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The company sales in year 14, given the rate of increase and the amount made in sales would be C $3,656,872.

In the first year, the sales of the company were $ 475, 000 and this sales is scheduled or predicted to grow at 17 %.

This means that the company sales in year 14 would be :

= Initial sales x ( 1 + rate ) ^ number of years

Initial sales = $ 475, 000

Rate = 17 %

Number of years = 14 years

The company sales in year 14 is:

= 475, 000 x ( 1 + 17 %) ¹⁴

= $3, 656, 872

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In part (D), we found

\(2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)\)

so the phase \(\phi\) is \(\tan^{-1}\left(\frac52\right)\approx1.19\,\rm rad\), which falls between 0 and \(\frac\pi2\). This means the weight is somewhere between the maximum positive position (where \(\phi\) would be 0) and the equilibrium position (where \(\phi\) would be \(\frac\pi2\)), and would be traveling in the negative direction.

Answer:

About $11.88 per foot

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Answer: 41

Step-by-step explanation:

I think it’s forty one because each child painted one and there are forty one flower pots. Besides that much information wasn’t given so it is most likely 41 sorry if it wasn’t much help

Answer: D

I believe :0

The table which represents a linear function is table 4.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The tables in the question

Now,

The table that represents a linear function is:

X   Y

1   3

2   7

3   11

4   15

The reason this is a linear function is that for each increase in the input value of X by 1, the output value of Y increases by a constant amount of 4. In other words, the rate of change of Y with respect to X is constant at 4, indicating a linear relationship between the two variables.

Therefore, the answer of the function will be table 4.

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The answer as a result of the numerical expression above is B) 1/36

This expression is rank number:

\(( {6}^{ - 4} ) {}^{ \frac{1}{2} } = 6 {}^{ - 2} = \frac{1}{ {6}^{2} } = \frac{1}{36}.

So the answer as a result of the numerical expression above is 1/36.

From these calculations it can be seen that the rank between what is inside the brackets and what is outside it can be multiplied.

In the question above the power of -4 multiplied by the power of ½ ( (-4×½) the result is -2.

So all that's left is 6⁻². Another form of 6⁻² is 1/6² or 1/36.

This refers to the exponential rule in mathematics, namely a⁻ⁿ can be written as 1/aⁿ.

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The equations that are equivalent are:

2 + x = 5

x + 1 = 4

-5 + x = -2

If any two or more equations are equivalent, they would have the same value when evaluated.

To find which equations are equivalent, solve to find the value of x in each given equation.

A. 2 + x = 5

x = 5 - 2

x = 3

B. x + 1 = 4

x = 4 - 1

x = 3

C. 9 + x = 6

x = 6 - 9

x = -3

D. x + (-4) = 7

x  = 7 + 4

x = 11

E. -5 + x = -2

x = -2 + 5

x = 3

The equivalent equations are:

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Answer:

the water rises 50ft  per minute so for 60min you have to multiply 60 x 50 which will be 3000ft in 60mins

Step-by-step explanation:

Answer:999

Step-by-step explanation:11x9=999

Answer:

$400

Step-by-step explanation:

Given

5% commission worth of $8000 total sales

.05*8000= $400 Ans

Answer:

Step-by-step explanation:

you look it up, If that doesn't work, see if someone asked the same question on this, if not, I got nothing.

Answer:

D.

Step-by-step explanation:

Answer:

the answer for the problem is D.

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

Larger force= 66.28 pounds

Step-by-step explanation:

The angle of the resultant force 80 pounds = 180-(52+20)

The angle of the resultant force 80 pounds = 180-72

The angle of the resultant force 80 pounds = 108°

The larger force is the force with 52°

Let the larger force be x

Magnitude of the larger force

x/sin52 = 80/sin108

X= sin52 *(80/sin 108)

X= 0.7880*(80/0.9511)

X = 0.7780*(84.1131)

X = 66.28 pounds

Answer:

21

Step-by-step explanation:

Answer:

1.67

Step-by-step explanation:

25/15 = 1.67

The mean is estimated by dividing the total of the values by the range of values.

