What is the FICA tax on an income of $47,000? Remember that FICA is
taxed at 7.65%

Answer:

The credit card purchase price of the same item is $87.5

Step-by-step explanation:

Here, we are interested in calculating the credit-card purchase price of an item if we are given the cash price

Since there is a 4% discount on the cash; the percentage paid will be 100-4% = 96%

So what we are saying is that, it is 96% of the credit cash purchase that was paid as cash;

Let the credit card purchase be $x

96% of x = 84

96/100 * x = 84

96x = 100 * 84

x = 8400/96

x = 87.5

Thus, the credit card purchase price of the same item is $87.5

Answer:

x = 9

Step-by-step explanation:

\(2x + 3 = 3x - 6\)

\(3 = x - 6\)

\(x = 9\)

The total amount of fees for each bank is First state bank = $8, National bank = $12.50, and third city bank = $9.

The fundamentals of mathematics are arithmetic operations. Operations like addition, subtraction, multiplication, and division make up the majority of it. Sometimes referred to as mathematical operations, these. In daily life, we employ mathematical operations to calculate overall business revenue and costs, create monthly or yearly budgets, measure distances, and more. We use them nearly constantly throughout the day. For instance, we use them to calculate the overall amount of homework problems, time, money, the number of chocolates we ate, the total number of grades we received across all courses, etc.

Given that, one month you write 5 checks and use bank's ATM machine 3 times, you use a non bank ATM twice and your debit card 8 times

The total amount for first state bank is:

C = 5(1) + 3(1) = $8

The total amount for National bank is:

C = 12.50

The total amount for third city bank is:

C = 3(1) + 8(0.75) = 9

Hence, the total amount of fees for each bank is First state bank = $8, National bank = $12.50, and third city bank = $9.

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Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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Answer:

the answer is *a sorry if wrong

Answer:

C

Step-by-step explanation:

Answer:

It’s C

Step-by-step explanation:

trust

Answer:

I will answer one of them! Let's do... number 2.

Step-by-step explanation:

Conjecture: Each number increases by 5 each time.

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

Changing the value of "a" in the quadratic function affects the vertical stretch or compression and the direction of the opening of the parabola, compared to the graph of the quadratic parent function.

What is function?

A relationship or expression involving one or more variables

The function g(x) = 6x^2 is a quadratic parent function, which means it is the simplest form of a quadratic function.

When we change the value of "a" in the general form of a quadratic function:

f(x) = ax^2 + bx + c

we change the shape of the graph of the function. Specifically, changing the value of "a" stretches or compresses the graph vertically, and changes the direction of the opening of the parabola.

If "a" is positive, the parabola opens upwards, and if "a" is negative, the parabola opens downwards. The larger the absolute value of "a", the more stretched or compressed the parabola becomes.

In the case of g(x) = 6x^2, "a" is positive and equal to 6, which means the graph is stretched vertically by a factor of 6 compared to the parent function. The parabola opens upwards and is narrower than the parent function.

If we were to change the value of "a" to a different positive value, for example "a" = 3, the graph would still open upwards but would be less stretched than g(x) = 6x^2. On the other hand, if we were to make "a" negative, for example "a" = -6, the graph would open downwards, and be a reflection of the graph of g(x) = 6x^2 about the x-axis.

In summary, changing the value of "a" in the quadratic function affects the vertical stretch or compression and the direction of the opening of the parabola, compared to the graph of the quadratic parent function.

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So,

The function of population is given by:

Since t is the number of years after 1995.

If we want to find the population in 2015, we could replace t by 20 in the function:

Therefore, the projected population in 2015 is 138,750 people.

The appropriate null and alternative hypotheses for testing the claim that the mean recovery time for patients after the new surgical treatment is more than 72 hours can be stated as follows:

Null Hypothesis (H₀): The mean recovery time for patients after the new surgical treatment is equal to or less than 72 hours.

Alternative Hypothesis (H₁): The mean recovery time for patients after the new surgical treatment is greater than 72 hours.

Symbolically, the hypotheses can be represented as:

H₀: μ ≤ 72

H₁: μ > 72

Where μ represents the population mean recovery time for patients after the new surgical treatment.

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Answer:

Prolly faster than the flash

Step-by-step explanation:

:)

Answer:

the answer is A) -7

Step-by-step explanation:

-7 is the y-intercept

Answer:

-1 9/10

Step-by-step explanation:

-3/10q - 8/5q + 9 = 10

-3/10q - 16/10q + 9 = 10

-19/10q + 9 = 10

-19/10q = 1

-19 = 10q

-19/10 = 10q/10

-1  9/10 = q

To find the value of x and the standard deviation, we can use the information given in the frequency distribution and the mean.

Given:

Mark: 1 2 3 4 5 6 7

Frequency: 2 4 6 9 X 9 4

Mean: 4.5

To find the value of x, we need to determine the frequency of x. Since the mean is given as 4.5, we can calculate the sum of the products of each mark and its corresponding frequency:

Sum = (1 * 2) + (2 * 4) + (3 * 6) + (4 * 9) + (5 * X) + (6 * 9) + (7 * 4)

Since the mean is given as 4.5, the sum divided by the total frequency should equal 4.5:

Sum / Total Frequency = 4.5

Solving the equation, we have:

Sum = 4.5 * Total Frequency

Now we can substitute the given frequencies into the equation and solve for x:

(1 * 2) + (2 * 4) + (3 * 6) + (4 * 9) + (5 * X) + (6 * 9) + (7 * 4) = 4.5 * (2 + 4 + 6 + 9 + X + 9 + 4)

Simplifying the equation, we have:

2 + 8 + 18 + 36 + 5X + 54 + 28 = 4.5 * (34 + X)

2 + 8 + 18 + 36 + 5X + 54 + 28 = 153 + 4.5X

Simplifying further, we get:

151 + 5X = 153 + 4.5X

0.5X = 2

X = 4

Therefore, the value of X is 4.

To calculate the standard deviation, we need to determine the variance first. The variance can be calculated using the formula:

Variance = [(Σ(x - μ)^2 * f) / N]

Where Σ denotes the sum, x represents each mark, μ is the mean, f is the frequency, and N is the total frequency.

Substituting the values into the formula, we get:

Variance = [(1-4.5)^2 * 2 + (2-4.5)^2 * 4 + (3-4.5)^2 * 6 + (4-4.5)^2 * 9 + (5-4.5)^2 * 4 + (6-4.5)^2 * 9 + (7-4.5)^2 * 4] / (2 + 4 + 6 + 9 + 4 + 9 + 4)

Calculating the variance, we find:

Variance = 2.75

Finally, the standard deviation can be found by taking the square root of the variance:

Standard Deviation = √Variance

Standard Deviation = √2.75

Standard Deviation ≈ 1.66

Therefore, the standard deviation is approximately 1.66.

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Answer:

1/2

Step-by-step explanation:

1/4 : 1/2 = ? : 1

=> 1 : 2 = ? : 1

=> 1 : 2 = 1/2 : 1

The value of first quartile of the given data set is 2.5

The lower quartile, or first quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order.

Given is a data set,

According to the data,

The lower quartile is between 0 and 2.5, which under 25% of the data.

Hence, The value of first quartile of the given data set is 2.5

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Answer:

1=76°

2=76°

3=36°

Step-by-step explanation:

To find 1, add the other angles in the triangle and subtract by 180.

85+19=104

180-104=76.

1 is equal to 2 so 2=76

To find 3, add 76 and 68, then subtract by 180.

76+68=144

180+144=36

3=36

Hope this helps!

If not, I am sorry.

