Suppose you paid 411⁄8 for 72 shares of Buzz stock and sold them at 491⁄4. The total brokerage fee was 1⁄8 dollar per share and all other charges amounted to $32.52. a. What was the amount of your profit? b. What was the percent of profit, based on your investment?

Answer:

x° = 139

step 1 :

180 - (37 + 38)

= 180 - 75

= 105°

step 2 :

180 - 105

= 75°

step 3 :

180 - 116

= 64°

step 4 : this step to find the value of x

x° = 180° - (64 + 75)°

= 180° - 139°

= 41

x° = 41

9514 1404 393

Answer:

  center: (1/2, 6)

  radius: √5

Step-by-step explanation:

The standard form equation for a circle of radius r and center (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

When we compare this to the given equation:

  (x -1/2)^2 +(y -6)^2 = 5

we see that h=1/2, k=6, and r^2=5.

The center is (h, k) = (1/2, 6); the radius is √5.

77 feet^2

Explanation:

Area of the wall is

8 2/5 × 18 1/3

42/5 × 55/3

14/5 × 55/1

14/1 × 11/1 = 154 feet^2

The area we want is half of this

77 feet^2

Hope this helps and answer you question

Answer:

Step-by-step explanation:

-1760 is the answer 83 times 83 minus 93 times 93 is -1760

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Answer:

Step-by-step explanation:

5. (6.5 - 2)/(7 - 4) = 4.5/3 = 1.5

6. (8 - 8)/(-5 - 10)= 0/-15= 0

7. (-3 + .75)/(4 - 1) = -2.25/3 = -.75= -3/4

8. (2 + 7)/(18 - 18)= 9/0 = undefined

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

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Answer:

\( \frac{9}{50} \)

Step-by-step explanation:

We have one whole large square divided into 100 parts (there are 100 boxes).

18 of these boxes are shaded red, therefore, the fraction that represents the shaded areas = number of shaded area ÷ by the total boxes the square is made of

Fraction of shaded area = \( \frac{18}{100} \)

Simplify further:

\( = \frac{2*9}{2*50} = \frac{9}{50} \)

The fraction representing the shaded area \( = \frac{9}{50} \)

Given:

The expression is

\(\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}\)

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

\(\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}\)

It can be written as

\(=\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{1}{6}\)

Taking LCM, we get

\(=\dfrac{16-5-1}{6}\)

\(=\dfrac{10}{6}\)

\(=\dfrac{5}{3}\)

The mixed fraction of this improper fraction is

\(=\dfrac{1\times 3+2}{3}\)

\(=1\dfrac{2}{3}\)

So, the expression \(1\dfrac{2}{3}\) is equivalent to the given expression.

Therefore, the correct option is A.

Answer:

Gretta's Contribution = $52,500

Interest = $125,588.79

Step-by-step explanation:

Gretta contributes $125 each month, for 35 years. Therefore, to find the amount she contributed, we multiply those pieces together (12 months in each year).

125 x 12 x 35 = $52,500

Therefore, over the 35 years, Gretta contributed $52,500.

If there was $178,088.79 in her account, and she contributed $52,500, then the rest is interest.

$178,088.79 − $52,500 = $125,588.79

There was $125,588.79 in interest earned on Gretta's account.

Answer:

2.72 inches

Step-by-step explanation:

1040/8.5=122.35

1 inch on the map = 122.35 miles actual distance

333/122.35=2.72

Answer:

\frac{3+x\frac{-4}{4xy}}{4x}

4x

3+x  

4xy

−4

​

​

Step-by-step explanation:

Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

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The point of concurrency of the three median is the centroid of the triangle ABC.

Reasons:

The given parameters are;

The medians of the triangle ABC = Segments BF, CD, and AE

The  length of segment FK = 3.40

Length of segment EK = 1.63

Required:

The sum of the lengths of segment AK and BK

Solution:

The ratios of the lengths of AK to KE = 2:1

Therefore, we have;

\(\dfrac{AK}{KE} = \dfrac{2}{1} = \mathbf{\dfrac{AK}{1.63}}\)

1.63 × 2 = 1 × AK

AK = 3.26

Similarly, we have;

\(\dfrac{BK}{KF} = \dfrac{2}{1} = \mathbf{\dfrac{BK}{3.40}}\)

3.40 × 2 = BK

6.80 = BK

Which gives;

AK + BK = 3.26 + 6.80 = 10.06

The sum of the lengths of AK and BK = 10.06

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The required 7,000 gallons of gasoline which are 9% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 7% ethanol.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
To solve the problem, we can use the following formula:

(amount of ethanol in the final mixture) / (total amount of gasoline in the final mixture) = 7%

To find the amount of ethanol in the 2,000 gallons of gasoline with no ethanol:

ethanol in 2,000 gallons of gasoline with no ethanol = 0 × 2,000 = 0 gallons

Then, find the amount of ethanol in the final mixture:

ethanol in final mixture = (0.09x + 0 * 2,000) / (x + 2,000)

Notice that we use 0 gallons for the ethanol in the 2,000 gallons of gasoline with no ethanol, since it contains no ethanol.

Ethanol in the final mixture / total amount of gasoline in the final mixture = 7%

(0.09x + 0) / (x + 2,000) = 0.07

0.09x + 0 = 0.07(x + 2,000)

0.09x = 0.07x + 140

0.02x = 140

x = 7,000

Therefore, 7,000 gallons of gasoline which is 9% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 7% ethanol.

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According to a handy-dandy calculator it says it is 19.

Hope this helps! :)

Answer:

You see this how this confuses me.....no?.....well then the answer is clearly 9+10

Step-by-step explanation:

the answer to 9+10 will always be 9+10.

Answer:

A. t(n) = 20 + 60n

Step-by-step explanation:

$20 is the money Rob had before washing windows.

He earns $60 in each of the first three weekends. So he gains an additional $60 for each weekend.

n = the number of weekends

the total amount of dollars he will have is 20 + 60n

Answer:A. t(n) = 20 + 60n

Step-by-step explanation:

$20 is the money Rob had before washing windows.

He earns $60 in each of the first three weekends. So he gains an additional $60 for each weekend.

n = the number of weekends

the total amount of dollars he will have is 20 + 60n

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

We have,

To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.

The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.

This means that for every kiloliter, there are 33814.0227 fluid ounces.

To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).

= 6 kL x 33814.0227 fl oz/kL

= 202884.1362 fl oz

Therefore,

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

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To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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Answer:

\(x+y =14\\x-y =4\)

Step-by-step explanation:

\(Let -the -unknown- numbers -be ; x -and; y\\x+y =14\\x-y =4\)

From the statement, we know that:

0. Shen runs each lap in 4 minutes,

1. he will run ,at least, 48 minutes today ⇒ t ≥ 48 min.

(1) From point 1, we know that Shen's speed is:

(2) The speed (s) times the time (t), we get the # of laps (n):

n ≥ 12

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

The P-value is not given, we can use the information from the answer choices to deduce the P-value range. The correct answer is a. x² = 1.941; 0.15 < P-value < 0.20.

The researchers are conducting a chi-square test of independence to determine if there is a relationship between being a vegetarian and having a favorite season. To calculate the test statistic, we need to compare the observed counts with the expected counts for each cell and then sum these values.
The formula for the chi-square test statistic is:
χ² = Σ [(O - E)² / E]
where O is the observed count and E is the expected count for each cell.
Calculating the test statistic:
χ² = [(6-8.4)²/8.4] + [(78-75.6)²/75.6] + [(9-6.4)²/6.4] + [(55-57.6)²/57.6] + [(15-14.8)²/14.8] + [(133-133.2)²/133.2] + [(6-6.4)²/6.4] + [(58-57.6)²/57.6]
χ² = 0.684 + 0.075 + 1.018 + 0.114 + 0.003 + 0.0003 + 0.025 + 0.003
χ² = 1.941
The test statistic is χ² = 1.941. Since the P-value is not given, we can use the information from the answer choices to deduce the P-value range. The correct answer is a. x² = 1.941; 0.15 < P-value < 0.20.

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Answer:χ

2

=1.966;

P-value>0.25

​

Step-by-step explanation: