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Ira Lisetskai [31]
3 years ago
5

A company is looking to hire a lawyer. One law rm states that their legal fees can be determined using the

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0

Answer:

100 hours

Step-by-step explanation:

Law firm A = 350x + 22,000,

Law firm B = 410x+16,000

Where,

x = number of hours of legal assistance

What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?

Equate the legal fees of the two law firms

350x + 22,000 = 410x + 16,000

Collect like terms

350x - 410x = 16,000 - 22,000

-60x = -6,000

Divide both sides by -60

x = -6,000 / -60

= 100

x = 100 hours

The number of hours of legal assistance makes the equation true is 100 hours

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g The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people. Assume that this t
german

Answer:

a) P(t) = 11500 + 425t

b) The slope is of 425 people, which is by how much the population increases each year.

c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d) 17,875 people.

Step-by-step explanation:

A linear function that measures population after t years has the following format:

P(t) = P(0) + at

In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.

a. Write a function for the population, P, in terms of the number of years since 2000.

The first step is finding the slope.

Finding the slope:

The slope is the change in the output divided by the change in the input, during a period of time.

The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.

This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.

So the slope is

a = \frac{1700}{4} = 425

So

P(t) = P(0) + 425t

Finding the initial population:

We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that P(5) = 13625. So

P(t) = P(0) + 425t

13625 = P(0) + 425*5

P(0) = 13625 - 425*5

P(0) = 11500

So

P(t) = 11500 + 425t

b. What is the slope of the function and what does it represent in the context of the problem. Include units.

The slope is of 425 people, which is by how much the population increases each year.

c. What is the vertical intercept of the function and what does it represent? Include units

The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d. What do you believe the population was in 2015?

2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).

P(15) = 11500 + 425*15 = 17875

17,875 people.

3 0
2 years ago
Please answer all six
shepuryov [24]
What is A meant to be?
7 0
3 years ago
Answer the following questions regarding the graphed inequality.
arsen [322]

Answer:

m = 0.5, b = 2, greater than symbol >

Step-by-step explanation:

Slope:

We can find the slope value by choosing two points on our line (the two green dots are already chosen for us) and dividing the vertical distance between the points (this is called the rise) by the horizontal distance between the points (this is called the run)

Rise ÷ Run

1 ÷ 2 = 0.5

Y-Intercept:

The y-intercept is where the line cuts through the vertical y-axis. We can see that this is at y = 2

Inequality:

The area above the line is shaded in. This is to show that all values greater than the line are applicable, so we will use the greater than symbol, >

3 0
3 years ago
Find the value of x, and please explain how you got x
katen-ka-za [31]
X equals to 48

The work is shown in the picture. I hope this helps.

8 0
3 years ago
If ADEF is reflected over the x-axis, what would be the coordinates of point F?
Brut [27]

Answer:

Please check the explanation.

Step-by-step explanation:

Let the coordinates of the point F be (x, y).

When a point F(x, y) is reflected over the x-axis, the x-coordinate of the point F remains the same, and the y-coordinate of the point reverses the sign.

Thus, the rule of reflection over the x-axis:

F(x, y)   →    F'(x, -y)

Here,

F'(x, -y) would be coordinates of point F after the reflection over the x-axis.

Let say, the point F(1, 2).

The coordinate of the point F after the reflection over the x-axis would be:

F(1, 2)   →    F'(1, -2)

Thus, F'(1, -2) would be the coordinates of point F after the reflection over the x-axis.

6 0
3 years ago
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