Answer:

m∠1 = 76°

m∠2 = 76°

m∠3 = 36°

Step-by-step explanation:

The interior angles in a triangle sum to 180°

⇒ m∠1 + 85° + 19° = 180°

⇒ m∠1 + 104° = 180°

⇒ m∠1 + 104° - 104° = 180° - 104°

⇒ m∠1 = 76°

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

⇒ m∠2 = m∠1

⇒ m∠2 = 76°

The interior angles in a triangle sum to 180°

⇒ m∠2 + m∠3 + 68° = 180°

⇒ 76° + m∠3 + 68° = 180°

⇒ m∠3 + 144° = 180°

⇒ m∠3 + 144° - 144°= 180° - 144°

⇒ m∠3 = 36°

1) Associative

2) Reversal

3) Addition

4) Commutative

5) Multiplicative Inverse

6) Additive Inverse

7) Reversal

8) Substitution

RATE AS BRAINLIEST

1) Associative

2) Reversal

3) Addition

4) Commutative

5) Multiplicative Inverse

6) Additive Inverse

7) Reversal

8) Substitution

True. The statement "if the range of feasibility indicates that the original amount of a resource, which was 20, can increase by 5, then the amount of the resource can increase to 25" is true.

When a range of feasibility is given, the lower and upper bounds of the values that can be chosen for the variables in a linear programming problem are given. The range of feasibility reflects the range within which the optimum answer can be found. It is a parameter that measures the extent to which the variables can change and still allow the same optimal answer to be obtained. In this case, the range of feasibility suggests that the initial amount of a resource was 20 and could be increased by 5, implying that the total amount of the resource can be 25. Therefore, statement is true.

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The probability that the chicken hatches at least two eggs is 0.406.

The problem states that the number of eggs a chicken hatches is a Poisson random variable. Let λ be the expected number of eggs hatched. Since the probability of hatching no eggs is 0.10, we can set up an equation:

P(X = 0) = e^(-λ) * λ^0 / 0! = 0.10

Solving for λ, we get λ ≈ 2.303. Therefore, the probability of hatching exactly k eggs is:

P(X = k) = e^(-λ) * λ^k / k!

Using this formula, we can calculate the probability of hatching at least two eggs:

P(X ≥ 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

Plugging in the values, we get:

P(X ≥ 2) = 1 - e^(-λ) * λ^0 / 0! - e^(-λ) * λ^1 / 1! = 0.406

Therefore, the probability that the chicken hatches at least two eggs is 0.406

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The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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There are 430 non square numbers that lie between \(215^{2}\) and \(216^{2}\).

Given two numbers \(215^{2}\) and \(216^{2}\) and we are require to find non square numbers that lie between them.

Numbers can be consecutive numbers or non consecutive numbers. In our question we will find the consecutive numbers.

Square numbers are those numbers whos square is in a proper number means decimal should not be there.

First number=\(215^{2}\)

Second number=\(216^{2}\)

First we have to find the exact value of numbers by finding the square of these numbers.

First number=215*215=46225

Second number=216*216=46656

Numbers that  lie between them=(46656-46225)-1

=431-1

=430

Hence 430 numbers lie between \(215^{2}\) and \(216^{2}\).

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Answer:

1B 2D 3E 4A 5C

Step-by-step explanation:

For integer, whole and natural numbers, check this link out.

0.050505.. is repeating decimal, therefore it's a rational number

√19 is irrational number because 19 is not a square number.

Answer:

1. b

2. d

3. e

4. a

5. c

hope it helps

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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The length of the rectangle is 3 cm

From the question, we are to determine the value of the length of the rectangle

To find the length of the rectangle, we will determine the value of x in the given equation

The given equation is

\(x^{2} + 5x =24\)

This can be written as

\(x^{2} +5x -24 =0\)

Factorizing

\(x^{2} +8x - 3x -24 = 0 \)

\(x(x+8) -3(x+8)=0\)

\((x-3)(x+8)=0\)

Then,

\(x-3 = 0\) OR \(x + 8 = 0\)

x = 3 OR x = -8

Since, the length of the rectangle cannot be negative, the value of x is 3.

Hence, the length of the rectangle is 3 cm.

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