620034

#SPJ1

The correct answer is the 5 ways to find if two triangles are congruent are SSS, SAS, ASA, AAS and HL.

Two triangles are congruent if and only if they have the same three sides and angles.

SSS (side, side, side): SSS, which stands for "side, side, side," denotes that there are two triangles with identical angles on all three sides. The triangles are congruent if their third sides are the same as those of another triangle.

SAS (side, angle, side): "Side, Angle, Side" stands for two triangles whose two sides and one included angle are known to be equal. The triangles are congruent if two sides and the included angle of one triangle equals the corresponding sides and angle of another triangle.

ASA (angle, side, angle): ASA, which stands for "angle, side, angle," denotes the existence of two triangles whose included side and two known angles are equal. The triangles are congruent if two angles and the included side of one triangle match the corresponding angles and side of another triangle.

AAS (angle, angle, side): AAS, which stands for "angle, angle, side," denotes the equality of the non-included side and two angles in two triangles. The triangles are congruent if two of one triangle's angles and its excluded side are equal to the corresponding angles and sides of another triangle.

HL (hypotenuse, leg): The two triangles are congruent if one right-angled triangle's hypotenuse and one of its legs are equal to its corresponding hypotenuse and leg in another right-angled triangle.

To know more about 'congruent' related questions

visit- https://brainly.com/question/7724981

#SPJ4

Step-by-step explanation:

2×length + 2×width = 204 cm

length = x

width = 3×(x + 2)

as consecutive even integers are always spaced out by 2 (2, 4, 6, ...).

we are using these 2 equations in the first main equation :

2×x + 2×3×(x + 2) = 204

2x + 6x + 12 = 204

8x + 12 = 204

8x = 192

x = 192/8 = 24

length = x = 24 cm

width = 3(x + 2) = 3×26 = 78 cm

Answer:

c=13.4

Step-by-step explanation: