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The value of the liquid assets of the salesperson is; D: $613,570

Liquid assets are defined as a set of property or investment that can be converted easily into cash. These liquid assets include raw cash, fast selling and marketable securities that can be traded and converted into cash within a short time.

Hence the liquid assets of the person, along with their values, are listed as follows:

The returns from someone's retirement portfolio will supplement your Social Security benefits, and it can even prevent you from having to live squarely on a fixed income. Due to the fact that a retirement portfolio is diversified, it can protect you from market volatility by balancing different income classes. Retirement Portfolio in this question is given as  $473,906 (It is called the Retirement fund)

Investments = $139,664

The total value of the person's liquid assets is given by the sum of the values of each of these two assets, hence:

473,906 + 139664 = $613,570

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Answer:

Below

Step-by-step explanation:

Cross multiply to get

[3x(x) + (x-2)(x+3)  ] / [x(x+3)]     <==== simplify

[4x^2 +x -6 ] / (x(x+3))      done.

There are some means for value. There are:

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For the given line segment, the value of HJ is 32 and hence option a is the correct answer.

Two unique points on a line define the boundaries of a line segment. A line segment is sometimes referred to as a section of a line that links two places.

Given that:

GJ = 56

[tex]\frac{GH}{HJ} =\frac{3}{4}[/tex]

The line segment GHJ = GJ can be written as follows:

GJ= GH +HJ

From the given ratio we know that:

GH = 3x and

HJ = 4x

Thus, the value of GJ = 3x + 4x

GJ = 7x

56 = 7x

x = 8

Substitute the value of x = 8 in GH = 3x and HJ = 4x.

GH= (3)(8) = 24

HJ = (4)(8) = 32

Hence the value of HJ = 32 and option a is the correct answer.

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The balance on the credit card after three years would be $20,111.25.

What is continuous compound interest?

Continuous compounding means that there is no limit to how often interest can compound. Compounding continuously can occur an infinite number of times, meaning a balance is earning interest at all times.

The balance on the credit card after three years can be calculated using the formula for continuous compound interest:

A = P * e^(rt)

where A is the final balance, P is the initial principle (the amount of the loan), r is the annual interest rate as a decimal, and t is the number of years.

In this case, P = $12,500, r = 0.1599 (15.99% as a decimal), and t = 3.

Plugging these values into the formula:

A = $12,500 * e^(0.1599 * 3)

A = $12,500 * e^0.4797

A = $12,500 * 1.6089

A = $20,111.25

Rounded to the nearest penny: $20,111.25

Hence, the balance on the credit card after three years would be $20,111.25.

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The range of possibilities for the third side of the triangle, after using the triangle inequality theorem is 13 < n < 25.

According to the theorem of triangle inequality, the sum of any two of a triangle's sides must exceed the length of the third side. When we know the lengths of two sides, x and y, we can apply the triangle inequality theorem to estimate the length of the third side, which will be between x + y and x - y.

As a result,

x – y < n < x + y

19 – 6 < n < 19 + 6

13 ft < n < 25 ft

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The slope and the y-intercept of the line are 3 and 5 respectively.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the equation of a straight line → y = 3x + 5

The equation of the straight line given is -

y = 3x + 5

We can compare and conclude that -

m = 3

c = 5

Therefore, the slope and the y-intercept of the line are 3 and 5 respectively.

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Answer:

a = 2

b = 7

Step-by-step explanation:

The given rectangle is a parallelogram.

10b + 1 = 9b + 8

10b - 9b = 8 - 1

b = 7

2. WX = ZY

6a + 4 = a + 14

6a - a = 14 - 4

5a = 10

a = 2

The equivalent expressions for the expressions are

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

4x - 7y - 5z + 6 and -3x - 8y - 4 - 8/7z

Solving the first expression, we have

4x - 7y - 5z + 6

Rewrite as

4x  + 6 - 7y - 5z

Factor out 2

2(2x + 3) - 7y - 5z

Solving the second expression, we have

-3x - 8y - 4 - 8/7z

Factor out 4

-3x - 4(2y - 1 - 2/7z)

Hence, the equivalent expression is -3x - 4(2y - 1 - 2/7z)

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Inequality formula:

The inequality formula is a mathematical statement that compares two values using the less than (<) or greater than (>) symbols.

The inequality formula is used to determine if one value is greater than, less than, or equal to another value. It can be written in the form of A < B or A > B, with A and B representing any two values. This is useful for solving problems that involve comparison, such as determining whether a number is greater than another or if a certain value is within a certain range. The inequality formula can also be used to graph inequalities on a number line, which is useful for visualizing the relationships between two values.

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2 3 as an exponent is written as 2^3 and it represents 2 multiplied by itself 3 times. 2^3 = 2 * 2 * 2 = 8

In the notation 2^3, the number 2 is the base and the number 3 is the exponent. The exponent tells you how many times the base is being multiplied by itself. In this case, 2 is multiplied by itself 3 times.

It's important to note that the exponent is also known as the power, so 2^3 is also read as 2 to the power of 3.

In summary, 2 3 as an exponent is written as 2^3 and it represents 2 multiplied by itself 3 times, or 2 to the power of 3 which is equal to 8. Understanding this concept is important for solving mathematical problems, especially in algebra and calculus.

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Yuna wam 1.9 miles in the open ocean in two hours, starting off with an average speed of 1.4 mph but decreasing to 0.8 mph. This resulted in a total distance of 2.8 miles.

To calculate Yuna's total distance wimmed, we need to calculate the total time it took her to wim. She wam 1.9 miles in 2 hours, so her average peed for the entire wim wa 1.4 mph.

1.4 mph x 2 hours = 2.8 miles

Therefore, Yuna wam a total of 2.8 miles.

Yuna trained for a triathlon and wam 1.9 miles in the open ocean, which took her two hours. She started off with an average speed of 1.4 mph, but as she got tired and wam against the current her average speed decreased to 0.8 mph. In order to calculate the total distance wimmed, we need to calculate the total time it took her which can be done by multiplying her average speed of 1.4 mph by the two hours. This gives us a total distance of 2.8 miles, which means that Yuna wam a total of 2.8 miles.

Yuna wam 1.9 miles in the open ocean in two hours, starting off with an average speed of 1.4 mph but decreasing to 0.8 mph. This resulted in a total distance of 2.8 miles.

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Can a triangle be formed having the length of sides 2cm 3cm & 5cm.Therefore, this triangle is not possible.

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Answer:

x = 5 ft

Step-by-step explanation:

Volume of a right square pyramid = V = x²h/3

66.7 = x²(8/3)

x² = 66.7(3/8) = 25

x = √25 = 5

The value of x in the rectangle is 7 metres.

A rectangle is a quadrilateral with opposite sides equal to each other and also parallel to each other.

The rectangle has dimension 12 meters and 5 times x metres, with diagonal length of 37 metres.

Hence, the length x can be found using Pythagoras's theorem.

Therefore,

c² = a² + b²

where

Therefore,

37² = 12² + (5x)²

1369 = 144 + 25x²

1369 - 144 = 25x²

1225 = 25x²

divide both sides by 25

x² = 1225 / 25

x² = 49

square both sides

x = √49

x = 7 metres

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Answer:

0.28

Step-by-step explanation:5 (numerator) ÷ 18 (denominator) = 0.28

Answer: 0.28

Step-by-step explanation:

You look it up

The domain of f(x) = 4x + 1 is all real numbers.

The domain of a function is the set of all input values for which the function is defined. As the expression f(x) = 4x + 1 does not contain any restrictions on the values of x, the domain of this function is all real numbers.

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is f(x) = 4x + 1, which does not have any restrictions on the values of x, thus the domain of this function is all real numbers. This means that all real numbers are valid input values, including negative numbers, positive numbers, fractions, irrational numbers, and all other real numbers. This means that regardless of the input value, the output will always be a real number. Thus, the domain of this function is all real numbers.

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The function's value at x = 1, y = - 1 Or f(1) = -1.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

The x-coordinate represents the input and the y-coordinate represents the output.

From the given points in the graph, we can conclude that when x = 1, y = -1.

Therefore, The value of the function f(1) = -1.

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Answer:

75 meters long 55 meters wide

Step-by-step explanation:

80*50= 4000

75*55=4125

4125<4000

75+55= 130

80+50=130

in the form ax²+bx+c, in which a, b, and c are constants, the value of given quadratic equation a+b+c is 0.

Simplification is the process of making an expression or equation simpler, while still maintaining its meaning or function. This can be done by combining like terms, combining or removing unnecessary elements, or applying mathematical rules or identities.

For example, in algebra, simplifying an expression might involve combining the coefficients of similar terms (such as 2x + 3x = 5x), or factoring out a common factor from multiple terms (such as [tex]2x^2 + 4x = 2x(x+2).[/tex]

The goal of simplification is to make the expression or equation easier to understand, manipulate, or solve.

The expression given is already in the form ax^(2) + bx + c, so we can simply add the coefficients of the x^(2), x and constant terms to find the value of a+b+c:

[tex](2x^{(2)} -3x+1)-(-2x^{(2)}-3x+2) = 2x^{(2)} - (-2x^{(2)}) + (-3x) - (-3x) + 1 - 2[/tex]

a+b+c = 2 - (-2) + (-3) - (-3) + 1 - 2 = 2 + 2 - 3 - 3 + 1 - 2 = 0

Therefore, the value of a+b+c is 0.

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Therefore , the solution of the given problem of equation comes out to be  x = 73/19 , y = 5/19 and z = 18/19.

In a mathematical formula, the equal symbol (=) is used to denote that the statements are equivalent. It is demonstrated that many numerical variables are comparable using mathematical equations, which are statements of reality. The equal sign, for instance, separates the numbers 12 or b + 6 split separate halves of the equation y + 6 = 12. It is possible to calculate how many words each sides of a symbol represents. The meaning of a symbol usually contradicts itself.

Here,

Given :

=> x-3y+z=4.......   (1)

=>2x-8y+8z=-2 ........ (2)

=> -6x+3y-15z=9 ......... (3)

Multiply eq (1) by 2 and subtract from eq (2)

=>  2x - 6y + 2z -2x +8y +8z = 8 +2

=>  2y +10z =10

=> y + 5z =5 ..... (4)

and

Multiply eq (2) by 3 and add to eq (3)

=> 6x - 24y +24z  -6x + 3y -15z =-6 +9

=> -21y + 9z = 3

=> -7y + 3z =1 ..... (5)

So ,

from eq (4) and (5)

=> y = 5 -5z

=> -7(5-5z) + 3z = 1

=> -35 + 35z + 3z =1

=> 38z = 36

=> z = 36/38

=> z = 18/19

and

=> y = 5 - 5 (18/19)

=> y = 95 -90/19

=> y = 5/19

and

=> x = 4 -z +3y

=> x = 4 - 18/19 +15/19

=> x = 76 -3 /19

=>  x = 73/19

Therefore , the solution of the given problem of equation comes out to be  x = 73/19 , y = 5/19 and z = 18/19.

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Answer:

y = 2x + 5

Figure 505

Step-by-step explanation:

(3,11) ( 4,13)

Find the slope

Change in y over the change in x

[tex]\frac{13-11}{4-3}[/tex] = [tex]\frac{2}{1}[/tex] = 2

slope (m) is 2.

Part A

Find the y -intercept

m = 2

x = 3     from the point (3,11)

y = 11    from the point (3,11)

y = mx + b  Substitute what I know and solve for b

11 = (2)(3) + b

11 = 6 + b  Subtract 6 from both sides

11 - 6 = 6 -6 + b

5 = b

The y intercept (b) is 5

y = mx + b

y = 2x + 5

Part B

y =  2x + 5

1015 = 2x + 5  Subtract 5 from both sides

1015 - 5 = 2x + 5 - 5                                                    

1010 = 2x  Divide both sides by 2

505  

The proper way to enter the piece-wise function into Desmos is given as follows:

A piecewise function is a function that has different definitions, based on the input of the function.

The definitions for this problem are given as follows:

The correct command to enter an interval in Desmos is between {}, hence the intervals are given as follows:

The definitions of f(x) are entered using y = f(x), hence the correct option is given by the second option.

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The coordinates of V’ in the image of TUV under a dilation centered at the origin with scale 5 followed by a translation 3 units right and 2 units down can be found by following the transformation sequence.

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Answer: Would it just be 2/3? It says 2/3 are alley cats.

Step-by-step explanation:

Answer:

1/3 of them are alley cats

Step-by-step explanation:

Answer:

[tex]y = 2x - - 3[/tex]

That's the answer. Hope this helps

Please could you give me brainliest

The linear function to model this problem is y = 2.50x + 5

A linear function is a type of mathematical function that describes a straight line. A linear function is defined by an equation of the form:

y = mx + c

Where y is the dependent variable (the variable being measured or predicted), x is the independent variable (the variable being used to make the prediction or explanation), m is the slope of the line (the rate of change of y with respect to x), and c is the y-intercept (the value of y when x is zero).

The linear function to model this problem is given as;

y = 2.50x + 5

We can use a graphing calculator to represent this.

Kindly find the attached graph below

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Triangle DEF is an isosceles triangle, with two sides of length 8 and one side of length 10.

We can use Heron's Formula to calculate the area of the triangle. Heron's Formula is A = √(s(s-a)(s-b)(s-c)), where s is the semiperimeter, or half of the perimeter, and a, b, and c are the lengths of the sides of the triangle.

The semiperimeter of triangle DEF is (8+8+10)/2 = 16. Substituting these values into Heron's formula yields A = √(16(16-8)(16-8)(16-10)) = √(256(8)(8)(6)) = √11520 = 107.3.

Therefore, the area of triangle DEF is 107.3 square units.

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The length of the string is 37.7 inches string is placed on the outside of a clock going clockwise from 12 to 9.

To calculate the length of the string, first, start with the fact that the circumference of a circle is equal to pi multiplied by the diameter. The diameter of the clock is 12 inches, so then the circumference is 12π or 37.7 inches.

Since the string is going around the outside of the circle, the length of the string is equal to the circumference which is 37.7 inches. To get this answer, take the radius (6 inches) of the clock and double it to get the diameter (12 inches).

Multiply the diameter by pi (3.14) to get the circumference (37.7 inches) and then the length of the string is the same as the circumference.

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Correct question.

A string is placed on the outside of a clock going clockwise from 12 to 9. The clock has a radius of 6 inches. What is the length of the string?

An image may be defined as that point, where the light rays coming from an object meet or appears to meet after reflection or refraction.

In this definition, the word 'object' may be defined as anything from which light rays are coming.

A function f from a set A to a set B is a special relation in

which, every element of set A has unique image in set B.

The function f from A to B is denoted by f : A →

If, f(a) = b, then ‘b’ is called the image of ‘a’ under f and ‘a’

is called the pre image of ‘b’ under f.

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