Math of Finance: Chapter 2 Test
When we left James, he had decided to take a job at Jimmy John's as a sandwich artist with an expected salary of
$31,200 per year. James is really looking forward to the pay increase to help take care of his wife and two kids
After working four weeks, he gets his first check. It is much less than he expected. It turns out he will only get paid
for two weeks because Jimmy John's has a delayed paying process. Everyone gets paid two weeks after they work to
give Human Resources time to prepare the tax information. Since James gets paid every two weeks, a)what is his
gross income for his checks? His pay was much less. It tums out, other people get his money first. He had to pay
Federal Income Tax. b)Use the chart on the back of the test to determine his FIT. He also has to pay State
Income Tax. Oklahoma has a flat 5% tax. c)What is his SIT at 5% of his paycheck? Also, something called FICA
was on his paystub. His employer told him it was a required 6.2% tax for Social Security Retirement and a 1.45%
tax for Medicare when he gets older. d)Find James' Social Security Tax. e)Find his Medicare Tax. What is the
amount of FICA Tax listed as being withheld(add together)? Next came the big schock. Apparently, the
Republican Party still hasn't ended required healthcare. Because of this, James has to pay for group insurance with
Jimmy John's. It is $100 every paycheck, g)what percent of James' gross income is this each month? Finally,
James looks at the other category. It has two deductions listed. First, it has Sandwich Union Body Dues. Annual
dues are $130. h)How much was taken out for SUB dues just this paycheck? The second charged deduction for
other was IRA Retirement. He remembers signing up because Jimmy Johns' offers a matching 5%. If James' is
maximizing the match, i)how much is being taken out for retirement from his paycheck? After going over all the
numbers with his boss, it looks like James' check is correct. j)How much was his net income? If these numbers
remain consistent through the year, k)how much will James bring home for the year? DWhat percent of his
expected salary is this? James was really looking forward to his big paycheck. He thought he would have enough
money to get a loan on a new car. m)Do you think he should try to get the loan or not? n>Explain your opinion.

Answer: 275,400

Step-by-step explanation:

- First we do 18 multiplied by 20 which would get us the answer of 360

- Next we do 45 multiplied by 17 which would get us the answer of 765

- Now we multiply both 360 and 765 and get the answer of 275,400

The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

How to solve for the airplane's groundspeed

To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.

Let's denote:

Vp = airplane's speed = 250 km/h

θp = airplane's heading = 075 degrees

Vw = wind's speed = 85 km/h

θw = wind's heading = 300 degrees

We can then find the eastward (x) and northward (y) components of the velocities:

For the airplane:

Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h

Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h

For the wind:

Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h

Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h

We then sum the x and y components of the two velocities to find the resultant velocity components:

Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h

Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h

The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:

Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h

The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:

θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees

Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

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The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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A U B = {a, b, c, d, e, x, y, z}

A ∩ B = {b, e, y}

a. B - A is the complement of A in B; that is, from set B, we remove any elements found in A. Both sets contain b, e, and y, so if B - A = {x, z}, then

B = {b, e, x, y, z}

and so A makes up the rest of the given union,

A = {a, b, c, d, e, y}

b. A and B are non-empty, since their union and intersection are also non-empty. So if A - B = ∅, this means A contains all the elements of B, though B may have more elements than A. In other words, A is a subset of B, which means A U B = B. So

B = {a, b, c, d, e, x, y, z}

c. If B = {b, e, y, z}, then A makes up the rest of their union,

A = {a, b, c, d, e, x, y}

Then

A - B = {a, c, d, x}

Functions play a central role in mathematics and are fundamental to understanding how quantities are related and how mathematical operations can be applied to different values. They provide a powerful tool for analyzing and solving a wide range of problems.

a. If B - A = {x, z}, then A = {a, b, c, d, e}

b. If A - B = 0, then B = {b, e, y, z}

c. If B = {b, e, y, z}, then A - B = {a, c, d}

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Answer:

Mean= $21.5067

Median = $15.8

Standard deviation= $19.02

Coefficient of skewness= $0.8991

Step-by-step explanation:

Mean =( $4.0 +$6.0 +$7.4+ $10.6 +$12.5+ $13.6+ $15.4+ $15.8 +$16.8

+$17.4+ $19.1 +$22.3+ $37.1 +$43.2 +$81.4)/15

Mean =$ 322.6/15

Mean= $21.5067

Median= middle number

Median = $15.8

Variance=( ($4.0-.$21.5)²+( $6.0. -.$21.5)²+( $7.4 -.$21.5)²+( $10.6 -.$21.5)²+( $12.5 -.$21.5)²+( $13.6. -.$21.5)²+ ($15.4 -.$21.5)²+( $15.8 -.$21.5)²+ ( $16.8 -.$21.5)²+ ($17.4-.$21.5)² +($19.1 -.$21.5)²+ ($22.3 -.$21.5)²+ ($37.1 -.$21.5)²+ ($43.2-.$21.5)²+( $81.4-.$21.5)²)/15

Variance=$ 5424.79/15

Variance=$ 361.65

Standard deviation= √ variance

Standard deviation= √361.65

Standard deviation= $19.02

Coefficient of skewness

=3( mean-median)/standard deviation

= 3(21.5-15.8)/19.02

= 3(5.7)/19.02

= 17.1/19.02

Coefficient of skewness= 0.8991

the answer is D : 4

According to the problem statement, one side of the rectangle is of length 5 cm. The other side can have any length greater than 4 cm (since the area of the rectangle should be greater than 4 cm^2).

Let's call this other side "x".

We know that the area of a rectangle is given by the formula A = l*w, where l is the length and w is the width.

Therefore, we can write the equation: 5*x = A, where A is the area of the rectangle.

We can also say that the area of the square and the rectangle is equal to 4 cm^2.

If we call the side of the square "y", then we can write the equation: y^2 = 4 cm^2.

Solving for y, we get: y = 2 cm.

Therefore, the length of the rectangle that can be cut into a square and a rectangle of area 4 cm^2 is 5 cm - y = 5 cm - 2 cm = 3 cm.

So, there are 4 possible rectangles that can be cut into a square and a rectangle of area 4 cm^2: (5,3), (3,5), (6,4), and (4,6).

So the answer is D : 4

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Answer: Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

Set up equation before taxes.

y = x - 1500        eq1

Set up equation for total tax paid.

0.065x + 0.06y = 378.75         eq2

Substitute eq1 into eq2.

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

       x = 3750

Substitute this value of x into eq1.

y = 3750 - 1500

y = 2250

The hotel charge in city one is $3750 and the hotel charge in city two is $2250.

Step-by-step explanation:

Answer:

6n+2

Step-by-step explanation:

The expression is equivalent to the expression (12 + 3) ÷ 5 is (3 + 12) ÷ 5

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

(12 + 3) ÷ 5

The above expression is a quotient expression

However, we can apply some algebraic properties

Take for instance;

12 + 3 can be expressed as 3 + 12

So, we have

(12 + 3) ÷ 5 = (3 + 12) ÷ 5

Hence, the expression is equivalent to the expression is (3 + 12) ÷ 5

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After solving the equation, the value of y obtained is equal to 10°.

An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol ∠.

Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.

As per the information obtained from the given figure,

Angle, C = 4y

Angle, E = 180 - 116 = 64 and,

Angle, D = 7y + 6

As we know, the sum of the angles of a triangle is 180°.

Then,

4y + 64 + 7y + 6 = 180

11y = 180 - 70

11y = 110

y = 110/11

y = 10°

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Answer:

21.3 seconds

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

21.3 seconds

Step-by-step explanation:

600 ft (200 yds x 3) divided by 90 ft (length to a base) would be 6.6666667

6.6666667 times 3.2 equals 21.3

iinm

Answer:

7z-1 hope this helps

Step-by-step explanation:

Answer:

8,000

Step-by-step explanation:

you have to move the decimal to the right 3 times. so you take 8 and move the decimal 3 times. which gives you 8000.

or 8,000

The solution is: 8x10^3 in standard notation is 8,000.

Here, we have,

given that,

the expression is: 8 x 10^3

now, we have to write 8 x 10^3 in standard notation.

we know that,

A standard notation is a form of writing a given number, an equation, or an expression in a form that follows certain rules.

For example, 4.5 billion years is written as 4,500,000,000 years.

we know,

To change a number from scientific to standard notation, move the decimal point the number of places shown in the exponent of 10.

here, we have,

8 x 10^3

= 8 x 1000

so, we have to move the decimal to the right 3 times. so we take 8 and move the decimal 3 times. which gives 8000.

we get,

8 x 10^3 = 8000

Hence, The solution is: 8 x 10^3 in standard notation is 8000.

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Answer:

c would have to be your answer

Step-by-step explanation:

Answer:

2/15.99 = 0.34 euros is the right answer.

Step-by-step explanation:

Just :    5,8374

the transformation ABC is not similar to A”B”C”. hence the statement is false.

We say the statement is false because the ratios of the grid squares are not similar.

We notice that the first triangle is up to over 3 and the other triangle is up 4 over 4 so in order for them to be similar the first triangle would have to be up 3 over 3.

A transformation is described as  a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

#complete question:

Please help this is due today and I’m so stressed!I will mark Branliest!!!

Tanya performs two transformations on ABC to form A"B"C" as shown on the coordinate grid below.

True or False:ABC is similar to A”B”C”?

Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.

The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

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Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

9514 1404 393

Answer:

  (a) two points

Step-by-step explanation:

The curve of a circle can only intersect another circle at a point or in an arc. The intersection will only be an arc if the circles have the same center and radius (are the same circle).

Different circles can only intersect each other at one or two points. Three different circles can intersect in one or two points. The 2-point case is shown in the attachment.

The equation of the amount charged by Bob will be y = 7.25x.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given that:-

The equation will be generated as follow:-

6 hours  =  $  43.50

1 hours   =  $  7.25

9 hours   =  $ 65.2575

1 hours    =  $ 7.25

Let x represent the number of hours Bob works and y represent the amount he charges. The equation will be:-

y  =  7.25x dollars.

Therefore the equation of the amount charged by Bob will be y = 7.25x.

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Answer:P=408/A=9,920

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Answer:

0/0

Step-by-step explanation:

Unsure, used a calculator to help