We have the next number

And we must round it to the nearest hundredth.

We know two the nearest hundreth means two decimal places.

Seeing that the third decimal place is 6 and 6 > 5 we must add 1 to the second decimal place. Then, we obtain

ANSWER:

Answer:

1.2n=0.45n+1.5

Step-by-step explanation:

Answer:

The answer is B / y= 10x+25

Step-by-step explanation:

your welcome

Answer:

B. Birr 750

Step-by-step explanation:

Therefore, 8% of Birr 750 is Birr 60.

Solution:

Note that:

Solving for x.

Option B is correct.

Hoped this helped!

Step-by-step explanation:

Let the ticket sold to the students be x, and the one sold to the non-students be y.

2.5x + 4y = 1012.50

x + y = 285

2.5x + 4y = 1012.50

2.5x + 2.5y = 285*2.5

1.5y = 1012.5 - 712.5

1.5y = 300

3y/2 = 300

y = 300 *2/3 = 200

x = 285 - 200 = 85

Therefore 200 tickets and another kind of 85 tickets were sold.

ANSWER

Mode

EXPLANATION

To answer this question, we have to know the definition of each option:

=> MEAN: this is the average value of a data set which is calculated by adding all the values in the data set and dividing by the number of data points.

=> MEDIAN: this is the value that occurs in the middle of a data set when it is arranged in numerical order. It can be identified form a data set but some times, it has to be calculated.

=> MODE: this is the value that occurs most frequently in a dat set. It is always identified from the data set.

=> RANGE: this is calculated by finding the difference between the greatest value and the least value.

Any term that can be or has to be calculated might not be found in the data set.

As we can see, there is only one term that is not calculated but instead identified, that is the mode.

Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

It's possible that Tierra, Cameron, or Justin used different equations to express the same connection and interest account total.

When you offer someone money, you do it either because you are purchasing something for them or since you owe them money. You pay what you owe when you pay for anything, such a payment or debt.

She put an incredible/exorbitant amount of work into arranging her garden. A candidate's ability to spend funds is now restricted under the new law. We have a lot of assets at our disposal. Meaning We have such a lot of resources at our disposal.

If the interest rate is \(1/2\)% and it is paid annually,

\(0.005M\)

Adding this interest to the initial balance \(M\) gives the total amount of money saved after one year:

\(T = M + 0.005M = 1.005M\)

Therefore, the equation for the amount of money in the savings account after one year with \(1/2\)% interest paid annually is

\(T = 1.005M\)

Tierra, Cameron, and Justin may have written different equations to represent the same relationship,

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It's possible that Tierra, Cameron, or Justin used different equations to express the same connection and interest account total.

What does "paid amount" mean?

You either give someone money because you are buying something for them or because you owe them money when you do so. When you pay for something, including a payment or obligation, you pay what you owe.

What does number look like?

She put an incredible/exorbitant amount of work into arranging her garden. A candidate's ability to spend funds is now restricted under the new law. We have a lot of assets at our disposal. Meaning We have such a lot of resources at our disposal.

If the interest rate is 1/2 % and it is paid annually,

0.005M

Adding this interest to the initial balance  gives the total amount of money saved after one year:

T = M + 0.05M

T = 1.05M

Therefore, the equation for the amount of money in the savings account after one year with 1/2 % interest paid annually is,

T = 1.05M

Tierra, Cameron, and Justin may have written different equations to represent the same relationship,

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Answer:

15 oz

Step-by-step explanation:

1/10 of 30 = 30/10 = 3 oz

2/5 of 30 = 30 * 2/5 = 60/5 = 12 oz

add those up to get 3 + 12 = 15 oz eaten

there are thus 30-15 = 15 oz left in the box

Answer:

Unit rate: 21feet / 7seconds = 3 feet per second.

3 feet per second * 5 seconds = 15 feet

21 feet + 15 feet =36 feet

You are 36 feet from the surface.  

Step-by-step explanation: