Given:-
The price of the jacket is 375.
Sales tax rate is 7%.
To find:-
The sales tax on the jacket.
To find the salex tax rate, we need to multiply the sales tax rate with the total amount of the product.
So we get,
\(375\times7percentage=375\times\frac{7}{100}\)So by simplifying we get,
\(\begin{gathered} 375\times\frac{7}{100}=3.75\times7 \\ \text{ =26.25} \end{gathered}\)So the value of sales tax on jacket is 26.25
Integrated Potato Chips paid a $2 per share dividend yesterday. You expect the dividend to grow steadily at a rate of 4 percent per year. a. What is the expected dividend in each of the next 3 years? b. If the discount rate for the stock is 12 percent, at what price will the stock sell? c. What is the expected stock price 3 years from now? d. If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments? Compare your answer to (b).
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Dividend paid (D) = $2
Growth rate (g) = 4% per annum = 0.04
Expected Dividend in each of the next 3 years :
1st year : $2 * 1.04 = $2.08
2nd year : $2.08 * 1.04 = $2.16
3rd year: $2.16 * 1.04 = 2.2464 = $2.25
B) If the discount rate for the stock is 12 percent, at what price will the stock sell?
Discount rate (r) = 12% = 0.12
Price of stock = Dividend / (r - g)
Price of stock = 2 / (0.12 - 0.04)
Price = 2 / 0.08 = $25
c. What is the expected stock price 3 years from now?
(2.25 * 1.04) / 0.08
2.34 / 0.08 = $29.25
D) If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments?
Dividend to be received from year 1 to 3
2.08, 2.16, 2.25
Stock price in 3rd year = 29.25
Present value :
(29.25/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08 / 1.12^1) = 26.00
For year 1 :
D = 2.08
Stock price = 2.16/0.08 = 27
Present value (PV) = (27/1.12) + (2.08/1.12) = 25.96
Year 2 :
D = 2.16
Stock price = 2.25/0.08 = 28.125
cashflow = (2.16 + 28.125) = 30.285
PV = (28.125/1.12^2) + (2.16/1.12^2) + (2.08/1.12^1) = 26.00
Year 3:
D = 2.25
STOCK PRICE = 29.25
Total Cashflow = (2.25 + 29.25) = 31.5
PV = (31.5/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08/1.12^1) = $27.60
The weight of a medium-sized orange selected at random from a large bin of oranges at a local supermarket is a random variable with mean μ = 12 ounces and standard deviation σ = 1.2 ounces. Suppose we independently select two oranges at random from the bin. The difference in the weights of the two oranges (the weight of the first orange minus the weight of the second orange) is a random variable with a standard deviation equal to
The standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.
What do you mean by standard deviation?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The standard deviation of the difference in the weights of the two oranges is equal to the square root of the sum of the squares of the standard deviations of the two oranges. This is because the weights of the two oranges are independent random variables.
Therefore, the standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.
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A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
help....................
The unit of the rate of change is (b) dollars per month
How to determine the unit of the rate of changeFrom the question, we have the following parameters that can be used in our computation:
The table of values
Where we have
y = total amount in dollars
x = number of months
The rate of change is calculated as
Rate = y/x
substitute the known values in the above equation, so, we have the following representation
Rate = total amount in dollars/number of months
So, we have
Unit = dollars per month
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9/12 = 3/D O D = 6 O D = 4 O D = 5 O D - 10
Answer:
The answer would be D = 4 or option 2.
Step-by-step explanation:
9/12 = 3/?
First, you want to simplify 9/12
9/12 = 3/4
This shows you that D = 4
According to the Stack Overflow Developers Survey of 20184 , 25.8% of developers are students. The probability that a developer is a woman given that the developer is a student is 7.4%, and the probability that a developer is a woman given that the developer is not a student is 76.4%. If we encounter a woman developer, what is the probability that she is a student
Answer:
3.26%
Step-by-step explanation:
The computation of the probability that she is a student is shown below:
Percentage of student developers = 25.8% = SD
The Percentage of the developer is student = 7.4% = DS
The percentage of the developer is not student = 76.4% = ND
Based on this, the probability is
\(= \frac{SD \times DS}{SD \times DS + DS \times ND}\)
\(= \frac{25.8\% \times 7.4\%}{25.8\% \times 7.4\% + 7.4\% \times 76.4\%}\)
=3.26%
we simply considered all the elements
-1/4-a-4=7/4a-3
solving equations with one unlike equations
Answer:
a = -5/11
Step-by-step explanation:
You want to solve the equation -1/4-a-4=7/4a-3.
SolutionThe first step in solving this 3-step equation can be to add the opposite of (-a) so that the variable 'a' appears only on one side of the equation:
-1/4 -a -4 +a = 7/4a -3 +a
-17/4 = 11/4a -3 . . . . . . . . . . . simplify
The second step is to add the opposite of the constant (-3) so that the constant is on one side of the equation, and the variable is on the other side.
-17/4 +3 = 11/4a -3 +3
-5/4 = 11/4a . . . . . . . . . . simplify
The third step is to multiply by the inverse of the coefficient of the variable:
(4/11)(-5/4) = (4/11)(11/4a)
-5/11 = a . . . . . . . . . . . . . . . simplify
Check-1/4 -(-5/11) -4 = (7/4)(-5/11) -3
-17/4 +5/11 = -35/44 -3
(-187 +20)/44 = (-132 -35)/44
-167/44 = -167/44 . . . . . . answer checks OK
Write two decimals that have the sum of 16.825
Due to a manufacturing error, three cans of regular soda were accidentally filled with diet soda in a 12 pack. Suppose that two cans are randomly selected from the 12 pack. Answer A-C.
(a) determine the probability that both sodas contain diet soda p(both diet) = ????
(b) determine the probability that both contain regular soda p(both regular) = ????
(c) determine the probability that exactly one is diet and one is regular p(one regular and one diet) = ????
Answer:
a- 3/4
b- 1/4
c- 3/16
Step-by-step explanation:
Which is true?
A
399.019 > 399.00
B
22.9909 = 22.991
C
9.3291 > 9.3301
D
0.7351 > 0.7411
Answer:
I think it's A
Step-by-step explanation:
seems like the only one that is correct
11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.
The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²
What is the area of the sector?We will use the following points to find the area of the sector;
First of all, the angle that is formed in a full rotation is 2π.
The area of a circle is given by the formula; A = πr²
The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π
Thus, the area of a sector is given by the formula;
A = (θ/2π) * πr²
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Plz help fast. What is the value of x?
Answer is 7.b because of the angles
Point P has coordinates (1,3). Point Q has coordinates (25,10). How long is segment PQ?
A. 31 units
B. 25 units
C. 7 units
D. 24 units
The distance between the points P and Q is 25 units.
What is the formula for the distance between two points?The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by,
\(D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1_)^2\).
Given, Point P has coordinates (1, 3) and point Q has coordinates (25,10).
Therefore, The 25 units.of the line segment, PQ is,
\(|PQ| = \sqrt{(25 - 1)^2 + (10 - 3)^2\).
\(|PQ| = \sqrt{(24)^2 + (7)^2\).
\(|PQ| = \sqrt{576 + 49\).
\(|PQ| = \sqrt{625}\).
PQ = 25 units.
So, The length of the line segment PQ is 25 units.
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How many ways can 12 DVDs be arranged on a shelf?
.
Answer:
12!
Step-by-step explanation:
А=12*11*10*9*8*7*6*5*4*3*2*1=12!=479001600
Solve for q
-18 + -3q = -63
q=
Answer:To solve for q in the equation -18 + -3q = -63, we need to get q by itself on one side of the equation. We can do this by adding 18 to both sides of the equation:
-18 + -3q + 18 = -63 + 18
Simplifying, we get:
-3q = -45
Then, we can divide both sides of the equation by -3 to solve for q:
(-3q) / -3 = -45 / -3
Simplifying, we get:
q = 15
Therefore, the solution for q is 15.
Step-by-step explanation:
Marco budgets $1,600 a month for expenses.
According to the graph, how much does he pay
for his credit card, groceries, and rent?
$1,008
$908
$1,142
$1,029
Marco pays $1008 for for his credit card, groceries, and rent.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Marco budgets $1,600 a month for expenses.
According to the graph he pays 4% of credit card
Now let us find 4% of 1600
4/100×1600
0.04×1600
$64 Marco pays for credit card.
From graph, he pays 17% for groceries
17% of 1600
17/100×1600
0.17×1600=$272
$272 Marco pays for Groceries.
From graph, he pays 42% for rent
42/100×1600
0.42×1600=672
$672 Marco pays for Rent.
Hence, Marco pays $1008 for for his credit card, groceries, and rent.
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Someone help ASAP I REALLY NEED HELP
Answer:
10 i think
Step-by-step explanation:
because 20+10+10=40
Answer:
70
Step-by-step explanation:
Let the claire pointa be x then
Mean = Sameson X / N
40= 20+30+x/3
40×3=50+x
120-50=x
Therefore x=70
When using the vertical line test the vertical line can only go through the graph ____ times for it to be a function.
Answer:
once
Step-by-step explanation:
The vertical line test shows how many outputs (y-value) there are for one input (x-value). There can only one output for each input because only one value should satisfy an equation that represents a function. If the vertical line goes through the graph twice, that shows there are two outputs for a single x-value. This would mean it is not a function.
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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Find the volume of the figure below. Round to the nearest tenth it needed. Please help
Answer:
1,060.8 mm³
Step-by-step explanation:
Volume of the triangular prism = ½*bhl
Where,
b = 12 mm
h = √(12² - 6²) ≈ 10.4 mm (pythagorean theorem)
l = 17 mm
Plug in the values
Volume = ½*12*10.4*17
Volume = 1,060.8 mm³
Analyze the diagram below and complete the instructions that follow.
8
45°
Find the value of x.
A. 4
B. 8√√2
2
C. 4√2
DG
45°
Save and Exit
Next
Subr
Answer:
Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.
Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:
x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)
So the value of x is option B: 8√2 / 2 or simplified, 4√2.
What is the height of the flagpole?
24 ft
676 ft
26 ft
18 ft
V324 ft
10 ft
???
You give a test to 100 students and determine the standard deviation of the scores. After grading the test, you realize that the 10 students with the highest scores did exceptionally well. You decide to award these 10 students a bonus of 5 more points each. The standard deviation of the new score distribution will be _______________________(less than, greater than or the same as) that of the original score distribution
Answer:
greater than
Step-by-step explanation:
The standard deviation of a distribution σ = \(\sqrt{sum(x - mean)^2/ n}\)
where x is the score of each student
Adding 5 to 10 student scores would be = x+5 - mean
increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.
920-444 is the same as ( ) - 450
Answer:
476
Step-by-step explanation:
YAN PO ANG ANSWER ANG PAGKAKAALAM KO
6) Lily was going to have a party so she
bought some sweets.She bought some
cookies and brownies. Cookies were $2 and
brownies were $3. She spent $144 for a total
of 60 sweets. How many cookies and
brownies did she buy?
Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."
According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.
We can set up two equations based on the given information:
C + B = 60 (equation 1, representing the total number of sweets)
2C + 3B = 144 (equation 2, representing the total cost in dollars)
To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.
From equation 1, we can rewrite it as C = 60 - B.
Now substitute this value of C in equation 2:
2(60 - B) + 3B = 144
Simplify the equation:
120 - 2B + 3B = 144
Combine like terms:
120 + B = 144
Subtract 120 from both sides:
B = 144 - 120
B = 24
Now substitute the value of B back into equation 1 to find C:
C + 24 = 60
C = 60 - 24
C = 36
Therefore, Lily bought 36 cookies and 24 brownies.
When x = 1/2, what is the value of 8x-3/x?
Answer:
Step-by-step explanation:
Putting value of x = 1/2 in the equation
8x - 3/x
8(1/2) - 3(1/2)
= 4 - 3/2
= 2.5 or 5/2
slope of a line that goes through the ordered pairs: (4,5) and (0.1)?
Answer:
Step-by-step explanation:
i mean theres no graph but go 4 right and 5 up and put a dot, and a little up on the y -intercept
Can someone help me please
Enter your answer in the box.
x=
Answer:
43º
Step-by-step explanation:
Angles in a straight line = 180º so:
180 - (90+47) = 43º.
Alternate angles are equal so the x is also 43º.
The correlation between the heights (feet) of fathers (x) and the heights (feet) of their adult sons (y) is r = 0.89. If the sons’ heights were instead measured in inches, the correlation between heights of fathers and heights of sons would be
a
much smaller than 0.89
b
slightly larger than 0.89
c
slightly smaller than 0.89
d
unchanged; equal to 0.89
If the unit is changed from feet to inches, the correlation coefficient remains unchanged; equal to 0.89. Option D
What is the correlation coefficient?We know that the correlation coefficient is the figure that shows the level of association between two variables. If the correlation coefficient is large and positive it means that there is a large degree of association between the variables.
On the other hand, if the value of the correlation coefficient is small then we know that there is only a little association between the variakes. The correlation coefficient would not change even if the units of the measurements change.
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