You have a job with a gross pay of $49946.
to answer the following questions based on the 2021 federal income tax brackets:

a. What is your tax bracket?
%
b. How much do you owe for federal taxes on:
filled tax brackets?
$

the partially filled tax bracket?
$

The numeric value of the exponential function at x = 19.5 is given as follows:

f(19.5) = 178.41.

The standard definition of an exponential function is given as follows:

y = ab^x.

In which:

Considering that f(4.5) = 25 and f(14) = 85, the two equations are given as follows:

Hence:

a = 25b^(-4.5).

Then the value of b is obtained as follows:

25b^(-4.5)b^(14) = 85.

b^(9.5) = 85/25

b = (85/25)^(1/9.5)

b = 1.14.

Then the value of a is obtained as follows:

a = 25 x (1.14)^(-4.5)

a = 13.86.

Then the function is defined as follows:

y = 13.86(1.14)^x.

At x = 19.5, the numeric value is given as follows:

y = 13.86(1.14)^19.5

y = 178.41.

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The required value of  "regression constant" is 7.

Y = a + b X + e is the formula for the regression equation. The dependent variable (Y), which is being predicted or explained, has a value of Y. a, or Alpha, is a constant; it equals the value of Y when the value of X is 0, and b, or Beta, is a coefficient of X; it determines how much Y varies for each unit change in X and determines the slope of the regression line.

In a linear regression equation, the regression constant (also called the intercept) represents the predicted score when the predictor variable has a value of 0. In this scenario, the predicted score for a person with a predictor variable score of 0 is 7.

Therefore, the regression constant is 7.

The regression constant is usually combined with the regression coefficient of the predictor variable to form the complete regression equation, which is used to predict scores for individuals with different values of the predictor variable.

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There are no shared functions between the cardiovascular system and the endoplasmic reticulum of the cell.

The endoplasmic reticulum is an organelle within cells that plays a role in protein synthesis, lipid metabolism, and other cellular processes. It does not transport materials around the body or filter wastes.

The endoplasmic reticulum is equipped with a complex network of pathways designed to meet the needs of the cell's secretory and integral membrane protein manufacturing processes. It also has adaptive responses prepared for the endoplasmic reticulum to rely on under stressful situations.

Because to the complexity and necessity of these pathways, a variety of conditions can result in a defective endoplasmic reticulum and a dysfunctional cell, which may advance disease.

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The expression that represents the cost to the border will be 16L - 8.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides.

Perimeter of the rectangle = 2(L + W) units

A rectangular fountain has a length of L meters and a width of 3 meters less than its length. Then the equations are given as,

W = L - 3

The perimeter of the rectangle is given as,

P = 2(L + L - 3)

P = 2(2L - 3)

P = 4L - 6

The amount of money that is required for bordering the fountain is given as,

⇒ 4 × [4L - 6] + 4 × 4

⇒ 16L - 24 + 16

⇒ 16L - 8

The expression that represents the cost to the border will be 16L - 8.

And the diagram is given below.

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The approximate arc length is 56.52mm.

What is an arc length?

The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc section by simulating it with connected line segments. There are a finite number of segments in the rectification of a rectifiable curve.

Here, we have

Given: A bicycle wheel has a radius of 225 mm and has 25 equally spaced spokes.

To solve this question, we have to use the formula of the length of an arc which is given as

L = θ/360 * 2πr

To find the angle between each spoke, let's divide 360 by 25

θ = 360/25

θ = 14.4

Now that we have the value of the angle, let's substitute it and solve for the length of the arc.

L = 14.4/360 * 2(22/7)(225)

L = 56.52mm

Hence, the approximate arc length is 56.52mm.

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Answer:

2

Step-by-step explanation:

Line MN ≅ Line LK

Since Line MN ≅ Line LK, that means the diagonals must be congruent ∴ MK ≅ NL.

Now that we know MK ≅ NL, we can set them equal to each other.

MK = [tex]16[/tex]

NL = [tex]7x + 2[/tex]

[tex]16=7x+2\\14=7x\\2=x[/tex]

Therefore, 2 is your final answer.

The depreciation of the vehicle at third year with miles driven 10,000 is $590.

A fixed asset's depreciated cost is equal to its value less the total amount of accumulated depreciation that has been recorded against it.

The depreciated cost is used to calculate an asset's value after its useful life is over.

The depreciated cost helps organizations examine their capital spending patterns and their accounting technique.

The depreciated cost is also known as the "residual value," "net book value," or "changed cost base."

The depreciation cost per mile for the third year is given as 5.9 cents.

The miles driven = 10,000

The depreciation for the vehicle is:

(5.9)(10,000) = 59000 cents.

Converting into dollars:

59000/100 = $590.

Hence, the depreciation of the vehicle at third year with miles driven 10,000 is $590.

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Answer:

Step-by-step explanation:

5=cx-ax=x(c-a)

x(c-a)/5=1

(c-a)/5=1/x

x=5/(c-a)

Answer:

Option C. (x + 5)

Step-by-step explanation:

This quadratic equation can either be solved using the quadratic formula or be factorised using The Double Bubble Method.

Double Bubble Method:

After listing the different pairs of factors 10, the pair (that would add together to give 7) are 2 and 5. These two factors will be used to rewrite +7x:

[tex]x^{2} + 2x + 5x + 10[/tex]

Factorization by grouping (i.e factorising each separate group sharing a common factor) will then be applied:

[tex]= x(x + 2) + 5(x + 2)[/tex]

The common factor, which is the (x + 2) expression, will be extracted:
[tex]= (x + 2)(x + 5)[/tex]

∴ [tex]x^{2} + 7x + 10[/tex] can be factorised to [tex](x + 2)(x + 5)[/tex]

It is observed that a factor of the given quadratic equation is x + 5

∴Option C

The expression for its distance d (measured in feet) from the intersection t seconds later is d = x + 79200 t (feet)

Since the balloon is moving due east, we only need to consider its horizontal motion, ignoring its vertical motion at a constant altitude of 95 feet.

Let's call the initial distance of the balloon from the intersection x. The distance of the balloon from the intersection t seconds later can be found using the formula for distance traveled at a constant speed:

d = x + vt

where v is the speed of the balloon (15 miles per hour) and t is the time elapsed (in hours). To convert the speed from miles per hour to feet per second, we can multiply by the conversion factor of 5280 feet per mile:

d = x + (15 miles/hour) * (5280 feet/mile) * (t hours)

d = x + (15 * 5280) t feet

d = x + 79200 t feet

So the expression for the distance of the balloon from the intersection t seconds later is:

d = x + 79200 t (feet)

Note: In this expression, x represents the initial distance of the balloon from the intersection, which is unknown.

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A. The amount deducted from Frank's bank every years is $59700

B. The salary of the tax will be $99500.

C. Tax deducted from her new pay is $39800

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

a. 79600 - (79600 × 25%)

$59700

b. The formula for simple interest is:

S = p*t*r/100

p = 79600

r = 25%

t=1

S = 79600*1*25/100 = 19900

New salary = 79600 + 19900

= $99500

Hence the salary of the tax will be $99500.

c. 99500 - 59700

 = $39800

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Answer:

50

Step-by-step explanation:

4x10=40.

5x10=50

Answer:

Step-by-step explanation:

To increase a quantity in a given ratio, we can follow these steps:

Step 1: Find the total increase in the quantity.

Suppose the original number of books is "b". The total increase in the number of books is 40, so:

b + 40 = b

Step 2: Divide the total increase into two parts in the given ratio.

In this case, the ratio is 5:4, so we can divide the increase of 40 into two parts in the ratio 5:4. Let's call the first part "x". Then, the second part is 40 - x.

The first part (5x) is 5 times the second part (4x), so:

5x = 4(40 - x)

Step 3: Solve for x.

Expanding the right side:

5x = 160 - 4x

Adding 4x to both sides:

9x = 160

Dividing both sides by 9:

x = 40/9

Step 4: Find the new number of books.

The first part of the increase (x) is 40/9, and the second part (40 - x) is 40 - 40/9 = 40 * 9/9 - 40/9 = 40 * 8/9. The new number of books is the original number plus the two parts of the increase:

b + 40/9 + 40 * 8/9 = b + 40

So, the new number of books is b + 40.

The equation and solution that represents the number of bags of cans of aluminum cans for recycling that Sara collects, given that Miri collects 3x cans as Sara, is x = 123/3, which is 41.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

Mathematical expressions contain variables, constants, numbers, and values using mathematical operands.

Equations differ from mathematical expressions based on the use of the equation symbol (=).

The number of bags of aluminum cans collected by Sara = x

The number of bags of aluminum cans collected by Miri = 3x

3x = 123 bags

The equation representing the number of bags of cans Sara collects x = 123/3

x = 41 (123/3)

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The statements about the number -27 that are true are given as follows:

Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.

Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots.

Integer numbers are numbers that have no decimal part, hence -27 is an example of an integer number, which are also rational numbers.

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Gaining instructional control is an important aspect of teaching and behavior management.

Instructional control is a term used in behavior analysis to describe a situation in which a teacher or other instructional agent has established the conditions necessary for effective teaching to occur.

Here are some strategies that can help you gain instructional control:

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Answer:

The statement "x = -2" is correct. Marisa correctly solved the equation -3 = 6x by dividing both sides by 6 to find that x = -2.

Step-by-step explanation:

Answer:

14 and 19

Step-by-step explanation:

14+5=19

14+19=33

a. The number of pizzas the pizzeria must sell today for employees to receive the bonus will be 78 pizza.

b. The percent decrease in the number of pizzas sold today compared to yesterday is 7.69%.

a) To determine the number of pizzas the pizzeria must sell today for employees to receive the bonus, we need to calculate 20% of the 65 pizzas sold yesterday. 20% of 65 pizzas is 0.20 * 65 = 13. So, the pizzeria must sell 65 + 13 = 78 pizzas today for employees to receive the bonus.

b) To calculate the percent increase or decrease in the number of pizzas sold today compared to yesterday, we need to divide the difference between the two days' sales by the number of pizzas sold yesterday and multiply by 100.

((60 - 65) / 65) * 100

= (-5 / 65) * 100

= -7.69%

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Answer:
5.6%

Step-by-step explanation:

2/100 x 100 = 2
100-2 = 98 Boys on new Honor Roll
1/10 x 80 = 8
80-8 = 72 Girls on  new Honor roll
180 Original Roll
170 On new Roll
x/100 x 180 = 170
x/100 = 17/18
x = 1700/18
x = 94.4444444
Round 94.4
5.6 percent decrease.

Answer:

The greatest integer solution to the inequality 1 < (c - 1)^2 ≤ 36 is c = 6.

Step-by-step explanation:

The graph of ordered pairs (0, -5), (1, -3), (2, -1), (3, 1) is given below.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is y=2x-5.

Substitute x=0, 1, 2, 3, 4, ..... in the equation y=2x-5, we get

When x=0,

y=-5

When x=1,

y=-3

When x=2,

y=-1

When x=3

y=1

So, the ordered pair is (0, -5), (1, -3), (2, -1), (3, 1) and so on.

Therefore, the graph of ordered pairs (0, -5), (1, -3), (2, -1), (3, 1) is given below.

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On solving the provided question we can say that the quadratic equation is  3x²+15x+9=0

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation is 3x²+15x+9=0

by Shridhara Charya formula method, we have

x=−0.697224

x=−4.30278

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351 and 1053 are the next terms of geometric sequence  13, -39, 117...

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given series is 13, -39, 117..

We need to find the fourth and fifth terms of the sequence.

The given sequence is geometric sequence.

Geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The general term of sequence [tex]a_{n} =ar^{n-1}[/tex]

r is the common ratio

r=-39/13

=-3

a=13 first term

a₄=13(-3)³

a₄=13(-27)

Fourth term is 351.

Now plug in n as 5 to find 5th term.

a₅=13(-3)⁴

a₅=1053

Hence, the next two terms of geometric sequence are 351 and 1053.

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Answer:

Step-by-step explanation:

A = l x w

A = 105.1m x 67.1m

A = 7052.21m

Convert to yds.

7052.21 / 0.9144  =  7712.4

To the nearest whole, the area is 7712 yds2.

The cost of one pound of potato is 0.73 pounds.

The mathematical field of algebra assists in the depiction of problems or conditions as mathematical statements. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Now in the given question , we have to find the cost of one pound of potato.

here we have to find the cost of one pound of potato mia bought.

she total spent $3.65 for them and bought five pounds of potatoes.

cost of one pound of potato

= [tex]\frac{total spent}{total bought} = \frac{3.65}{5} =0.73 pounds[/tex]

 hence, cost of one pound of potato is 0.73 pounds.

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The ratio 10:35 can be simplified to 2:7.

A ratio in mathematics demonstrates how many times one number is present in another.

For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

The ratio 10:35 can be simplified to 2:7.

To simplify a ratio, you can divide both values by the greatest common factor. In this case, the greatest common factor of 10 and 35 is 5, so 10 divided by 5 is 2, and 35 divided by 5 is 7.

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Simply the following ratio 10:35

Let's consider what the question asks for:

   --> the length of 'y'

To solve:

 --> we need to use trigonometry

     --> let's determine which function to use based on the image given

           below

         --> (look at image attached)

Let's use angle with measure of 53:

 --> the side with length of 'y' is adjacent to it

       [tex]cos(53)=\dfrac{y}{10} \\\\y=10*cos(53)=6.02[/tex]

Thus the length of that particular side is about:

 --> 6.0

Answer: 6.0

Answer:258 containers

Step-by-step explanation:

Simply,

16770/65=258.

Hope this helps :]

The mean number of domestic applicants that Jenny selects is exactly 9.5, and the standard deviation is approximately 1.932

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

This is a problem involving a hypergeometric distribution since we have a fixed population (all applicants), two groups within the population (domestic and international students), and a fixed number of samples (20 students to be admitted).

Let X be the number of domestic applicants that Jenny selects this year. Then X follows a hypergeometric distribution with parameters N = 80 (total number of applicants), K = 38 (number of domestic applicants), and n = 20 (number of students to be admitted).

The mean of X is given by μ = nK/N, and the standard deviation of X is given by,

σ = √(nK(N-K)/(N²(N-1))).

Substituting the given values, we get:

μ = (20 x 38)/80 = 9.5

σ = √(203842/(80² x 79)) ≈ 1.932

Therefore, the mean number of domestic applicants that Jenny selects is exactly 9.5, and the standard deviation is approximately 1.932.

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