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choli [55]
3 years ago
11

Emily was offered a job after college earning a salary of $35,000. She will get a raise

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

Step-by-step explanation:

Salary offered to Emily after college = $35000

Rise in her salary = $2000 every year

Let she works for x years in the company,

Salary rise in her salary = $2000x

Total salary after x years = $(35000 + 2000x)

The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.

A function these variables is C(x) = 35000 + 2000x

So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.

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Can someone plz help me thank you
rodikova [14]
7.

Direct variation is:

\sf y=kx

Where 'k' is the constant of variation. Let's plug in y = -6 and x = 10 into the formula:

\sf -6=k(10)

Divide 10 to both sides:

\sf k=-\dfrac{3}{5}

Plug this in for 'k' in our formula:

\sf y=-\dfrac{3}{5}x

This is our formula. To find out what 'y' is when 'x' = 5, plug in 5 for 'x':

\sf y=-\dfrac{3}{5}(5)

Multiply:

\boxed{\sf y=-3}

9.

Let's plug in y = 9 and x = 8 into our formula:

\sf 9=k(8)

Divide 8 to both sides:

\sf k=\dfrac{9}{8}

So our equation is:

\sf y=\dfrac{9}{8}x

Now let's plug in 18 for 'y' to find out what 'x' is when y = 18:

\sf 18=\dfrac{9}{8}x

Divide 9/8 to both sides or multiply by its reciprocal 8/9:

\sf x=18\cdot\dfrac{8}{9}\rightarrow \boxed{\sf 16}
6 0
3 years ago
A person drove 36 miles per hour on a trip. If he had driven 48 miles per hour he would have arrived 4 hours earlier. What was t
nlexa [21]

Answer:

d = 576

Step-by-step explanation

Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.

Let the time traveled by the fast car = t

Let the time traveled by the slower car = t+4

Let the rate of travel of the slow car = 36 mph

Let the rate of travel of the fast car = 48 mph

===========

d = 36*(t + 4)

d = 48 * t

Since the distance is the same, they can be equated.

48t = 36(t + 4)           Remove the brackets.

48t = 36t + 144          Subtract 36t from both sides.

48t - 36t = 144           Combine

12t = 144                     Divide by 12

t = 144/12

t = 12

Therefore the faster car takes 12 hours to get where it is going.

d = 48 * t

d = 48 * 12

d = 576

6 0
4 years ago
Let event A = The place is a city
Nutka1998 [239]
<h3>Answer:   C. 3/7</h3>

There are 3 places in which are cities and they are in North America (Houston, Miami, Toronto). This is out of 7 places total.

8 0
3 years ago
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ollegr [7]

8x - 6 + 2 + 3x - 5
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6 0
3 years ago
Help:
dalvyx [7]

Answer:

Step-by-step explanation:

a. (11x) + (22x)= 33x

b. (-6x) - (-6x) = 0

c. (-13) + (14x) - (+13t) = -13t + 14x - 13

d. (-4t) + (+4t) - (-6t) = 6t

4 0
3 years ago
Read 2 more answers
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