Rierda Elwynn Garvey takes home $1250 each month. In addition to other expenses, she also makepayments to her debt of $230 per month. What is her Debt Payments to Income Ratio?

what is the equation?

a) y = 2x

x y

1 2(1) = 2

2 2(2) = 4

3 2(3) = 6

4 2(4) = 8

5 2(5) = 10

b) y = x - 2

x y

2 2 - 2 = 0

3 3 - 2 = 1

4 4 - 2 = 2

5 5 - 2 = 3

6 6 - 2 = 4

a) line a

line b

c)

y = 3x + 2

x y

1 3(1) + 2 = 5

2 3(2) +2 = 8

3 3(3) + 2 = 11

4 3(4) + 2 = 14

5 3(5) + 2 = 17

line d

y = 5x - 3

x y

0 5(0) - 3 = -3

2 5(2) - 3 = 7

4 5(4) - 3 = 17

6 5(6) - 3 = 27

The simple interest is given by:

where P is the principal (the amount we invest in the account), r is the interest rate and t is the time of investment.

Let P be the interest Larry made in the 2% account, the simple interest in this case is given by:

Now for the second account we would have an envestment of (17000-P), then the simple interest have to be:

and we know that both investments have to be equal to 610, then we have:

Therefore Larry invested $8000 in the 2% account and $9000 in the 5% account.

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

Where

Thus,

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

Thus, from the theorem of similar triangles,

solving for y, we have

thus, YC = 10.

By definition, in a Geometric sequence the terms are found by multiplying the previous one by a constant. This constant is called "Common ratio".

In this case, you know these values of the set:

Notice that you can set up this set with the value given in the first option:

Now you can check it there is a Common ratio:

The Common ratio is:

Therefore, it is a Geometric sequence.

Apply the same procedure with each option given in the exercise:

- Using

You can notice that it is not a Geometric sequence, because:

- Using

Since there is no Common ratio, if you use the value given in the third option, you don't get a Geometric sequence.

- Using this set with the values given in the last option:

You get:

It is not a Geometric sequence.

The answer is: First option.

Recall that:

Therefore Daisy pays:

in taxes for the videogame.

Now, recall that to determine the percentage that a represents from b we use the following expression:

Therefore, the sales tax applied to the videogame is:

percent.

Answer: The tax applied to the videogame is 17.81%, in this case, the sales tax is 3.74 dollars.

Let's begin by listing out the information given to us:

Left side: y = 2x + 8

Center of the bridge: (0, 2)

Use the point-slope formula to get the equation of the bridge:

ANSWER:

76.8

STEP-BY-STEP EXPLANATION:

Given:

3 Assignments (2%)

1. 72%

2. 84%

3. 58%

1 Test (20%)

85%

1 Test (15%)

68%

We can calculate Emily's current grade using the weighted average principle, just like this:

In this case, the value of x are the scores and w are the percentages associated with that value, we replace:

Therefore, Emily's current grade is 76.8%.

We are given the following equation of a circle.

The standard form of the equation of a circle is given by

Comparing the given equation with the standard form we see that

Therefore, the center of the circle is

Therefore, the radius of the circle is

Considering buying a home for $364,000 and paying 5% down payment.  The amount to be paid for loan is going to be $345 800

The following is gotten from the question:

cost of the home = $ 364 000

percentage to pay as down payment = 5 %

Solving for the down payment

The down payment refers to the initial payment and is a percentage, We convert the percentage to decimal as follows

5 % = 5 / 100

= 0.05

The percentage of the money is calculated by multiplying as follows

5 % of $364 000

= 0.05 * 364 000

= $18 200

Solving for the loan amount

The loan amount is calculated by subtracting the down payment from  the cost of home

= cost of the home - down payment

= $ 364 000 - $ 18 200

= $ 345 800

Conversion from percentage to decimal followed by multiplication helped to get the down payment, then subtracting the down payment from  the cost of home helped to get the loan amount to be $345 800

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

∆ABC~∆DEF

triangle 1:

AC = 10

area = 65 in²

triangle 2:

DF = 20

area = ?

Step 02:

We must apply the rules of similar triangles to find the solution. .

triangle 2 area * 10 = 65 in² * 20

triangle 2 area = (65 in² * 20 ) / 10

= 130 in²

The answer is:

The area of the big triangle is 130 in² .

To find 27% of 16 using multiplication by a decimal, we can proceed as follows:

First, convert the number 27 in decimal:

A way to estimate the possible value, we can multiply the number 16 by the nearest tenth, that is, 0.3. We know that the possible value is a little greater than the actual value.

We can do this in the following way:

Then, after the estimation, we can say that the value must be less than 4.8. Multiplying by 3 or 30 is easier than by 27. This is a way to check the answer.

We can also say that if we multiply 16 by 3 is 48 (equivalently to 4.8, after doing the correct operations), and this is a quick value to know, that, approximately 4.32 is 27% of 16.

2 + m > 10

substituting with m = 7, we get:

2 + 7 > 10

9 > 10

which is false, because 9 is less than 10

Answer: 900

Step-by-step explanation:

Column method

total square feet:

square feet 1:

The complete trigonometry ratios are sin(220) = -sin(40) and cos(220) = cos(140) and the angles are 40 and 220 degrees

Angle 1

The trigonometry ratio of the angle is given as

sin(220)

Expand the above expression

sin(220) = sin(180 + 40)

Apply the sine rule

sin(220) = sin(180)cos(40) + cos(180)sin(40)

Evaluate the ratios

sin(220) = 0 x cos(40) - sin(40)

So, we have

sin(220) = - sin(40)

So, the measure of the angle is 40 degrees

Angle 2

The trigonometry ratio of the angle is given as

cos(220)

Expand the above expression

cos(220) = cos(360 - 140)

Apply the cosine rule

cos(220) = cos(360)cos(140) + sin(140)sin(360)

Evaluate the ratios

cos(220) = 1 x cos(140) + sin(140) x 0

So, we have

cos(220) = cos(140)

So, the measure of the angle is 140 degrees

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For solving this question, you should apply the equation:

The question gives

Next step - replace the values in the equation

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Triangle YXZ

Triangle AXB

Similar Triangles = ?

Step 02:

Similar Triangles

AB || YZ

The Side-Splitter Theorem:

AB || YZ ===> XY/ YA = XZ / ZB

The answer is:

The triangles are similar, by the Side-Splitter Theorem.

The correct answer is the last sentence.

"The median shoe size for Mrs. Norris's class is greater than for

Mrs. Ganger's class".

SOLUTION

Given the question in the question tab, the following are the solution steps to get the ratio of Trumpets to violins

Step 1: Write the given data

40 trumpets

39 clarinets

24 violins

51 flutes

16 trombones

Step 2: Write the ratio of trumpets to violins

Trumpets=40

Violins=24

Hence, the ratio of trumpets to violin in its simplest from is:

Given the number of sides of a pentagon:

Number of sides = 5

Let's find the sum of the measures of the 5 equal angles.

To find the sum of the measures of interior angles of a polygon, apply the formula:

Where:

n is the number of sides = 5

Thus, we have:

Therefore, the sum of the interior angles of the pentagon is 540 degrees.

ANSWER:

540°

Answer: [tex]-1[/tex]

Step-by-step explanation:

Using the quotient rule,

[tex]h'(x)=\frac{2f(x)g'(x)-2g(x)f'(x)}{(2f(x))^2}\\\\h'(3)=\frac{2f(3)g'(3)-2g(3)f'(3)}{(2f(3))^2}\\\\=\frac{2(-2)(-1)-2(3)(2)}{2(-2)^2}\\\\=-1[/tex]

For the question, we will be making a sketch showing the features in the question.

From the sketch and the question, the angle of depression = 34 degrees

The helicopter height above the ground (altitude) = 1,748 ft

L represents the landmark

x = horizontal distance from the helicopter to the landmark

To solve the question, we need to bring out the right triangle from the sketch

Angle e = 34 degrees (alternate to the angle of depression given)

To get x, we make use of the trigonometrical ratio of tan

Therefore, the horizontal distance from the helicopter to the landmark to the nearest foot is 2592 feet.

The Solution:

Given the equation below:

We are asked to say what we know about the value of c.

From the above equation, it is clear that:

c is a variable that depends on the values of the variables x and y.(where a and b are possibly constants.

Consider a quadratic expression, let "m" and "n" represent the factors.

The diamond method of factoring is the following:

On the left of the diamond, there is one of the factors, for example, "m", of the right of the diamond you will find the other factor "n".

On the top of the diamond, you will find the product of both factors, on the bottom of the diamond you will find the sum of the factors.

Looking at the given diamond, you know the result of the product and the sum of both factors:

Using these expressions, you can find both factors.

- First, write the second expression for one of the variables, for example, for "n"

- Second, replace the expression obtained on the second equation:

Distribute the multiplication

Zero the expression and order the terms from greatest to least:

- Third, use the quadratic expression to determine the possible values of n:

Where

a is the coefficient of the quadratic term

b is the coefficient of the x-term

c is the constant

For the quadratic expression obtained, where "n" represents the x-variable.

The coefficients are:

a= -1

b=14

c=15

Solve the sum and difference separately to determine both possible values for "n"

→Sum:

→Difference:

- Finally, determine the possible value/s of m:

For n=-1

For n=15

So, the factors are -1 and 15 and the diamond is:

Given:

And angle M and N are angles in a linear pair.

Required:

To find the angle N.

Explanation:

The sum of angles of a linear pair is always equal to 180°.

Therefore,

Final Answer:

We have the following parameters

the general equation of a circle with center (0,0) is the following,

Let's use the following tigonometric identity,

solving for cos and sin in the equations we are given,

replace,

Since we have two different numbers in the denominator, this is not a circle equation but an elipse, of the form,

where,

a is the vertex and,

b is the covertex

thus, in the x axis, the vertex is 7 and the y-axis the covertex is 5

Now, let's determine the direction by replacing

when Θ = 0 , then x = 7*cos0 = 7*1 = 7 , and y = 5*sin0 = 5*0 = 0

when Θ = 90° or π/2 , then x = 7*cos90° = 7*0 = 0 , and y = 5sin90° = 5*1 = 5

If we draw this, we can see that the direction is counterclockwise as in the bottom right image.

hello

the question here requires the subtraction of polynomials

if we are to do this, we have to subtract the polynomials based on their degree

this would be equal to

the above polynomial is the result after subtraction, but we can as well, decide to multiply through by -1, to make or eilimate the negative sign on the second degree polynomal

Let's begin by identifying key information given to us:

Therefore, D is the correct answer

Given:

The adjacent angles of a parallelogram are 78 and x+10.

To find:

The value of x.

Explanation:

We know that,

The sum of the adjacent angles in a parallelogram is supplementary.

So, we can write,

Thus, the value of x is 92.

Final answer:

The value of x is 92.