How many solutions does the system have? { y = 4 x − 8 4 y = 4 x − 8 y=4x−8 4y=4x−8 ​

A function that represents the balance y (in dollars) of the investment account after t years is [tex]y = 120^{1.064\times{t/4}[/tex].

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, You deposit $120 in an investment account that earns 6.4% annual interest compounded quarterly.

We know the formula for compound interest compounded quarterly is,

A =  P(1 + (r/4)/100)⁴ⁿ.

The function can be represented as,

[tex]y = y_{0}^{1.064\times4t[/tex], As the decimal value of 6.5% is 0.064 and compounded quarterly.

[tex]y = 120^{1.064\times{t/4}[/tex].

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In algebra, an equation is a statement of mathematics that establishes the equality of two mathematical expressions.

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You do know that to get to the fifth term from the second term you had to add the common difference 3 times. (adding ones takes you to the 3d term, adding twice takes you to the 4th term, and adding 3 times takes you to the 5th term.

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k. Example: a1 = 25. a(n) = a(n-1) + 5.

nth term=a+(n-1)d

Where a is the first term and d is the common difference.

Now,

2nd term=a+(2–1)d=a+ d——————(1)

5th term=a+(5–1)d=a+4d—————-(2)

Now, we take (2)-(1):

5th term-2nd term=(a+4d)-(a+ d)

5th term-2nd term=3d

So:

d=(5th term-2nd term)/3

Now as all the terms are known we can find out the common difference

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hi there! if you are solving for x  the answer to 3 1/3(1+2x)=5 1/2(2x-1) is 215/182  

To find the y-intercept of a line represented by an equation in slope-intercept form (y = mx + b), we need to find the value of b. The y-intercept is the point where the line crosses the y-axis, which means that the x-coordinate is 0.

In this case the equation is not in slope-intercept form, but we can still find the y-intercept by isolating y on one side of the equation.

x - 2y = 5

Add 2y to both sides of the equation:

x = 2y + 5

Divide both sides of the equation by 2:

y = (x + 5) / 2

The y-intercept is the point (0, b) where b is the constant in the equation. In this case, the y-intercept is (0, 5/2)

So the y-intercept of the line represented by the equation x−2y=5 is (0,5/2)

Answer: 52

Step-by-step explanation:

Add 11, 16, and 25 together to get 52.

52 of the coins are not nickels.

The correct option 5. The human resources department is only interviewing the most qualified candidates for the position.

The department of a company tasked with discovering, selecting, hiring, and developing job applicants is known as human resources (HR).

Key HR Activities:

Consequently, whereas if human resources division interviewed four candidates today and thus will interview three candidates tomorrow for the identical post.

Only the most competent applicants are being interviewed for the post by the human resources division.

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Each homeowner was charged $231 to help pay for the repairs

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

Let x represent the amount of money that each house owner is charged. There are 50 homeowners.

Amount of money the homeowners is charged = 50 * x = 50x

The association has $2000 in its reserve and the total cost of repairs is $13350. Hence:

50x + 2000 = 13550

50x = 11550

x = 231

The homeowners was charged $231

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Here is the completed table:

Total relative frequency

Pets         Men     Women   Total

Dogs         20%     30%       50%

Cats           13.8%    20.8%     34.6%

Birds           6.2%    9.2%     15.4%

Total             40%     60%     100%

Percentage is the ratio of an amount out of a total amount. The sign that represents percentage is %. In order to convert a value to a percentage, multiply the value by 100.

Relative frequency measures how often a value appears relative to the sum of the total values.

Relative frequency of men that have dogs = (26/130) x 100 = 20%

Relative frequency of women that have dogs = (39/130) x 100 = 30%

Relative frequency of those that have dogs = 20% + 30% = 50%

Relative frequency of men that have cats = (18/130) x 100 = 13.8%

Relative frequency of women that have cats = (27/130) x 100 = 20.8%

Relative frequency of those that have cats = (45/130) x 100 = 34.6%

Relative frequency of men that have birds = (8/130) x 100 = 6.2%

Relative frequency of women that have birds = (12/130) x 100 = 9.2%

Relative frequency of those that have birds = 6.2% + 9.2% = 15.4%

Relative frequency of males = (52/130) x 100 = 40%

Relative frequency of females = (78/130) x 100 = 60%

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The difference quotient would be (f(a + h) - f(a))/h.

Quotient is a mathematical concept which involves dividing one number (dividend) by another (divisor) to find the answer (quotient). It is used in a variety of everyday calculations, such as calculating discounts or figuring out how much of an item is left over after a certain amount has been used. It is also used for more complex calculations, such as determining the probability of something happening or calculating the percentage of a population that has a certain trait.

The difference quotient for the equation f(x) = x² + x + 2 is (x + h)² + (x + h) + 2 - (x² + x + 2) / h. Simplifying this expression yields 2xh + h² + h / h, which reduces to 2x + h + h²/h, or 2x + h.
The difference quotient is the mathematical expression used to calculate the rate of change of a function at a given point. It is calculated by taking the difference between two points on the function and dividing it by the difference in their x-values. For example, for the function f(x) = x² + x + 2, the difference quotient would be (f(a + h) - f(a))/h.

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The graph of the given polynomial equation y = x³ − 11x² + 38x – 40 is shown.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Given expression y = x³ − 11x² + 38x – 40 is a polynomial expression of degree 3. So the curve of function is a cubic curve as shown in the graph.
Where the vertical axis is the y-axis and the horizontal axis is the x-axis.

Thus, the graph of the given polynomial equation y = x³ − 11x² + 38x – 40 is shown.

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Answer:

Y=-1x+4

Step-by-step explanation:

Well we know slope-int, form is as follows

Y= Mx + B

Our B is our Y-int in this case where the axis intercepts the y-axis,

So if we go to the Left 1 time we will get -1 which can be suited for our missing symbol

Y = -1x + _

To find our B in this case our Y-int, We can see at 4y the axis intercepts the Y-axis which will leave us to our Y-int of 4

So our final answer is

Y = -1x + 4

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The value of the function at x = 5 is 15.

Given is the function as -

h(x) = x² - 3x + 5

We can write for {h} = 5 as -

h(5) = (5)² - 3(5) + 5

h(5) = 25 - 15 + 5

h(5) = 25 - 10

h(5) = 15

Therefore, the value of the function at x = 5 is 15.

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Answer: 3145728

Step-by-step explanation: 6 times 2, 20 times is 3145728 the equation is 6 times 2x or 6(2x)

x representing the square the king is on

Answer:

26 000000000065554443

Answer: x=1/3

Step-by-step explanation:

3-5x+20=16x-24

23-5x=16x-24

-23           -23

-5x=1

Answer:

X=1/3

Step-by-step explanation:

First, you have to distribute the number outside the brackets/parenthesis to the numbers inside

3-5x-20=16x-24

combine like terms, variables with variables, and numbers with numbers.

-17-5x=16x-24

Add 5x on both sides, and add 24

7=21x

divide by 21

x=1/3

Answer: y=x-2

Step-by-step explanation: Divide both sides by 5 to find y.

Answer:

y= x-2

Step-by-step explanation:

Divide 5y and 5x-10 by 5. That would be y=x-2 because 5y divided by 5 is just y. Then 5x-10 divided by 5 would just be x-2, so combined, it would be y=x-2.

When a ship sails from A to B on a bearing of 252°T, the bearing in which it must sail to return from B to A is 432°.

The maximum number of rotations that a geometry may accommodate is the order of rotational symmetry. The degree of rotational symmetry is denoted as 360°A°, where A° is the lowest angle that may be used to rotate a figure from its rotated shape back to its original shape. (170 degrees) How many times a perfect circle may be rotated while still preserving its appearance is a measure of a shape's rotational symmetry. The appearance of a full 360° revolution will be the same only when a triangle is placed back in its initial starting position.

given

Use the fact that angles in a full turn add up to 360° to determine the bearing of A to B,

then subtract the bearing of B to A from 180° to determine the missing interior angle.

180° + 252°

= 432°

When a ship sails from A to B on a bearing of 252°T, the bearing in which it must sail to return from B to A is 432°.

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The solution to the algebraic word problem is; x + 13

Algebraic word problems are defined as the questions that require translation of sentences to equations and then solving those equations.

Now, we are given the word problem as number multiplied by 5, subtracted from the sum of 13 and six times the number.

Let the unknown number be x and as such, we have;

number multiplied by 5 = 5x

sum of 13 and six times the number = 6x + 13

Thus, we have;

6x + 13 - 5x

= x + 13

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The preparation of an income statement and a balance sheet for the period ending June 30, 20X1 are as follows:

Johnson Hotel

For the period ending June 30, 20X1

Sales revenue                                     $26,500

Cost of sales                                          16,000

Gross profit                                          $10,500

Wage expense                        4,500  

General operating expenses     140

Depreciation expense              250     $4,890

Net income                                            $5,610

Johnson Hotel

For the period ending June 30, 20X1

Cash at bank                           $2,200

Accounts receivable                  1,500  

Closing inventory                         400   $4,100

Plant and machinery                11,000

Accumulated depreciation      (1,020) $9,980

Total assets                                         $14,080

Liabilities and Equity:

Accrued wages                       $100

Accounts payable                 2,200

Unearned revenue                  200    $2,500

Share capital                     $4,800

Retained profits                  6,780     $11,580

Total liabilities and equity               $14,080

These two financial statements are prepared from the list of account balances (Trial Balance) at the end of the accounting period.

The income statement show the net income or loss, which is the difference between revenue and expenses.

The balance sheet summarizes the assets, liabilities, and equity of the entity at a point in time.

Johnson Hotel

Account Balances as at 30th June 20X1

                                                  Debit       Credit

Cash at bank                           $2,200

Dividends paid                          2,000

Accounts receivable                  1,500  

Closing inventory                         400

Depreciation expense                 250

Plant and machinery                11,000

Accumulated depreciation                      $1,020

Sales revenue                                         26,500

Cost of sales                          16,000

Wage expense                        4,500  

General operating expenses     140

Accrued wages                                            100

Accounts payable                                    2,200

Unearned revenue                                     200

Share capital                                            4,800

Retained profits                                        3,170

                                         $37,990     $37,990​

Beginning balance $3,170

Net income               5,610

Dividends               (2,000)

Ending balance     $6,780

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x = 2

Like-terms are terms within an expression or equation with the same variable and degree (aka exponent). Like-terms can be combined through addition or subtraction.

Properties of Equality

To solve the equation above, we have to use properties of equality, which is often shortened to PoE. There are different types of PoE, but for this question, there is one part we need to understand. The properties of equality state, that you can do anything to the equation if you do it to both sides.

For example, we can add 3 to the left side as long as you also add 3 to the right side.

Solving For X

In any equation, to solve for a variable, you have to isolate it. The first step is combining like terms. 9x and 3x are like terms, so we should combine them on the same side of the equation.

Subtract 9x from both sides.

Then, divide both sides by -6.

For the given equation, x = 2.

The probability that the first defective hard drive is the fifth unit tested is 0.03.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. Probabilities can also be expressed as percentages or as decimals.

What is another word for a faulty hard drive?

P(X=k)=q^ K−1P=(1−p) ^K−1 P

Evaluate at k=5k=5:

P(X=5)=(1-0.03)^{5-1}0.03\approx 0.02656

P(X=5)=(1−0.03)^5−1 ≈ 0.03

Hence, the probability that the first defective hard drive is the fifth unit tested is 0.03.

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The probability that the first defective hard drive is the fifth unit tested is 0.03.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. Probabilities can also be expressed as percentages or as decimals.

What is another word for a faulty hard drive?

[tex]P(X=k)=q^K−1P=(1−p)^K−1 P[/tex]

Evaluate at k=5k=5:

P(X=5)=[tex](1-0.03)^{5-1}0.03\approx 0.02656[/tex]

P(X=5)=(1−0.03)⁵⁻¹≈ 0.03

Hence, the probability that the first defective hard drive is the fifth unit tested is 0.03.

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y' is negetive in the interval -3 < x < -1 so the function y = 2x² - 4 is decresing

y' is positive in the interval 0 < x < 2 so the function y = 2x² - 4 is incresing.

The equation that is represented is a non linear parabolic fuction.

The highest and smallest value of a function, either within a certain range or throughout the whole domain, are its maxima and minima, generally referred to as extrema.

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of peaks and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, while minima will be its lowest.

A function with the formula f(x) = ax² + bx + c is called a parabolic function. It is a second-degree quadratic expression in x. The graph of the parabolic function resembles that of a parabola, therefore the function's name. The range value for the parabolic function is the same for two distinct domain values.

the function is

y = 2x² - 4

differentiating both side with respect to x we get ,

y' = 4x

so , for x = 0 the function has maxima or minima.

for x <0

considering x = -3

y' = 4(-3) = -12

and at x = -1

y' = 4*(-1)=  - 4

y' is negetive in the interval -3 < x < -1 so the function y = 2x² - 4 is decresing

Again when x = 0

y' = 0 and

when x = 2

y' = 8

y' is positive in the interval 0 < x < 2 so the function y = 2x² - 4 is incresing.

The equation that is represented is a non linear parabolic fuction.

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The iterative formula, which is a rough solution to the equation x3 + 3x - 1 = 0, is 2 cos 280°.

The numeral is said to be in its simplistic form when decreased into its smallest commensurate fraction. What you must do to find the most basic form. Look for related factors in the denominators and numerators. Verify a fractional integer to verify if this one qualifies as a prime number. A statement having two rotational symmetry and an equality sign in the middle is called an equilibrium in mathematics. The conceptual model of any equation contains unique degrees of all the components in descending order. The conventional version of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditional equations. An identity holds true regardless of the value given to the variables.

given

a) x³ + 3x - 1 = 3

= x3 + 3x - 1

Xn+1 = (1-x²³2)

= u = cos[(2×360° + 120°)/3] I sin[(2×360° + 120°)/3]

I sin 280° plus cos 280°

I = 280° - cos 280°

x = u + v

= 2 cos 280°

The iterative formula, which is a rough solution to the equation x3 + 3x - 1 = 0, is 2 cos 280°.

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To clear the fractions, multiply 1/5 by 3 to make 3/15.

Then, combine the two fractions since they have the same denominator to make 3-2y/15.

To rid of this final fraction, multiply both sides of the equation by 15 to make 3-2y=165

(165 is 11•15)

Using the empirical method, the range of times that equates to the centre 68% of Audrey's 400 metre finishing times is between 67.5 and 68.5 seconds.

The percentage all values that fall in just an interval containing 68%, 95%, and 99.7% of such values comes within one, two, or 3 different deviations of both the mean of a distribution, following the empirical rule, commonly known as the 68-95-99.7 rule.

The stated data:

According to the Empirical Rule, 68% of data collected from observations of a normal distribution are within one standard deviation of its mean.

The range of times that corresponds to the centre 68% of his 400-meter finishing times is as follows:

= P(68 - 0.5 < x < 68+ 0.5)

= P(67.5 < x < 68.5)

Accordingly, the range of times that, according to the empirical rule, reflects the centre 68% of Audrey's 400 metre finishing times is the one from 67.5 to 68.5 seconds.

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