4. Tanya Jackson bought a house and during the first year, was able to rent it for only 7 months at $620 a month. Though the house was vacant for 5 months, Tanya had to pay average expenses of $175 a month for the whole year. She also paid $3,600 in mortgage interest. a. For the first year, what was Tanya's gross income? b. What was her net income or net loss?​

Answer:

(-8.89, -26.69)

Step-by-step explanation:

To find the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1), we can use the following steps:

[tex]\sqrt{(2 - (-|a|))^2 + (1 - (-3|a|))^2} = 5\\\sqrt{(2 + |a|)^2 + (1 + 3|a|)^2} = 5[/tex]

[tex]a^2 + 8a - 8 = 0[/tex]

[tex]a = \frac{-8 ±\sqrt{8^2 - 4(1)(-8)}} {(2(1))}\\a = \frac{-8 ± \sqrt{96}}{ 2}\\a = -4 ± 2\sqrt{6}[/tex]

[tex]a = -4 - 2\sqrt(6)[/tex]

(x, y) =[tex](-|-4 - 2\sqrt(6)|, -3|-4 - 2\sqrt(6)|)[/tex]

(x, y) ≈ (-8.89, -26.69)

Therefore, the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1) is approximately (-8.89, -26.69).

According to the given condition. The inequality that matches this graph is option B) x ≥ -5.

An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

The inequality that matches this graph is option B, "x ≥ -5". The graph represents a solid dot at x = -5 and a shaded region to the right of x = -5, including x = -5. This means that x can take on any value greater than or equal to -5, so the inequality can be written as x ≥ -5.

Therefore, According to the given condition. The inequality that matches this graph is option B) x ≥ -5.

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Answer: median

Step-by-step explanation:

A is not a center of measure and nethier ia mode and since the data is skewd it is the median and if it is not skewd it is the mean

Answer:

4 cannot be written as a logarithm with a base of 4. A logarithm is an exponent that tells us how many times we need to multiply a base by itself to get a certain number. For example, log2(8) = 3 because 2^3 = 8. We can write this as an equation: logb(x) = y means b^y = x.

-4 cannot be written as a logarithm with a base of 4 because there is no exponent that can make 4 equal to -4. In other words, there is no y such that 4^y = -4. This is because any positive number raised to any power will always be positive. Therefore, log4(-4) is undefined or does not exist.

Therefore, -4 cannot be written as a logarithm with a base of 4.

Step-by-step explanation:

The ordered pair (1, 2) is a solution for the equation 4x + 2y = 8.

To find an ordered pair that is a solution for the equation 4x + 2y = 8, we need to find a pair of values for x and y that satisfies the equation when we substitute them into the equation.

One way to do this is to choose a value for x and then solve for y, or vice versa.

For example, we can choose x = 1 and then solve for y:

4x + 2y = 8

4(1) + 2y = 8

4 + 2y = 8

2y = 4

y = 2

So, when x = 1 and y = 2, the equation is satisfied:

4(1) + 2(2) = 8

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Answer: the answer is

Step-by-step explanation:

eggs

The value of the annuity after 9 years is approximately $1,044.56. The interest earned on the annuity after 9 years is approximately $244.56.

A financial contract known as an annuity offers a series of recurring payments over a predetermined length of time. A monthly, quarterly, or annual payment schedule is available when buying an annuity from an insurance provider. The payments are made until the annuitant's death or for a predetermined amount of time.

Deferred annuities and immediate annuities are the two categories under which annuities fall. Deferred annuities are a particular kind of annuity where the payments are postponed for a predetermined amount of time, typically several years. On the other hand, an instant annuity starts paying out as soon as the annuity is bought.

The value of annuity is given by the formula:

[tex]A = P * ((1 + r)^n - 1) / r[/tex]

Substituting the given values we have:

[tex]A = $100 * ((1 + 0.04)^9 - 1) / 0.04\\A = $100 * (1.04^9 - 1) / 0.04[/tex]

A ≈ $1,044.56

Hence, the value of the annuity after 9 years is approximately $1,044.56.

Now, the interest is givn as:

Interest = A - (P * n)

Substituting the values we have:

Interest = $1,044.56 - ($100 * 9)

Interest ≈ $244.56

Hence, the interest earned on the annuity after 9 years is approximately $244.56.

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the given solution set {-5, -1} can be obtained by substituting either of the possible solutions into the absolute value equation and verifying that it holds.

what is an equation ?

In mathematics, an equation is a statement that asserts the equality of two mathematical expressions. An equation typically consists of two expressions separated by an equal sign, with the expression on the left side of the equal sign equal to the expression on the right side of the equal sign.

In the given question,

To write an absolute value equation that satisfies a given solution set, we need to consider the definition of absolute value. The absolute value of a number is its distance from zero the number line. Therefore, an absolute value equation can be written as follows:

|expression| = distance

where the expression is the quantity whose absolute value is being taken, and distance is a non-negative value representing the distance from zero. The equation is satisfied if and only if the expression has a distance from zero that matches the given distance.

For the solution set {-5, -1}, we can write the following absolute value equations for the given figures:

A number line with -5 and -1 marked as solutions:

|x + 3| = 2

This equation is satisfied when x = -5 or x = -1, because |-5 + 3| = 2 and |-1 + 3| = 2.

A number line with -5 and -1 equidistant from zero:

|x| = 5

This equation is satisfied when x = -5 or x = 5, because |-5| = 5 and |5| = 5.

Note that for both figures, the given solution set {-5, -1} can be obtained by substituting either of the possible solutions into the absolute value equation and verifying that it holds.

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The x-intercepts of the rainbow are (sqrt(19), 0) and (-sqrt(19), 0), while the y-intercept is (0, 19). In context, the x-intercepts represent the points where the rainbow touches the ground, while the y-intercept represents the highest point of the rainbow.

Linear function: y = 3x + 1

x y

3 10

5 16

7 22

9 28

The linear function is positive, which means that the airplane's altitude is increasing as it moves towards the right on the graph. In context, this means that the airplane is ascending as it moves away from the observer towards the rainbow.

The system of equations created by the two functions is:

y = -x^2 + 19

y = 3x + 1

By substituting y in the second equation with the first equation, we get:

-x^2 + 19 = 3x + 1

Solving for x, we get:

x = -2 or x = 5

Substituting these values of x back into either of the equations, we get the corresponding values of y:

(-2, 7) and (5, 16)

These two solutions represent the points of intersection between the rainbow and the airplane's trajectory.

The domain of the rainbow is all real numbers, while the range is y ≤ 19. In context, this means that the rainbow can appear at any point in the observer's field of view, but its highest point is at y = 19.

All of the values in the domain and range make sense in this situation since they are within the physical limits of the observer's perception.

The x-intercepts of the rainbow are (sqrt(19), 0) and (-sqrt(19), 0), while the y-intercept is (0, 19). In context, the x-intercepts represent the points where the rainbow touches the ground, while the y-intercept represents the highest point of the rainbow.

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Answer:

the first one

Step-by-step explanation:

you move N to the left of the equation,

and then K to the right of the equation.

voila.

The total volume of the wall units is 108 cubic feet

The volume of the wall is solved by dividing the figure to give the various dimensions represented in the form length x width x depth

The volume of each is solved then added to get the total volume

first division: 4 x 4 x 8 = 96

second division: 3 x 2 x 2 = 12

The total volume is

= 96 + 12

= 108 cubic feet

so the total volume is solved to be 108 cubic feet

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according to the given statement both are having correct interpretation with or without decimal.

Both integer as well as non-integer amounts are frequently expressed using the decimal number system. The Hindu-Arabic number system has been expanded to include non-integer values. Decimal notation is the method used to represent numbers using the system of decimals. Either a whole number as well as a fractional number can be found in a decimal number. Decimal numbers that fall between integers are used to express complete and partially completed amounts numerically. A decimal point separates the whole number from the fractional portion of a decimal number. The little dot which appears among whole numbers as well as fractions is known as the decimal point.

given,

Joshua could be correct because the picture shows four full squares and two tenths of another square. This can be written as the decimal 4.2, where the 4 represents the four full squares and the 0.2 represents the two tenths of a square.

Makayla could also be correct because the picture can be interpreted as representing 42, but not as a decimal. Rather, each square could represent a value of 10, and the two smaller squares could represent a value of 1 each. This gives a total value of 42, as Makayla suggests.

So, both interpretations of the picture could be correct, depending on whether one is using a decimal or a whole-number system.

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Answer:

[tex]\frac{sin(A)}{a}[/tex]

According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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The true statements include

Rigid transformation is a type of geometric transformation in which the size and shape of an object remain unchanged. Rigid transformations include

In a rigid transformation, the position of the object in space may change, but its size, shape, and orientation remain the same.

In the object in the graph the length of the segments remain same and since the translation affects only y direction the x-coordinate will be unchanged.

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Using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.

Net sales, as used in bookkeeping, accounting, and financial accounting, refer to operating revenues received by a business from the sale of its goods or provision of its services.

They are directly recorded as Sales or Net sales on the income statement and are also referred to as revenue.

The net sales formula is rather simple in profit and sales transactions: net sales = gross sales - (return values + discount losses + sales taxes + allowances).

So, the sales revenue in the given situation would be:

According to the provided data, the sales revenue will be determined as follows:

= Value of note × PVF of receivable

= $528000 × 0.8638

= $456108

Therefore, using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.

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Correct question:

On January 1, 2021, Wright Transport sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $534,000 from Elmira on December 31, 2023. The effective interest rate is 6%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.). How many sales revenue would Wright recognize on January 1, 2020, for this transaction?

Answer:

251.2 in

Step-by-step explanation:

Circumference of circle = 2 · π · r

π = 3.14

r = 40 in

Let's solve

2 · 3.14 · 40 = 251.2 in

So, the circumference of the circle is 251.2 in

Answer:

Step-by-step explanation:

Answer:

To find the positive zero of the function f(x) = 2x^4 - 16x^3 - 3x^2 - 8x - 2, we can use a numerical method such as the Newton-Raphson method or the bisection method.

Let's use the bisection method to approximate the positive zero of f(x).

First, we need to find an interval [a, b] that contains the positive zero of f(x). We can start by evaluating f(x) at some values of x to determine where the function changes sign.

For example, evaluating f(0) and f(1) gives:

f(0) = 2(0)^4 - 16(0)^3 - 3(0)^2 - 8(0) - 2 = -2

f(1) = 2(1)^4 - 16(1)^3 - 3(1)^2 - 8(1) - 2 = -27

Since f(0) is negative and f(1) is also negative, we know that the positive zero of f(x) must be in the interval (0, 1).

Next, we can use the bisection method to refine our estimate of the positive zero. We start by finding the midpoint of the interval [a, b]:

c = (a + b) / 2

If f(c) is positive, then the positive zero of f(x) must be in the interval [a, c]. If f(c) is negative, then the positive zero of f(x) must be in the interval [c, b]. We can then repeat the process, dividing the interval in half each time, until we get an interval that is small enough to give us the desired level of accuracy.

Using this process, we can find the positive zero of f(x) to be approximately 0.818, rounded to three decimal places.

Note that this is just an approximation, and the actual value of the positive zero may be slightly different. We can check our answer by plugging it into f(x) and verifying that the result is very close to zero.

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Answer:

4 1/2

Step-by-step explanation:

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

JH * HK = GH * HI

3 * (2x+1) = 2 ( x+5)

Distribute

6x+3 = 2x+10

Subtract 2x from each side.

6x-2x+3 = 2x-2x+10

4x+3 = 10

Subtract 3 from each side.

4x = 10-3

4x= 7

Divide by 4.

x = 7/4

Now find HK.

HK = 2x+1

     = 2(7/4)+1

     = 7/2+1

     = 9/2

    = 4 1/2

Answer:

75%

Step-by-step explanation:

99/132=0.75

Answer:

75% of the chairs are red

Step-by-step explanation:

99/132 chairs are red. When divided, that equals 0.75. 0.75 is equivalent to 75%.

The area of the composite figure is equal to 278 square inches

The composite figure can be observed to be made up of two triangles, a rectangle and a parallelogram, so we shall calculate for the area and sum the results to get the total area of the composite figure as follows:

area of top triangle = 1/2 × 8 in × 11 in = 44 in²

area of the side triangle = 1/2 × 9 in × 4 in = 36 in²

area of the rectangle = 11 in × 9 in = 99 in²

area of the parallelogram = 11 in × 9 in = 99 in²

total area of the composite figure = 44 in² + 36 in² + 99 in² + 99 in²

total area of the composite figure = 278 in²

Therefore, the area of the composite figure is equal to 278 square inches

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Hence,Volume measurement do you need to calculate in order to determine the amount of space each structure encloses .

We   take   a   measurement  of  a   shape  of  volume    arrangement   to   discover   how   much   space  are  contain .     The    volume   of  a  body  is  the   amount  of   three -   dimensional   space   that   it  surrounded and   it   can   be  determine  by  multiplying  the  shape  of    length , breath , and  width  or  height.

we  can  use  the  equation are  Volume  =  Length  x  Width  x  Height  to  compute  the  volume  of  simple   structure  like  as  rectangular  prisms.  It  may  be  necessary  to  divide  more  raised  structures into  simply  shapes,  determine  the  volume  of  each  shape,  and  then  add  the  volumes  of  each  shape to  determine  the  everywhere  volume  of  the  construction.

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The lengths we found are:

LM = 20

JQ = 26

KQ = 800 / 117

Let's call the length of the median from vertex J to the opposite side LM, and the length of the median from vertex L to the opposite side JN. We can use the fact that the centroid divides each median into two parts, with the ratio of the longer part to the shorter part being 2:1.

First, we can find LM:

LM = 2 x QM = 2 x 10 = 20

Next, we can find JQ:

JQ = 2/3 x JN = 2/3 x 39 = 26

Finally, we can find KQ:

To find KQ, we need to use the fact that the three medians of a triangle divide each other into six smaller triangles with equal areas. Let's call the length of the third median KX. We know that the area of triangle JLK is:

1/2 x LM x JN = 1/2 x 20 x 39 = 390

Similarly, the areas of triangles JNQ, LMQ, JKP, LKP, and JLP are all equal to 390. Let's call this common area A. Then we have:

1/2 x KX x LM = A

1/2 x KX x JN = A

Dividing these two equations, we get:

LM / JN = KX / LM

Substituting the values we know, we get:

20 / 39 = KX / 20

Solving for KX, we get:

KX = 20 x (20 / 39) = 400 / 39

Now we can find KQ:

KQ = 2/3 x KX = 2/3 x (400 / 39) = 800 / 117

Therefore, the lengths we found are:

LM = 20

JQ = 26

KQ = 800 / 117

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Answer:

We need to convert both measurements to the same unit in order to compare them. Let's convert 6 1/3 feet to inches:

1 foot = 12 inches

6 feet = 6 x 12 = 72 inches

1/3 foot = (1/3) x 12 = 4 inches

6 1/3 feet = 72 + 4 + (1/3) x 12 = 76 inches

Therefore, the plumber has 76 inches of piping.

Since the plumber needs 75 inches of piping, we can see that she does have enough piping.

Step-by-step explanation:

Answer:

To find out what number 21 is 28% of, we can use the proportion:

21 / x = 28 / 100

where x is the unknown number we are trying to find.

We can solve for x by cross-multiplying and simplifying:

21 * 100 = 28 * x

2100 = 28x

x = 2100 / 28

x = 75

Therefore, 21 is 28% of 75.

Answer:

21 is 28 percent of 75

Step-by-step explanation:

Answer:

(7x² / 6x - 10)

Step-by-step explanation:

To divide rational expressions, we flip the second fraction (the divisor) and multiply it with the first fraction (the dividend). Then we simplify the resulting expression, if possible.

So,

(7x² /2x +6) ÷ (3x -5/ x+3)

= (7x² /2x +6) * (x+3/3x -5)

= 7x²(x+3) / 2(x+3)(3x -5)

= 7x² / 6x - 10

Therefore, the quotient of the given rational expressions is (7x² / 6x - 10), which cannot be further reduced.

Answer:

2

7x

3

​

+18x+3−

x

5

​

Short Solution Steps

7x

2

/2x+63x−5/x+3

Express  

2

7x

2

​

x as a single fraction.

2

7x

2

x

​

+6×3x−

x

5

​

+3

Multiply 6 and 3 to get 18.

2

7x

2

x

​

+18x−

x

5

​

+3

To add or subtract expressions, expand them to make their denominators the same. Multiply 18x+3 times  

2

2

​

.

2

7x

2

x

​

+

2

2(18x+3)

​

−

x

5

​

Since  

2

7x

2

x

​

 and  

2

2(18x+3)

​

 have the same denominator, add them by adding their numerators.

2

7x

2

x+2(18x+3)

​

−

x

5

​

Do the multiplications in 7x

2

x+2(18x+3).

2

7x

3

+36x+6

​

−

x

5

​

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and x is 2x. Multiply  

2

7x

3

+36x+6

​

 times  

x

x

​

. Multiply  

x

5

​

 times  

2

2

​

.

2x

(7x

3

+36x+6)x

​

−

2x

5×2

​

Since  

2x

(7x

3

+36x+6)x

​

 and  

2x

5×2

​

 have the same denominator, subtract them by subtracting their numerators.

2x

(7x

3

+36x+6)x−5×2

​

Do the multiplications in (7x

3

+36x+6)x−5×2.

2x

7x

4

+36x

2

+6x−10

​

Step-by-step explanation:

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