Today, you want to sell a R1 000 par value zero coupon bond you own. The bond matures in five years. How much will you receive for your bond, if the market yield to maturity is currently 5,33%? 10​

Answer:

27

Step-by-step explanation:

Carlotta can feed 3 times her dog with leftover in this bag of dog food

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that Carlotta has 2/3 of a bag of dog food  and She gives her dog 2/9 of the bag at each feeding.

The bag of dog food = 2/3

Let she feed her dog with leftover in this bag of dog food = X

Therefore, X = 2/3 × 9/2

X = 18 / 6

X = 3

Hence, Carlotta can feed 3 times her dog with leftover in this bag of dog food

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Answer:

216

Step-by-step explanation:

If you just paint the surface of the cube, then the inside of the cube would not have any of their faces painted red.

Just looking at the cube from a side view, you would realize that there would be a smaller cube, 6 x 6 x 6 (not 7 since you have to account for both the top side and the bottom side), and so that is the answer, 6 ^ 3, which is 216.

Answer:

216

Step-by-step explanation:

8 * 8 * 8 = 512

8 * 8 = 64

Each face is 64 cubes, overlapping at the edges, with 6 faces total.

16 + 12 = 28 for each overlapping cube on each side

64 * 6 = 384

384 - 2(28) = 328

Top & Bottom dealt with, overlap from them is 56 units total, 14 units on top and bottom of each face..

64 - 14 = 50

50 * 2 = 100

Front & Back dealt with.

328 - 100 = 228

64 - 28 = 36

36 * 2 = 72

228 - 72 = 156

...

OR

6^3 = 216

Answer:

318-320

4271-4270

18293-18290

Answer:

85

Step-by-step explanation:

im new↑∵∴∵∴∞

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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Answer: x= -0.3,2

Step-by-step explanation:

Combine your like terms then solve.

Answer:

Step-by-step explanation:

Sum = 5

Product = -6

Factors = (-1) ; 6    {-1+ 6 = 5  & (-1)*6 = -6}

3x² + 5x - 2 = 0

3x² - x + 6x - 2 = 0

x(3x - 1) + 2(3x - 1) = 0

(3x - 1)(x + 2) = 0

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

x=-4, y=-5

You can substitute equation 2 into equation 1 since it's easier. After that, just substitute x=-4 back into equation 2.

Answer:

wz is the corresponding part

Step-by-step explanation:

The corresponding parts between PQRS and WXYZ are, PQ corresponds to WX, QR corresponds to XY, RS corresponds to YZ, SP correspond, ds to ZW.

If PQRS is congruent (≅) to WXYZ, it means that the two figures are identical in shape and size. Each letter represents a corresponding part between the two congruent figures.

To find the corresponding parts, we can match the corresponding vertices of the polygons. Let's match the vertices of the polygons:

P corresponds to W.

Q corresponds to X.

R corresponds to Y.

S corresponds to Z.

Therefore, the corresponding parts between PQRS and WXYZ are:

PQ corresponds to WX.

QR corresponds to XY.

RS corresponds to YZ.

SP corresponds to ZW.

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Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.

The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

Part A:

The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:

P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²

Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.

P(X = 3) = 10 × 0.68³ × 0.32²

P(X = 3) = 0.267

Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.

Part B:

The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.

Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.

Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.

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Answer:

£26.77

Step-by-step explanation:

450(100% + 2%)^6

= 450 (1.02)^6

= 506.77.

506.77 - 480 - 26.77.

Riley had £26.77 left.

Answer:

1.1101112×10^3.

Hope it helps .

BRAINLIST please

Answer:

2375 square inches

Step-by-step explanation:

To calculate the amount of glass required to make the trapezoid-shaped car windshield, we need to find the area of the trapezoid.

The formula to calculate the area of a trapezoid is:

Area = (1/2) × (sum of bases) × height

In this case, the bases of the trapezoid are 55 inches and 70 inches, and the height is 38 inches.

Area = (1/2) × (55 + 70) × 38

= (1/2) × 125 × 38

= 0.5 × 125 × 38

= 2375 square inches

Therefore, it would take 2375 square inches of glass to make the trapezoid-shaped car windshield.

Answer:

A''(3, 2), B''(-1, 4), C''(2, 0)

Step-by-step explanation:

For the first step, negate the y coordinate.

For the second step, add 4 to the x coordinate and 5 to the y coordinate.

\(A(1,-3) \longrightarrow A'(-1, -3) \longrightarrow A''(3, 2) \\ \\ B(5,-1) \longrightarrow B'(-5,-1) \longrightarrow B''(-1, 4) \\ \\ C(2, -5) \longrightarrow C'(-2, -5) \longrightarrow C''(2, 0)\)

Answer: The correct formula for the sequence -1, -5, -9, ... is an = -4 + (-1) n - 1). This formula uses the common difference of -4 and the first term of -1 to calculate the value of the nth term in the sequence.

Answer:

3.45

Step-by-step explanation:

you have to do tihis then that

The population is 900 gasoline stations. The sample is 800. The parameter is price of gasoline. The statistics is for 900 stations and not all stations.

The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average. The average formula has numerous practical uses. If we were asked to determine the average male height in India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points.

The population is 900 gasoline stations.

The sample is 800.

The parameter is price of gasoline.

The statistics is for 900 stations and not all stations.

The sample selected is a good sample as it covers most of the gas stations.

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Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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Answer:

Here are the steps for conducting a survey in your school to find out which mode of transportation students prefer the most, arranged in order from start to finish:

1) Define the objective: Clearly define the objective of the survey, which is to determine the preferred mode of transportation among students in your school.

2) Determine the sample size: Decide on the number of students you want to include in your survey. This will depend on factors such as the size of your school and the resources available for conducting the survey.

3) Design the survey questionnaire: Create a well-designed survey questionnaire that includes relevant questions about different modes of transportation. Ensure that the questions are clear, unbiased, and cover all the necessary aspects.

4) Seek necessary permissions: If required, seek permission from school authorities or relevant individuals to conduct the survey on school premises and to involve students.

5) Pre-test the survey: Before distributing the survey to the entire student population, pre-test the questionnaire on a small group of students to identify any potential issues or areas for improvement.

6) Distribute the survey: Once the questionnaire has been finalized and pre-tested, distribute it to the selected sample of students. Ensure that the survey is distributed in a fair and unbiased manner, taking into account the diversity of the student population.

7) Collect the survey responses: Set a specific timeframe for students to complete the survey and collect the responses. Consider using a combination of online platforms and physical collection methods to maximize participation.

8) Analyze the data: Once you have collected all the survey responses, analyze the data to determine the preferred mode of transportation among students. Use appropriate statistical tools and techniques to interpret the results accurately.

9) Present the findings: Prepare a report or presentation summarizing the survey findings. Include key insights, trends, and any significant findings related to the preferred mode of transportation among students.

10) Share the results: Share the survey results with the school community, including students, teachers, and administrators. This can be done through presentations, newsletters, or other suitable communication channels.

By following these steps, you will be able to conduct a comprehensive survey to determine the preferred mode of transportation among students in your school.

Hope this helps!

I can not do it for you but I can give you what you should do

Explanation: take a survey

Option 3 yielded the most money after 10 years is 171.7

Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.

Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.

After 10 years:

Option 1: 50×(1.09)¹⁰ - 30 =  88.36

Option 2: 50×(1.08)¹⁰ - 20 =  87.94

Option 3: 100×(1.07)¹⁰ - 25 =  171.71

Therefore, Option 3 yielded the most money after 10 years is 171.7

By the time you were 60 years old:

Option 1: 50×(1.09)⁶⁰ - 30 =  8,771.56

Option 2: 50×(1.08)⁶⁰ - 20 =  5,042.85

Option 3: 100×(1.07)⁶⁰ - 25 =  5,769.64

Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

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Answer:

6 feet per minute.

Step-by-step explanation:

The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:

5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min

Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.

Answer:

6 feet per minute.

Answer:

2850

Step-by-step explanation:

19% of 15000 is 2850

\(\textbf{19\% prefer sedans}\)

\(\textbf{The company should plan on manufacturing}\\\\ \textbf{19\% of the cars as sedans}}\)

\(19\% \times 15000 = 2850\)

\(\textbf{2,850 sedans}\)

The height of the object at a time of 2 seconds is given as follows:

1106 feet.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

h(t) = -16t² + 1170.

At a time of 2 seconds, the height is found replacing the lone instance of t by two, hence:

h(2) = -16(2)² + 1170

h(2) = 1106 feet.

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Answer:

x=9

y=20

Step-by-step explanation:

6/8=3/4

x/12=9/12=3/4

15/y=15/20=3/4

Answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr:

Answer:

Is 4 and (m + 6) gl

The equation which represents the relationship between X values and Y values can be found by deriving the equation of line using slope intercept form. The equation of line is 3x - 5y = 25.

How to find equation of line using slope intercept form?

Equation of line using slope intercept form is y = mx + b

where m is slope of the line and b is y-intercept

The slope intercept can be used to form equation of line using two points on the line.

According to the given question:

The two points which lie on the line are (x, y) = (5, -2) and (x', y') = (0, -5)

Slope of the line m = y' - y/x' - x

                               = (-5 +2)/(0 - 5)

                               = 3/5

Now y intercept b = y - mx

                              = -2 - (3/5. 5)

                              = -5

Therefore the required equation of line is y = 3/5x - 5

On simplifying further 3x - 5y = 25

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The solutions of the equation of the graph is -4 and 2.

An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.

We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.

In the given graph the point of intersection of the two equations are at x = -4 and x = 2.

Hence, the solutions of the equation of the graph is -4 and 2.

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The complete question is:

The speed of both car A and car B are the same which is 0.7 miles per minute

An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.

Let x represent the distance travelled by car A and y represent the distance travelled by car B

Speed of car A = x /20

Car B reaches in 50 minutes, hence:

Speed of car B = y/50

Since both speed are same;

x/20 = y/50

20y = 50x    (1)

Car B is 21 miles farther, then:

y - x = 21     (2)

x = 14, miles y = 35 miles

Speed of car A = speed of Car B = 14/20 = 35/50 = 0.7 miles per minute

The speed is 0.7 miles per minute

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Answer:

52 cards

Step-by-step explanation:

call the amount he started with " x "

then he bought 8 cards

so the new equation is

x+8

then he lost half of his cards

so now the equation is

(x + 8 )/2

that amount to 30 cards as per what is given in the problem

so now the equation is

( x + 8 )/2 = 30

solve using inverse operations and simplifying

( x + 8 )/2 = 30  

         *2    *2

x + 8 = 60

   -8     -8

x = 52