Yes, it is entirely possible for vou te retire as a millionaire. If your long-term financial goal is te retire as a millionaire and you plan to invest at least $200 per month for 40 years, what rate of return would keep you from ending up a millionaire based on the Building Wealth charts?

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

The answers of the matrix of A after  adding  -5 times row 1 to row 3 of matrix is

1  -1  5  |  -1

1  -1 -4  |   5

0   9 -25 |   4

A matrix is described as  a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Matrices are useful for describing systems of linear or differential equations, as well as representing a linear application.

We perform the row operation and have:
1  -1  5  |  -1

1  -1 -4  |   5

0   9 -25 |   4

The result after  adding  -5 times row 1 to row 3 of matrix is shown below:

1  -1  5  |  -1

1  -1 -4  |   5

0   9 -25 |   4

In conclusion,  in  a matrix function, the input and the output values are matrices.

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The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.

To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.

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Answer:

A

Hope This Helps! :)

Answer:

B. 4 inches

Step-by-step explanation:

(24)(1) / 6 = 4

Answer:

1.C

2.A

Step-by-step explanation:

Closed circle is =

Step-by-step explanation:

for number 1 the answer is the third line

for number 2 i believe the answer is the second line

hope it help

According to the question the value of the test statistic \(0.55\)

Data variation from the mean is referred to as "standard deviation." If the standard deviation appears low, the data tend to cluster around the mean; on the other hand, if it appears large, the data are widely spread.

The data deviate from the mean value is indicated by the standard . It is useful for contrasting huge datasets with distinct ranges but the same mean.

The other, though, is without a doubt more spread. The standard deviation reveals the degree of data dispersion. It describes how far away from the mean each number obtained is.

We must compute the t-score, which is represented by: in order to determine the value of the test statistic.

\(t = x -\) μ\(/(s/\sqrt{n}\)

s= sampling standard deviation, n= sample size,\(x=\) sampling rate μ = population mean

\(x = 69.5 bpm,\) μ\(= 69 bpm, s = 11.4 bpm, n = 154\)

\(t = (69.5- 69)/ 11.4/\sqrt{154} \\t = 0.5/ (11.4/12.4)\\t = 0.5/ 0.917\\t = 0.546\)

Therefore the value of the test statistics is \(0.55\)

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Answer:

162 in.

Step-by-step explanation:

1 yard = 36 inches

1/2 yard = 18 inches

36x4 = 144

144 + 18 = 162

Angle JKL has a measure of 24 degrees while angle LKM has a measure of 12 degrees

The possible question is added at the end of the solution and as an attachment

From the attached figure, we have the following angles

From the attached figure, we can see that:

Angle 1 is twice the measure of angle 2

This is so because, the angle 1 is the vertex angle of an isosceles triangle

While the angle 2 is half of it

So, we have

Angle 1 = 2 * Angle 2

Substitute the known values in the above equation

So, we have

2 * 3x = 5x + 4

Evaluate the product

So, we have

6x = 5x + 4

Evaluate the like terms

x = 4

Substitute x = 4 in the equations JKL=5x+4 and LKM=3x

So, we have

JKL= 5 x 4 + 4

LKM = 3 x 4

Evaluate the equations

So, we have

JKL= 24

LKM = 12

Hence, the measures of the angles are JKL= 24 and LKM = 12, respectively

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The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer:

\(-\frac{8}{9}\)

Step-by-step explanation:

\(\dfrac{4}{9}-\dfrac{4}{3}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}9,\:3:\quad 9\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\\frac{4}{3}=\frac{4\times\:3}{3\times\:3}=\frac{12}{9}\\\\=\frac{4}{9}-\frac{12}{9}\\\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\\\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{4-12}{9}\\\\=\frac{-8}{9}\\\\=-\frac{8}{9}\)

Answer:

what?

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Add 165 and 80 to get 245. 80 times 3 = 240.

So 80 is around 1/3 of 240. In other words it is around 33%

Answer:

5

Step-by-step explanation:

Complete question is attached below :

Answer:

40, 66, 55, 70, 80, 58, 65 - option B

Step-by-step explanation:

From the boxplot attached ;

We could deduce that the least temperature is denoted by the starting point of the whisker, which is 40

The maximum temperature, is the 80, denoted by end of the end whisker.

The median is the value in the middle of the box which is 65

Lower quartile being 55 and upper quartile being 70

Hence, From the options given, the most appropriate answer will be :

40, 66, 55, 70, 80, 58, 65 - option B

IF ARRANGED IN ASCENDING ORDER, we'll have 40, 55, 58, 65, 66, 70, 80

Answer:

Hello!

I'm currently new to Log, but can help in the best way possible.

We can rewrite this into exponential form:

(x+3) = 4^1 + 4x^1

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

If not shown correctly, above, further apologize.

If factored and isolated;

1-xlog(4) = log(256x)

x

≈

0.03710403

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

#Team Trees #Team Seas #PAW #Spread_Positivity

I hope this helps,

-Oceanbreeze24

Answer: x=1

Step-by-step explanation: plato

Using proportions, it is found that due to the smaller division of the exchange rate by the cost, the souvenir would be less expensive in Egypt.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The souvenir would be less expensive in the country in which the division of the exchange rate by the cost is smaller.

In Britain, the cost is of 17, with an exchange rate of 0.83, hence the cost in US dollars is:

c = 17/0.83 = $20.48.

In Egypt, the cost is of 288, with an exchange rate of 18, hence the cost in US dollars is:

c = 288/18 = $16.

16 < 20.48, hence the souvenir would be less expensive in Egypt.

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

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Using the Empirical Rule, the interval that contains 68% of the scores is [81.5, 90.5].

It states that, for a normally distributed random variable:

68% of the scores are within 1 standard deviation of the mean, hence the bounds of the interval are:

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The exponential function passes through the points (-1,4/5) and (1,20) will be y = 4 × \(5^{x}\).

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

In other meaning, an exponential function is that function above which a variable x has imposed.

Suppose the exponential function as

y = a\(e^{bx}\)

Substitute, (-1,4/5)

4/5 = a\(e^{-b}\)                             (1)

Substitute, (1,20)

20 = a\(e^{b}\)                                (2)

Multiply (1) with (2)

(4/5)20 = a\(e^{-b}\) × a\(e^{b}\)

4 × 4 = a²

a = 4

Substitute, a = 4 into (2)

20 = 4\(e^{b}\)    

\(e^{b}\) = 5

Take log on both sides of the above equation,

ln \(e^{b}\)  =  ln 5

b = ln 5

Substitute a = 4 and b = ln 5 into y = a\(e^{bx}\)

y = 4 e^(x(ln 5)) = 4 e^(ln5^x)

y = 4 × \(5^{x}\)

Hence "The exponential function passes through the points (-1,4/5) and (1,20) will be y = 4 × \(5^{x}\)".

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A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as:

Area = πr²

The total sector of a circle is 360°

The area of the sector of 270° is 37.68 square meters.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as:

Area = πr²

We have,

The radius of the circle = 4 m

The total sector of a circle is 360°

The area of the sector with 270°.

= (270°/360°) x πr²

= 0.75 x πr²

= 0.75 x 3.14 x 4²

= 37.68

= 37.7 square meters

Thus,

The area of the sector of 270° is 37.68 square meters.

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Answer:

I think its C

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

when you add them you get 180⁰

good luck :)

Answer 90

Step-by-step explanation:

Answer:A-120

Step-by-step explanation:

Answer:

\(\boxed{-2 < x\le1}\)

Representation on number line is in attached image.

Notice that -2 has an unfilled circle and 1 has a filled circle. Important

Step-by-step explanation:

The given inequality is

\(2 < 4x+10\le14\)

Subtract 10 throughout:

\(2-10 < 4x+10-10\le14-10\\\\)

\(-8 < 4x\le4\)

Divide throughout by 4:

\(-2 < x\le1\)

Answer:    \(\boxed{-2 < x\le1}\)

This is represented on the number line as follows: Notice the use of the

Answer:

84

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

perimeter = sum of the lengths of the sides

In a parallelogram, opposite sides are congruent.

Two sides have length 7.5 cm.

We need the length of the top and bottom sides.

area = base × height

62 cm² = base × 6.2 cm

base = (62 cm²)/(6.2 cm)

base = 10 cm

Two sides have length 10 cm.

perimeter = 7.5 cm + 7.5 cm + 10 cm + 10 cm

perimeter = 35 cm