Jayden just accepted a job at a new company where he will make an annual


salary of $41000. Jayden was told that for each year he stays with the


company, he will be given a salary raise of $2500. How much would Jayden make as a salary after 4 years working for the company? What would be his salary after t years?

Given:

Manuel wants to earn at least $44 trimming trees.

He charges $6 per hour and pays $4 in equipment fees.

To find:

The possible numbers of hours Manuel could trim trees.

Solution:

Let t be the numbers of hours Manuel could trim trees.

Earnings of Manuel in one hour = $6

Earnings of Manuel in t hour = $6t

He pays $4 in equipment fees. So, we will subtract this from the income.

\(\text{Total earnings}=6t-4\)

Manuel wants to earn at least $44 trimming trees. It means, total earnings must be greater than or equal to 44.

\(6t-4\geq 44\)

\(6t\geq 44+4\)

\(6t\geq 48\)

Divide both sides by 6.

\(t\geq \dfrac{48}{6}\)

\(t\geq 8\)

Therefore, the required number of hours must be greater than or equal to 8 hours.

Answer:

1. compound interest

2.conversation period

3.interest rate

4. annuity

5.cash value

Answer:

6

Step-by-step explanation:

Answer:

Terms for 4a^2-5a-3: 4a^2, -5a, -3

Terms for Equation 2 is correct.

Constants for 4a^2-5a-3: -3

Constants for Equation 2 is correct.

Coefficients for 4a^2-5a-3: 4, -5

Coefficients for Equation 2: 7, -3

Step-by-step explanation:

In Utah, if not directly involved in diving activity, motorized vessels and personal watercraft (PWCs) must remain 150 feet from the diver down flags.

The diver down flag is a banner that is used by vessels to indicate that divers are in the water. It is typically a red flag with a white diagonal stripe that is used to indicate the presence of divers in the water. The flag must be at least 12 x 12 inches in size and must be clearly visible from all directions. When the flag is raised, boaters are expected to keep a safe distance from the divers and to take extra precautions to ensure that they do not pose a hazard to the divers.The diver down flag should be used whenever there are divers in the water. This includes scuba divers, free divers, and anyone else who is swimming or diving underwater. The flag should be raised before the divers enter the water and should be lowered when they exit the water. In addition to the flag, divers are required to use other means of indicating their presence in the water, such as lights and audible signals, to ensure that boaters can see and hear them. Motorized vessels and personal watercraft (PWCs) must remain at least 150 feet from the diver-down flag. This means that they must keep a safe distance from the divers and take extra precautions to ensure that they do not pose a hazard to the divers. If a motorized vessel or PWC is directly involved in the diving activity, such as transporting divers to and from the dive site, they may operate closer to the flag, but they must still maintain a safe distance from the divers at all times.

Learn more about motorized vessels here:-

https://brainly.com/question/32284944

#SPJ11

Answer: It actually 18

The value of x is 18°.

It is required to find the value of given angle.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given that:

m <AOB=28° ,

m < BOC=3x-2,

m< AOD=6x

It is given that

m <AOB=m< COD

so,

m< AOD=m <AOB+ m < BOC+ m< COD

By putting the value, we get

6x=28°+3x-2+28°

6x=54°+3x

3x=54°

x=54°/3

x=18°

∴m <AOB=28° ,

m < BOC=3x-2

m < BOC=3*18-2=52°

m< COD=28°

Therefore, the value of x is 18°.

Learn more about angle here:

https://brainly.com/question/24848062

#SPJ2

Answer:

A

Step-by-step explanation:

7d/7=d

-56/7=-8

7(d-8)

Answer:Check Below

Step-by-step explanation:

To find the percentage of miles jogged on the treadmill, you need to divide the number of miles jogged on the treadmill by the total number of miles jogged and then multiply by 100.Miles jogged on treadmill = 12Total miles jogged = 60Percentage of miles jogged on the treadmill = (12/60) x 100% = 20%Therefore, Samantha jogged 20% of her total distance on a treadmill.

Answer:

17.7

Step-by-step explanation:

Use a calculator.  Enter 3 and then √35.  The calculator should return

17.748.  Round this off to 17.7.

Answer:

17. 7 is the answer.

Step-by-step explanation:

The solution of the trigonometric function sin 2x − √3/2 = 0 will be 30°, 60°, 210°, and 240°.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The trigonometric equation is given below.

sin 2x − √3/2 = 0

Simplify the equation, then we have

sin 2x − √3/2 = 0

sin 2x = √3/2

sin 2x = sin 60°, sin 120°

2x = 60°, 120°, 420°, 480°

x = 30°, 60°, 210°, 240°

The solution of the trigonometric function sin 2x − √3/2 = 0 will be 30°, 60°, 210°, and 240°.

More about the solution b link is given below.

https://brainly.com/question/545403

#SPJ1

Real numbers are the set of all numbers that can be represented on a number line, including rational and irrational numbers. They are used to represent quantities that can be measured or counted.

We are given an operation qb and the rule qb = bº + 2ab. We need to compute 20(103) using this operation.

Step 1: Identify the values of a and b.
In this case, a = 20 and b = 103.

Step 2: Substitute the values of a and b into the rule.
qb = bº + 2ab
20(103) = 103º + 2(20)(103)

Step 3: Solve the equation.
20(103) = 103^1 + 2(20)(103)
20(103) = 103 + 2(20)(103)

Step 4: Perform the calculations.
20(103) = 103 + 2(2060)
20(103) = 103 + 4120

Step 5: Simplify the expression.
20(103) = 4223

The result of the operation 20(103) is 4223. This answer is not among the given options, but please double-check the question and the provided options to make sure there are no errors.

To know more about Real numbers visit:

https://brainly.com/question/551408

#SPJ11

Answer:

Answer:

total number of hamburger =312

total number of cheeseburger=2x312

=624

Step-by-step explanation:

the answer is 624

y = 29 - 0.75x (option C)

The initial amount of gallons of diesel fuel = 29 gallons

Rate of consumption of fuel = 0.75 gallons per hour

we write the above information in the form of a liear equation:

y = mx + c

m = rate of consumption of fuel = 0.75 gallons per hour

c = intial amout of diesel fuel = 29

SInce, we are using up the fuel, it means the initial amount will be reducing every hour.

Our rate of consumption will be negative.

The equation becomes:

y = - 0.75x + 29

y = 29 - 0.75x (option C)

The new mean of the given data is 47, and the new standard deviation for the same data is 10.

When each score in a set of data is multiplied by 5 and then 7 is added to the result, the transformation can be described as follows:

New Score = (Original Score * 5) + 7

To find the new mean, we need to apply this transformation to the original mean. Since the original mean is 8, the new mean can be calculated as:

New Mean = (Original Mean * 5) + 7

= (8 * 5) + 7

= 40 + 7

= 47

Next, to find the new standard deviation, we need to consider the effect of the transformation on the original standard deviation. Since multiplying the data by a constant (5 in this case) scales the standard deviation, the new standard deviation can be calculated as:

New Standard Deviation = Original Standard Deviation * 5

= 2 * 5

= 10

Therefore, the new mean of the data is 47, and the new standard deviation is 10.

Learn more about mean here:

https://brainly.com/question/1136789

#SPJ11

Answer:

40%

Step-by-step explanation:

first, find the difference

56 - 40 = 16

now parts over whole,

16/40

simplify

2/5

now it should be clear because,

2/5 = 0.4

and 0.4 as a percent is 40%

Answer:

Area of a triangle

\( \frac{bh}{2} \\ 10 \times 10 = 100 \\ 100 \div 2 = 50 \\ the \: triangles \: have \: the \: same \: area \: and \: there \: are \: 4 \: triangles \: so \\ 4(50) = 200 \\ now \: we \: find \: the \: are \: of \: the \: rectangular\: base \: \\ area = bh \\ b = 10 \\ h = 10 \\ 10(10) = 100 \\ no w \: we \: add \: the \: area \: of \: the \: triangles \: and \: the \: square \\ 200 + 100 = 300 \: {in}^{2} \)

To find the perimeter of the figure made with 70 triangles, we need to first find the perimeter of one triangle and then multiply it by 70. Since each side of each triangle is 1 meter long, the perimeter of one triangle is 3 meters (1+1+1).
Therefore, the perimeter of the figure made with 70 triangles is 70 multiplied by 3, which equals 210 meters.


The original figure consists of 4 triangles, which means the perimeter is the sum of the lengths of the 12 sides of those triangles, each with a length of 1 meter. Therefore, the perimeter of the original figure is 12 meters.

To find the perimeter of the figure made with 70 triangles, we can use the fact that each additional row of triangles adds 3 meters to the perimeter. Since the original figure has 4 triangles and the long figure has 70 triangles, there are 66 additional rows of triangles. Therefore, the perimeter of the long figure is:

12 meters + (66 rows x 3 meters/row) = 12 meters + 198 meters = 210 meters.

Thus, the perimeter of the figure made with 70 triangles is 210 meters.

Learn more about perimeter here: brainly.com/question/30252651

#SPJ11

Answer:

The answer is 36

Step-by-step explanation:

=16-4(-5)

=16-(-20)

=36

Answer:

Step-by-step explanation:

The table shows that Mrs. Garcia types 70 words in the first minute and 70 additional words in each additional minute.

That is, in x minues, Mrs. Garcia types 70x words:

  y = 70x . . . . words Mrs Garcia can type in x minutes

__

When x=49, the number of words Mrs. Garcia is expected to type is ...

  y = 70×49 = 3,430

She will type 3,430 words in 49 minutes.

We would expect to find the middle 98% of most pregnancies in the small rural village in the range of approximately 237 to 303 days.

We can use the properties of the normal distribution to determine the range in which we would expect to find the middle 98% of most pregnancies in the small rural village.

First, we need to find the z-scores associated with the upper and lower tails of the distribution that exclude the middle 2%. We can use a standard normal distribution table or calculator to find these values:

For the upper tail, the z-score is 2.33 (corresponding to a probability of 0.01 or 1%).

For the lower tail, the z-score is -2.33 (corresponding to a probability of 0.01 or 1%).

Next, we can use the formula for transforming a z-score into an actual value:

z = (x - μ) / σ

where z is the z-score, x is the actual value, μ is the mean, and σ is the standard deviation.

Substituting the values we know, we can solve for the upper and lower limits of the range:

For the upper limit:

2.33 = (x - 270) / 14

x - 270 = 32.62

x = 302.62

For the lower limit:

-2.33 = (x - 270) / 14

x - 270 = -32.62

x = 237.38

for such more question on z-score

https://brainly.com/question/15222372

#SPJ11

Answer:5.03x10^5 and 3.2x10^6

Step-by-step explanation:

Number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10

503,000 divide by 10 until the number before decimal point digit becomes less than 10

Answer:

AB=2AM

3x-4=2(x+3)

3x-4=2x+6

3x-2x=4+6

x=10

So length AB 3x-4=3(10)-4

30-4=26

The length of AB is 26 units.

A line segment is denoted by two endpoints.

According to the given question M is the midpoint of segment AB.

Given, AM = x + 3 and AB = 3x - 4.

As AM is the midpoint if we take twice of AM that will be equal to AB.

∴ 2(AM) = AB

2(x+3) = 3x - 4.

2x + 6 = 3x - 4.

2x - 3x = -4 - 6.

-x = - 10.

x = 10.

So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.

= 30 - 4

= 26 units.

learn more about line segment here ;

https://brainly.com/question/25727583

#SPJ2

Answer:

sry

Step-by-step explanation:cry,sad,mad

Answer:

-10/3 \(\leq\) x \(\leq\) -13/6

Step-by-step explanation

-3 \(\leq\) 3x +7 \(\leq\) 1/2

-10 \(\leq \\\) 3x \(\leq\) -13/2

-10/3 \(\leq\) x \(\leq\) -13/6

The speed of the car, in kilometers per hour, at the time the brakes are first applied, for which the braking distance is less than 20 meters, could be 20 km/h and 30 km/h.

According to the given formula, the braking distance (d) is equal to 200 times the square of the speed of the car (s). To find the speeds at which the braking distance is less than 20 meters, we need to solve the inequality d < 20. Substituting the formula, we get 200\(s^{2}\)< 20. Dividing both sides of the inequality by 200 gives \(s^{2}\) < 0.1. Taking the square root of both sides, we have s < √0.1. Evaluating this value, we find that s is less than approximately 0.316. Converting this value to kilometers per hour, we get s < 0.316 * 60 = 18.96 km/h. Thus, any speed below 18.96 km/h will result in a braking distance less than 20 meters. However, since the options provided are discrete values, the closest speeds that satisfy the condition are 20 km/h and 30 km/h. Therefore, the possible speeds at which the braking distance is less than 20 meters are 20 km/h and 30 km/h.

Learn more about speed here:

https://brainly.com/question/29395239

#SPJ11

Answer:

(x-y)(x+y+z)

Step-by-step explanation:

\(x^{2} +xz-y^{2} -yz\\x^{2} -y^{2} +z(x-y)\\(x+y)(x-y)+z(x-y)\\(x-y)(x+y+z)\\\)

Answer:

(x - y)(x + y + z)

Step-by-step explanation:

Given

x(x + z) - y(y + z) ← distribute both parenthesis

= x² + xz - y² - yz ← rearrange

= x² - y² + xz - yz ← x² - y² can be factored as a difference of squares

= (x - y)(x + y) + z(x - y) ← factor out (x - y) from each term

=(x - y)(x + y + z)

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss