a train is leaving the station and goes from 3m/s to 30 m/s in 12 s. The acceleration of the train is

Mr. Mensah's total earnings at the end of the fifteenth year of service is €1920.00 + €2520.00 = €4440.00.

To calculate Mr. Mensah's salary in the fifteenth year of service, we need to determine the pattern of salary increase over the years.

We know that Mr. Mensah's salary starts at €6400.00 and increases by €240.00 every year for the first eight years. After that, he is promoted to a new post with an annual salary of €9500.00, which increases by €360.00 every year.

Let's break it down:

For the first eight years, the salary increases by €240.00 per year:

After 1 year: €6400.00 + €240.00 = €6640.00

After 2 years: €6640.00 + €240.00 = €6880.00

...

After 8 years: €6400.00 + (8 * €240.00) = €6400.00 + €1920.00 = €8320.00

From the ninth year onwards, the salary increases by €360.00 per year:

After 9 years: €9500.00 + €360.00 = €9860.00

After 10 years: €9860.00 + €360.00 = €10220.00

...

After 15 years: €9500.00 + (7 * €360.00) = €9500.00 + €2520.00 = €12020.00

Therefore, Mr. Mensah's salary in the fifteenth year of service is €12,020.00.

To calculate Mr. Mensah's total earnings at the end of the fifteenth year of service, we need to sum up his salaries from year 1 to year 15.

For the first eight years, the total earnings can be calculated as follows:

Total earnings = (Salary in year 1 + Salary in year 2 + ... + Salary in year 8) = 8 * €240.00 = €1920.00

From the ninth year onwards, the total earnings can be calculated as follows:

Total earnings = (Salary in year 9 + Salary in year 10 + ... + Salary in year 15) = 7 * €360.00 = €2520.00

Therefore, Mr. Mensah's total earnings at the end of the fifteenth year of service is €1920.00 + €2520.00 = €4440.00.

To learn more about earnings visit:

https://brainly.com/question/29289802

#SPJ11

Answer:

2 is the answer

Step-by-step explanation:

Answer:

Option 3.

Step-by-step explanation:

x is always first in mapping coordinates, and since both the starting x and y are positive, they would turn negative in a 180 degree rotation. so its option 3.

Hope this helps!!

Answer:

Common difference: tₙ = (95x - 4)

Question: How do we find the 83rd term?

Step-by-step explanation:

\(t_n = (95x-4)\\83 * 4 = 332\\95x - 332 = -237x\\-237x = -237\\-237\)

Therefore, the answer is -237

Answer:

a)A=53

b)A=42.68

c)A=60

Answer:

1/3

Step-by-step explanation:

total number of students = 15

students that chose choir as their favourite class= 5

P(choir)= 5/15 = 1/3

Answer:

the answer is c 10 chicken and 32 cow

Answer:

140 hamburgers

Step-by-step explanation:

to find the answer we must first use a let statement and write an equation

let x = hamburgers

hamburgers * 2 is cheeseburgers and added together that is 420

so

x + 2x = 420

now solve

3x = 420

x = 140

140 hamburgers were sold

Answer:

Step-by-step explanation:

240 divided by 3= 80

80+80=160

160 hamburgers sold altogether on Wednesday.

Answer:

thanks boyz

Step-by-step explanation:

Answer:

7x+78

Step-by-step explanation:

i just know

The d939/dx939 (cos x) is equal to (-1)^939 cos x.

To find d939/dx939 (cos x), we need to compute the first few derivatives of cos x and look for a pattern. The derivative of cos x is -sin x, and the second derivative is -cos x.

Continuing this pattern, we see that the nth derivative of cos x is (-1)^n cos x. Thus, the 939th derivative of cos x is (-1)^939 cos x. This means that the derivative of cos x with respect to x has a pattern of alternating signs and is always equal to cos x.

In summary, by computing the first few derivatives and identifying a pattern, we can determine the 939th derivative of cos x with respect to x.

To learn more about : equal

https://brainly.com/question/25770607

#SPJ11

A symbol that creates a true sentence for x = 6 is '>' i.e.,

12 ÷ x + 2x > 1 2 ÷ (x + 2x)

In this question, we have been given a statement 12 ÷ x + 2x ____ 12 ÷ (x + 2x)

We need to select a correct symbol that would create a true sentence when x = 6.

Consider an expression 12 ÷ x + 2x for x = 6.

= 12 ÷ 6 + 2(6)

= 2 + 12

= 14                              ...................(1)

Consider an expression 12 ÷ (x + 2x) for x = 6

= 12 ÷ (6 + 2(6))

= 12 ÷ (6 + 12)

= 12 ÷ 18

= 0.67                               ...................(2)

From (1) and (2),

14 > 0.67

Therefore, a symbol that creates a true sentence for x = 6 is '>'

i.e., 12 ÷ x + 2x > 1 2 ÷ (x + 2x)

Learn more about an expression here:

https://brainly.com/question/1859113

#SPJ1

Answer: C

Step-by-step explanation:it’s the 3rd ans on edge

The question is an illustration of probability, and the approximate probability that the first digit will be 6 is (c) 0.11111

The number of digits in the pin = 3

Given that each digit cannot be repeated, the total number of pin is:

Pin = 9 * 8 * 7

Evaluate

Pin = 504

If the first digit is 6, the number of pins is:

First digit6 = 1 * 8 * 7

First digit6 = 56

So, the probability that the first digit is 6 is:

P = 56/504

Evaluate

P = 0.1111

Hence, the approximate probability that the first digit will be 6 is (c) 0.11111

Read more about probability at:

brainly.com/question/251701

#SPJ2

The equation is

Haul-n-Save: y= 0.79 x+ 30

Rent It Trucking: y= 0.55 x+ 75.

Given that,

Based on the above information, the equation is as follows:

Haul-n-Save: y= 0.79 x+ 30

Rent It Trucking: y= 0.55 x+ 75.

Learn more: https://brainly.com/question/17429689?referrer=searchResults

In the given triangle, the measure of side c is approximately 39 m

From the question, we are to calculate the measure of side c in the given triangle.

To determine the measure of side c, we will use SOH CAH TOA

sin (angle) = Opposite / Hypotenuse

cos (angle) = Adjacent / Hypotenuse

tan (angle) = Opposite / Adjacent

In the given diagram,

Angle = 29°

Opposite = 19 m

Hypotenuse = c

Thus

sin (29°) = 19 / c

0.4848 = 19 / c

c = 19 / 0.4848

c = 39.1914

c ≈ 39 m

Hence,

The measure of c is 39 m

Learn more on Trigonometry here:

https://brainly.com/question/31387901

#SPJ1

The probability that a randomly selected squirrel has a weight less than 3 pounds:  P(x < 3) = 0.0139

What is Probability?

Chance is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 signifies the event's impossibility and 1 denotes certainty.

Given,

μ = 4.1

σ = 0.5

∴ P(x < 3) = P(z < (3 - μ) / σ)

= P(z < (3 - 4.1) / 0.5)

= P(z < -1.1/0.5)

P(x < 3) = P(z < -2.2)

P(x < 3) = 0.0139

As a result, P(x 3) = 0.0139 is the probability that a squirrel chosen at random weighs less than 3 pounds.

To learn more about Probability click on the link

https://brainly.com/question/24756209

#SPJ4

The average rate of change of f(x)=5x2−9 on the interval [3,t] can be found using the formula: frac{f(t)-f(3)}{t-3}. Substituting in the values of f(t) and f(3) yields the expression frac{5t^2-9-60}{t-3}.

This expression can be simplified to frac{5t^2-69}{t-3}. To calculate the rate of change for a given value of t, simply substitute in the value for t in the expression and evaluate.
The average rate of change of the function on the given interval is the rate of change of the function at the endpoint of the interval, t. That is, the average rate of change is equal to 5t^2-69.

To know more about average rate refer here:

https://brainly.com/question/12395856

#SPJ11

The function f(x) = 1/x.

Determine the function for f(x+8).

It can be observed, in function the value of variable is replaced by increasing it by 8 units. So function shifts 8 units right as compare to previous function.

Thus graph of function f(x+8) shifts 8 units to the left of graph of function f(x).

Answer: Option C.

Answer:

Yes

Step-by-step explanation:

20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so  that gives you 84 % . So you scored %84.

Good job

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.

First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)^2 + (-15)^2) = √(64 + 225) = √289 = 17.

Next, we can determine the values of the trigonometric functions:

1. Sine (sin): -15/17
2. Cosine (cos): -8/17
3. Tangent (tan): -15/-8 = 15/8
4. Cosecant (csc): 17/-15 = -17/15
5. Secant (sec): 17/-8 = -17/8
6. Cotangent (cot): -8/15

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

To know more about trigonometric functions visit:-

https://brainly.com/question/29090818

#SPJ11

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.

First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)² + (-15)²) = √(64 + 225) = √289 = 17.

Next, we can determine the values of the trigonometric functions:

1. Sine (sin): -15/17

2. Cosine (cos): -8/17

3. Tangent (tan): -15/-8 = 15/8

4. Cosecant (csc): 17/-15 = -17/15

5. Secant (sec): 17/-8 = -17/8

6. Cotangent (cot): -8/15

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

Learn more about trigonometric functions here:

https://brainly.com/question/33816628

#SPJ4

Answer:

Any one of these three works:

plane MOU

plane MNU

plane NOU

Step-by-step explanation:

A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.

Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.

To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.

plane L can be named

plane MOU

plane MNU

plane NOU

Do not name it plane MNO

The correct statement is that if both individuals apply a discount rate of 7%, the present value of Caroline's award is higher than the present value of Jiexin's award.

To compare the present value of the awards that Caroline and Jiexin will receive, we need to discount the future amounts using a discount rate of 7%. The present value of an amount A to be received in n years, discounted at an annual rate r, is given by:

Present value = \(A / (1 + r)^n\)

For Caroline, A = $20,000 and n = 6, so the present value is:

Present value of Caroline's award = $20,000 / \((1 + 0.07)^6\) = $14,008.32

For Jiexin, A = $20,000 and n = 9, so the present value is:

Present value of Jiexin's award = $20,000 /\((1 + 0.07)^9\) = $12,043.60

Therefore, the correct statement is that if both individuals apply a discount rate of 7%, the present value of Caroline's award is higher than the present value of Jiexin's award. Caroline's award is worth $14,008.32 in today's dollars, while Jiexin's award is worth $12,043.60 in today's dollars.

For more such questions on discount rate

https://brainly.com/question/188305

#SPJ4

Complete question :

Caroline is going to receive a sword of $20.000 six years from now. Jiexin is going to receive en sward of $20,000 nine years from now. Which one of the following statements is correct if both individuels apply discount rete of 7 percent? Multiple Choice

Step 1

Find the angles

Hence,

Answer:

494,615

Step-by-step explanation:

Strategy 1.

Line up 5,819 on the top, and 85 on the bottom. Multiply 9 x 5, and if there are any carry-ons, put them above the top line of numbers. Once done with multiplying the top by 5, go under the line and write a 0. Then continue to multiple with 8, in the same way. Then add the top and bottom line (your answers), and you should get 494,615.

Strategy 2.

Use a calculator.

Answer:

the answer is not 90 its 169

Step-by-step explanation:

Answer:

look up mixed numbers calculator by calculator soup, and then you can find all of your answers! Its an amazing website! good luck (:

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

x must be less than 10

x must be greater than 2

these are expressed in the statement:

2 < x < 10

Answer:

Answer choice 1

Step-by-step explanation:

x is less than 10, but x is GREATER, than 2. That means it would look like this 2<x<10 or 10>x>2. Answer 1 has 2<x<10

Answer: 7/30 as a decimal is 0.23333333333333

Hope this helps!

Answer:

y = mx + b.

y = 1/4x - 4

Step-by-step explanation:

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

Learn more about rectangular here:

https://brainly.com/question/21416050

#SPJ11

A higher level of confidence results in a wider confidence interval, which means that there is a greater chance that the true value lies within the confidence interval.

The role of the following factors can be determined using the formula for a confidence interval percentage:

a) Sample size (percentage): The sample size (percentage) determines the size of the standard error in the estimate. The formula for calculating a confidence interval percentage takes into account the sample size and the variability of the data.

b) Variability: The variability is a measure of how much the data deviates from the mean or expected value. The variability is represented by the standard deviation of the data.

A higher variability results in a larger confidence interval, which means that there is a greater chance that the true value lies outside the confidence interval.

c) Level of confidence: The level of confidence determines the size of the confidence interval. The level of confidence is typically set to 95%, which means that there is a 95% chance that the true value lies within the confidence interval.

Know more about the confidence interval.

https://brainly.com/question/20309162

#SPJ11