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If i get the correct answer with and step by step
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A. 28
B. 20
C. 200
D. 192

In simple interest calculations, the interest remains the same throughout the loan term, and it is calculated based on the initial principal. In this case, the interest accrued each year will be the same, amounting to $5136 over 8 years.

To calculate the total interest paid on the loan, we can use the formula for simple interest:

Interest = Principal x Rate x Time

In this case, the principal (P) is $17,700. The rate (R) is 3.625% expressed as a decimal, which is 0.03625. The time (T) is 8 years.

Using the formula, we can calculate the interest:

Interest = $17,700 x 0.03625 x 8 = $5136

Therefore, the total interest paid on the loan is $5136.

The rounding was not necessary in this case since the answer is already provided to the nearest cent, which is $5136.

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Check the picture below.

now, keeping in mind that ratio of the sides is the same as the ratio of the perimeters.

\(\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides}{\cfrac{6}{9}}~~ = ~~\stackrel{perimeters}{\cfrac{20}{p}}\implies \cfrac{2}{3}=\cfrac{20}{p}\implies 2p=60 \\\\\\ p=\cfrac{60}{2}\implies p=30 \\\\[-0.35em] ~\dotfill\)

\(\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides^2}{\cfrac{6^2}{9^2}}~~ = ~~\stackrel{areas}{\cfrac{A}{45}}\implies \cfrac{36}{81}=\cfrac{A}{45}\implies \cfrac{4}{9}=\cfrac{A}{45} \\\\\\ 180=9A\implies \cfrac{180}{9}=A\implies 20=A\)

Answer:

310

Step-by-step explanation:

Answer: 310

Step-by-step explanation: 2% equals 10, so just keep counting up until you get 62%.

Hopefully this helped! :D

Answer:

238

Step-by-step explanation:

First, you must find the ratio between the one measurement of the larger octagon and the smaller octagon. Just divide 28 by 4 to get 7. This is what you have to multiply the perimeter by to get the larger octagon's perimeter.  34 times 7 equals 238. There are multiple ways to do this problem but this way is the simplest. If this helped you, please click the "Thanks" button!

Answer:

So, for two triangles to be similar, they must have the same 3 angle measures,   but their size is usually different. Thus, it is the same shape, but in a smaller size. According to SAS, the Side Angle Side similarity theorem, two triangles are similar if the attached sides have the same angle. In this case, both triangles have a 90 degree angle, so in order for them to be similar the adjacent sides of on each triangle must be similar- in the same position relative to the common angle of the other shape.

The correct answer would be the third option down:   AC/ GI = HI/ BC

Step-by-step explanation:

To prove that the triangles are similar by the SAS similarity theorem, it needs to show that AC/ GI = BC / HI

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

We have to prove the similarity ΔACB and ΔGIH

Now, to prove the similarity of triangles  by SAS we need the following parts as

<C = < I

AC/ GI = BC / HI

which makes the SAS similarity criteria.

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Answer:

Correct answer of 464657474+64736825483 is 65201482957

Answer:16.

Step-by-step explanation: We will call the length of the shorter piece x.

The other side will now be 22 - x.

One piece is 4 cm longer than twice the length of the shorter piece, so 4 + 2x.

Then we have: 22 - x = 2x + 4.

Now just solve for x!

22 - x = 2x + 4

18 = 3x

6 = x, which is the shorter piece.

As before, 22 - x is the longer piece, and since we have x, just plug in for x.

22 - 6 = 16.

The equation of the parabola, with vertex at (2 , 4) and focus (1 , 4) is y² + 4x - 8y + 8 = 0.

We use the basic definitions and terms related to a parabola on an x-y plane, to write the equation of the parabola.

Vertex is known as the epicenter of the parabola, where the curve attains a peak, minimum or maximum.

Focus is a representation of the shape of the parabola and is equidistant from the vertex as is the directrix.

Directrix is a line perpendicular to the axis of the parabola, as mentioned earlier, equidistant from the vertex.

(A diagram with representation has been given below)

Now, moving to the question,

Vertex = (2,4)

Focus = (1,4)

The slope of the line passing through them, the axis is:

m = (y₂ - y₁)/(x₂ - x₁)

m = (4 - 4)/(2 - 1)

m = 0

Which means the axis is parallel to the x-axis.

For a parabola with an axis parallel to the x-axis, vertex at (h , k), and focus lying to the left of the vertex,

(y - k)² = -4*a*(x - h)

where a is the distance between the focus and the vertex.

Here,

a = √[(2 - 1)² + 0²]              (From distance formula)

a = 1

(h , k) = (2 , 4)

Thus,

(y - 4)² = -4*1*(x - 2)

y² + 16 - 8y = -4x + 8                     (Expansion)

y² + 4x - 8y + 8 = 0

So, the final equation of the parabola is y² + 4x - 8y + 8 = 0.

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The true statement about the function is that (c) the domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

The complete question is added at the end of this solution

From the complete question, we have the following equation

f(x) = g(x)/h(x)

The above equation means that

The function f(x) is the quotient of the functions g(x) and h(x)

For the function f(x) to have real values, the function h(x) must not equal 0

i.e. h(x) ≠ 0

This is so because

A number or an expression divided by 0 is not a real number

Hence, the true statement is that the domain of f(x) consists of all values of x where h(x) does not equal 0.

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Complete question

which of the following statements is true about a rational function of the form where g and h are polynomial functions?

A. If the rational function has a removable discontinuity, then it cannot have a vertical asymptote. g(x)

B. The rational function f(x) h(x) will have a removable discontinuity at x = a if g(a) = 0. g(x)

C. The domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

D. If the rational function has a removable discontinuity, then it cannot have a horizontal asymptote.

The value of quadratic function is,

⇒ y = 9x² + 54x - 63

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ y = 9 (x - 1) (x + 7)

Now, We can find the quadratic equation as;

⇒ y = 9 (x - 1) (x + 7)

⇒ y = 9 (x² + 7x - x - 7)

⇒ y = 9 (x² + 6x - 7)

⇒ y = 9x² + 54x - 63

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Answer:

Length = 22 ; width = 10

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 64 feets

Length = 2 + (2*width)

Let :

Length = l ; width = w

Perimeter = 2((2 + (2w)) + w)

64 = 2(2 + 3w)

64 = 4 + 6w

64 - 4 = 6w

60 = 6w

w = 60/6

w = 10

Width = 10

Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22

Answer:

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(1,2)

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

Answer:

(3,0)

Step-by-step explanation:

A residual is the difference between "the measured and predicted values of the quantity of interest".

In regression analysis, a residual would be the difference between an observable and anticipated value.

The formula is;

Residual = Observed value – Predicted value

Some key features regarding the residuals are-

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The resulting index value represents the position of the desired element in a hypothetical one-dimensional array formed by collapsing all the dimensions of the original multidimensional array into a single dimension.

The equivalent single-dimensional index for accessing the element ar[29][1][3][0][17][20] in the array int ar[45][14][10][10][43][50] can be calculated as follows:

First, we need to determine the number of elements before the desired element in each dimension. Starting from the outermost dimension:

The size of the first dimension is 45, so there are 45 elements in each block of size 14x10x10x43x50.

The size of the second dimension is 14, so there are 14 elements in each block of size 10x10x43x50.

The size of the third dimension is 10, so there are 10 elements in each block of size 10x43x50.

The size of the fourth dimension is 10, so there are 10 elements in each block of size 43x50.

The size of the fifth dimension is 43, so there are 43 elements in each block of size 50.

The size of the sixth dimension is 50.

To calculate the equivalent single-dimensional index, we multiply the number of elements in each dimension by the respective size of the block and sum them all together. In this case, it would be:

Index = (29 * (14 * 10 * 10 * 43 * 50)) + (1 * (10 * 10 * 43 * 50)) + (3 * (10 * 43 * 50)) + (0 * (43 * 50)) + (17 * 50) + 20

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Here are the calculations for the given scenarios with distances using the terms "Distance".

A bird starts at 20 meters and changes 16 meters. The total distance traveled by the bird is 36 meters.A butterfly starts at 20 meters and changes -16 meters.

The total distance traveled by the butterfly is 4 meters.A diver starts at 5 meters and changes -16 meters. The total distance traveled by the diver is 11 meters

.A whale starts at -9 meters and changes 11 meters.

The total distance traveled by the whale is 2 meters.A fish starts at -9 meters and changes -11 meters.

The total distance traveled by the fish is 20 meters.

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Answer:

Step-by-step explanation:

8x+16 i think

Answer:

8(x+2) or 8x+16 most likely 8x+16

To find the opposite of 4x−12, find the opposite of each term.

The opposite of −12 is 12.

Combine 12x and −4x to get 8x.

Add 4 and 12 to get 16.

Step-by-step explanation:

pls, tell me if wrong have a good day/night<3

1) associative property of addition

2) associative property of multiplication

3) distributive property

4) commutative property of multiplication

5) associative property of addition

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Answer:

-5

Step-by-step explanation:

The axis of symmetry is the x- axis of the vetex.

Answer:

wait what is that what the question ask you to do

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

Answer:

x = 16, y = 23

Step-by-step explanation:

Consider angles related to the parallel lines and the left transversal

4x + 4 and 7x - 44 are alternate exterior angles and congruent , thus

7x - 44 = 4x + 4 ( subtract 4x from both sides )

3x - 44 = 4 ( add 44 to both sides )

3x = 48 ( divide both sides by 3 )

x = 16

----------------------------------------------------------

Consider angles related to the parallel lines and the right transversal

39 and 8y - 43 are same- side exterior angles and supplementary, thus

39 + 8y - 43 = 180 , that is

8y - 4 = 180 ( add 4 to both sides )

8y = 184 ( divide both sides by 8 )

y = 23

Answer:

3 bottles

Step-by-step explanation:

you equation is 7x-5=16

you add 5 to both sides which gets you 7x=21

then you divide 7 by both sides that gets you x=3

Answer: f(-2) = - 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The composition of functions (fog)(x) and (gof)(x) can be calculated as (fog)(x) = x and (gof)(x) = x. Therefore, (fog)(x) is equal to (gof)(x).

To find (fog)(x), we substitute g(x) into f(x), which gives us (fog)(x) = f(g(x)). Plugging in g(x) = ¹³√x into f(x) = x¹³, we get (fog)(x) = (¹³√x)¹³ = x.

To find (gof)(x), we substitute f(x) into g(x), which gives us (gof)(x) = g(f(x)). Plugging in f(x) = x¹³ into g(x) = ¹³√x, we get (gof)(x) = (¹³√(x¹³)) = x.

Since (fog)(x) = (gof)(x) = x, we can conclude that the compositions are equal.


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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }