The starting salary for a new employee is 25,000. The salary for this employee increases by 8% per year. what is the salary after 1 year?

it is not a universal rule that the sum of two repeating decimals will always be a repeating decimal. There are instances where their sum can result in a terminating decimal or an integer, as demonstrated in the examples above.

It is not always true that the sum of two repeating decimals must be a repeating decimal.

There are cases where their sum can result in a terminating decimal or even an integer.
Let me provide you with a step-by-step explanation:
Firstly, understand what a repeating decimal is. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point, such as 0.333... or 0.272727...
Now, let's consider two repeating decimals as examples: 0.333... and 0.666...
Add these two repeating decimals together:
  0.333...
+ 0.666...
---------
= 0.999...
Observe that the result, 0.999..., is also a repeating decimal. In fact, it is mathematically equal to the integer 1. This demonstrates that the sum of two repeating decimals can be an integer.
Let's consider another example: 0.333... and 0.467467...
Add these two repeating decimals together:
  0.333...
+ 0.467467...
------------
= 0.800467...
In this case, the sum of the two repeating decimals is a mixed decimal with a terminating part (0.800) and a repeating part (467).

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Answer:

The ratio between Roberto and David is 3:11

Step-by-step explanation:

If Roberto were to have 18 cards when we start, then David would have 24. Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.

The ratio of Roberto's cards to David's cards will be 3:11.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David.

If Roberto were to have 18 cards when we start, then David would have 24.

Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.

The ratio between Roberto and David is 3:11

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the length of the loop of the curve x=3t−t^3,y=3t^2 is 54 units.

To find the length of the loop of the curve x=3t−t^3,y=3t^2, we can use the arc length formula:

L = ∫√(dx/dt)^2 + (dy/dt)^2 dt

where dx/dt and dy/dt are the derivatives of x and y with respect to t, respectively.

In this case, we have:

dx/dt = 3 - 3t^2

dy/dt = 6t

So,

(dx/dt)^2 = (3 - 3t^2)^2 = 9t^4 - 18t^2 + 9

(dy/dt)^2 = 36t^2

And the arc length formula becomes:

L = ∫√(9t^4 - 18t^2 + 9 + 36t^2) dt

= ∫√(9t^4 + 18t^2 + 9) dt

= 3∫√((t^2 + 1)^2) dt

Making the substitution u = t^2 + 1, we get:

L = 3∫√(u^2) du

= 3∫u du

= 3(u^2/2) + C

= 3((t^2 + 1)^2/2) + C

Since we're interested in the length of the loop, we need to evaluate this expression between the values of t where the curve intersects itself. This occurs when x = 0, which implies:

3t - t^3 = 0

t(3 - t^2) = 0

t = 0 or t = ±√3

We can discard the t = 0 solution because it corresponds to the starting point of the curve. Therefore, the length of the loop is:

L = 3((√3)^2 + 1)^2/2 - 3((-√3)^2 + 1)^2/2

= 3(4 + 1)^2/2 - 3(4 + 1)^2/2

= 6(5^2 - 4^2)

= 6(25 - 16)

= 54

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Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

The expression equals to the fraction of squared that is shaded blue is 3/8

Fraction is defined as the parts of a whole the number is expressed as a quotient, in which the numerator is divided by the denominator

The whole part here is the total number of boxes and its blue shaded part is defined as the part of it.

The Numerator represents the shaded part = 3

The Denominator represent the whole squared boxes = 8

The total number of square boxes is 8

the number of blue shaded boxes is 3

Fraction of the square = 3/8

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The question is incomplete the complete question is :

Which expression equals the fraction of the square that is shaded blue?

Answer:

20kg

Step-by-step explanation:

There are 2.2 pounds in a kg, so we will divide 44 by 2.2 to see how many kg are in 44 pounds  

Answer: 80

Step-by-step explanation:

4500-2500 is 2000 dollars reduction, or money paid off.

For every 250 dollars, there is a 10 points increase. 2000 divided by 250 is 8. There are 8 sets of 250 dollars. So, for every 250 dollars (you have 8 of them), 10 points increase. Therefore, you multiply 10 by 8.

10x8 = 80. Your credit score has increased by 80 points.

Answer:true

Step-by-step explanation:

The solution of the equation ss2 12s 36=f∣∣s 6 where f(s)= is s = - 6 √2 + 12.

To solve the equation ss2 12s 36=f∣∣s 6 where f(s)=, we need to substitute the given value of f(s) in the equation. The correct answer is ss2 12s 36=f(6)To find the value of f(6), we have to substitute s = 6 in the equation f(s) = ss2 12s 36.

Therefore,f(6) = ss2 12 × 6 - 36= ss2 72 - 36= ss2 36= 6 √2

Now, we can substitute f(6) in the given equation. ss2 12s 36 = 6 √2

We need to isolate s on one side of the equation.

ss2 12s = 6 √2 - 36

Taking the square of both sides, we get:

12s = (6 √2 - 36)2

= 72 - 72 √2 + 72

= - 72 √2 + 144

Dividing by 12, we gets

= - 6 √2 + 12

Therefore, the solution of the equation ss2 12s 36=f∣∣s 6 where f(s)= is s = - 6 √2 + 12.

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7(x+3 ) / (X+3)(x-3) + (x+2) /( x-3)

7 / ( X-3 ) + x+2 / x-3

7+x+2 / x-3

x+9 / x-3

The given statement when calculating the standard error for p-hat, we use the p-hat not the p under h null is false.

When calculating the standard error for p-hat (the sample proportion), we use the value of p under the null hypothesis (p₀) rather than the observed sample proportion (p-hat). This is because the standard error is an estimate of the variability or uncertainty in the sample proportion compared to the population proportion assumed under the null hypothesis.

The standard error formula for p-hat is:

SE(p-hat) = sqrt[(p₀ * (1 - p₀)) / n]

Here, p₀ represents the hypothesized population proportion under the null hypothesis, and n is the sample size. We use p₀ because it represents the proportion assumed to be true in the population when there is no evidence to reject the null hypothesis.

Using p-hat (the observed sample proportion) instead of p₀ would not accurately reflect the assumptions made under the null hypothesis and could lead to incorrect inference and conclusions.

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Answer:

1. Sometimes

2. Always

3. Always

4. Never

5. Always

Jhon will take 6 hours to compete the same work

Men and work :

             This question is based on the concept of men and work

given,

John and Jane together can clean the house in 2 hours 24 minutes

                               = 120 + 24

                               = 144 minutes

Let,

          Jane can complete the work alone in x minutes

then,

        Jhon will take (x+120) minutes to complete the same work alone

According to question,

                                    \(\frac{1}{x} +\frac{1}{x+120} = \frac{1}{144}\)

                                     \(\frac{x+120+x}{x(x+120)} =\frac{1}{144}\)

                               144(2x+120) = x(x+120)

                      288x + 17280= \(x^{2}\) + 120x

                         \(x^{2}\) - 168x -17280 = 0

                          (x + 72) (x-240) =0

                             x= -72 and x =240

x can not be negative, so x =240 minute =4 hours

 Jane can complete the work alone in 240minutes = 4 hours

Jhon will take (x+120) minutes to complete the same work

                    x+120

                = 240 + 120

               = 360 minutes = 6 hours

Hence,

           Jhon will take 6 hours to compete the same work

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Answer:

given in a triangle rst and another triangle ratOn a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, ...

9 votes

The best option is to Convert it to a decimal and multiply is the best way to describe rate in simple interest formula. The correct option is A.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.

Simple Interest (S.I.) is a method for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years.

Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount. The correct option is A.

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Answer: b

Step-by-step explanation:

Answer:

254.34 in

Step-by-step explanation:

18 divided by 2 is 9 so

9 times 3.14 so 3.14 is pie so you use pie to find the circle

so 9^{2} so 2 is the little number that goes on top of the nine it's called a exponent

so 9^{2} times 3.14

so that is 254.34 in

HOPED I HELPED YOU :)

Answer:

16 square feet is left uncovered.

Explanation:

Essentially, you’re trying to find the difference between the area of the door and the area of the poster. The area formula for a basic rectangle is l • w (length times width.) We have both of those dimensions for the separate shapes, so you can go ahead & do that math separately (as shown in the attachment!) Then, you subtract the area of the poster from the area of the door, and you have your answer. As always, I hope this is accurate & helpful! Good luck on your test, friend. Best wishes <3

Answer:

number of apples purchased to the cost of apples

Step-by-step explanation

The only relation that is a function is number of apples purchased to the cost of the apples.

A relation is considered a function if each input (domain element) is associated with exactly one output (range element). Let's analyze the given relations:

City name to state name: This is not necessarily a function. Multiple cities can be in the same state.

Number of apples purchased to the cost of the apples: This is a function. Each number of apples purchased is associated with a single cost of apples.

Days of the week to the months of the year: This is not a function. Some days of the week might correspond to multiple months.

Last name to phone number: This is not necessarily a function. Different people with the same last name could have different phone numbers.

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y = 3e5x − 2.

The particular solution for the differential equation Dy/dx + 5y=6 satisfying the initial condition y(0)=0 is y = 3e5x − 2.

To arrive at this solution, first solve the homogeneous equation Dy/dx + 5y = 0,

which has the general solution y = Ce5x.

Then, use the method of undetermined coefficients to solve for the particular solution for the non-homogeneous equation, which is y = 3e5x − 2.

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Answer:

139

Step-by-step explanation:

Substitute x for 15.

9(15)+4

Then multiply:

135+4

And then add:

139

Answer:

Here,

length = 8m

height = 4m

4s = 15 per m^2

Now,

300 per meter = 300 * 15 per m^2

= 4500 per m^2

The health fern noted that the sick fern's leaves were withering, fracturing, and struggling to self-heal.

Human health is the degree to which a person can continue to manage his or her bodily, emotional, mental, and social needs in the context of the environment.

One of many possible definitions is this one. There are many different definitions of what is considered "excellent" health. A sea-level resident moving to a new in the mountains, where the ambience has a lower content of oxygen, may feel a sudden and anemia until his or Hannah red blood cell count adapts itself to the altitude, or the relatively frail person who remains "well" within the ordinary environment of his or her presence may pass away from a heart attack from heavy shoveling after a snowstorm.

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To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

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The best description of the transformation for the image being projected on the retina is A. A dilation with a scale factor between 0 and - 1 and center at the nodal point.

An mage is inverted and reversed as it passes through the lens of the eye, and is then projected upside down and reversed onto the retina. The process of transforming the image is called "rectification."

In mathematical terms, a dilation would have taken place because the object was shrunken by the eyes at the nodal point. When an object shrinks , then the scale factor is between 0 and 1 but because this image is inverted, the scale factor is between 0 and - 1.

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False. Proportionality between the slopes of a constraint and the objective function is not a general property in optimization. The relationship between these slopes depends on the specific problem and can vary.

The proportionality between the slopes of a constraint and the objective function is not a universal principle in optimization. It is true that in some cases, there may be a proportional relationship between these slopes. This means that if the slope of a constraint increases or decreases, the slope of the objective function will also increase or decrease by a proportional amount. However, it is important to note that this proportionality is not a fundamental characteristic of all optimization problems.

In many optimization problems, the slopes of constraints and the objective function may have different behaviors and may not be directly related. The slopes can vary independently based on the specific problem structure, constraints, and objective function. In some cases, the slopes may even have an inverse relationship, meaning that an increase in the slope of a constraint leads to a decrease in the slope of the objective function, or vice versa.

In conclusion, while proportionality between the slopes of a constraint and the objective function can occur in some optimization problems, it is not a general property and does not hold true for all scenarios. The relationship between these slopes is problem-dependent and can vary significantly.

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Answer:

In standard position, the terminal ray of angle A passes through the point (10,-4) on the coordinate plane. The distance of the point (10, -4) from the origin (0,0) is the hypotenuse of a right triangle. The horizontal distance of the point from the y-axis is the x-coordinate, which is 10, and the vertical distance of the point from the x-axis is the y-coordinate, which is -4.

The secant of an angle is the ratio of the hypotenuse (c) to the adjacent side (a). In this case, the hypotenuse is the distance between the point (10, -4) and the origin (0,0) and the adjacent side is the x-coordinate which is 10.

So sec(A) = c/a = √(10² + (-4)²)/10 = √(100+16)/10 = √116/10 = √29/5

So sec(A) = √29/5 which is the simplified form.

Answer:

there is only 1 natural number between n2 and (n+1)2

Step-by-step explanation:

expand/open brackets of (n+1)2

(2×n)+(2×1) = 2n+2 can also be written as n2+2

the questions asks for the numbers between so the number between is n2+ 1. we should not count the n2 and n2+2

this is the "closure" property of natural numbers

Answer:

1

Step-by-step explanation: