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gogolik [260]
2 years ago
5

Enda has job offers at two companies. One company offers a starting salary of $75,000 with a raise of $2,500 each year. The othe

r company offers a starting salary of $55,000 with a raise of $5,000 each year. In how many years would Brenda's salary be the same with both companies? What will the salary be?
Mathematics
1 answer:
pantera1 [17]2 years ago
6 0

Answer:

8 years

Salary: $95000

Step-by-step explanation:

Write an equation to model the salary and its raise per year. Add the base salary to the raise per year salary times (x). Where the parameter (x) represents the number of years spent in the company.

Company (1):

75000 + 2500x

Company (2):

55000 + 5000(x)

One is asked at which year will the salaries be the same. Equate the two expressions and solve for the variable (x):

75000 + 2500x = 55000 + 5000(x)

Inverse operations:

75000 + 2500x = 55000 + 5000x

20000 + 2500x = 5000x

20000 = 2500x

8 = x

Substitute (x) into any one of the experssions and simplify to solve the epxression,

55000 + 5000(x)

x = 8

= 55000 + 5000(8)

= 55000 + 40000

= 95000

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4 pencils and 3 crayons are 20.9 inches. 5 pencils and 4 crayons are 26.5 inches. Each pencil is the same length as the other pe
erastova [34]

Answer:

The length of the pencils is 4.1 inches and for the crayons 1.5 inches

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

let "x" be the length of the pencils

let "y" be the length of the crayons

4 * x + 3 * y = 20.9

5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5

Replacing:

4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9

21.2 - 3.2 * y + 3 * y = 20.9

-0.2 * y = 20.9 - 21.2

y = -0.3 / -0.2

y = 1.5

now for x:

x = (26.5 - 4 * 1.5) / 5

x = 4.1

This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches

5 0
3 years ago
Can someone help me <br><br> 1.3x-338
Olegator [25]

Answer:

Equivalent expressions are expressions which are equal. This means they simplify to the same expression. Simplify the two expressions -1.3x - (-8.9x) = 7.6x and -1.3 + (-8.9X) = -10.2x.

Then simplify each option to determine if it is equal -1.3x - (-8.9x), -1.3 + (-8.9X) or neither:

−1.3x−8.9x  = -10.2x. This is equivalent to  -1.3 + (-8.9X) .

8.9x+(−1.3x)  = 7.6x This is equivalent to  -1.3x - (-8.9x) .

−8.9x+(−1.3x)  = -10.2x This is equivalent to  -1.3 + (-8.9X) .

8.9x−(−1.3x)  = 10.2x Neither

−1.3x+8.9x  = 7.6x This is equivalent to  -1.3x - (-8.9x)  .

−8.9x+1.3x = -7.6x Neither

Step-by-step explanation:

5 0
3 years ago
Please help, and please give me an explanation.
vichka [17]
I Believe that it is not the last 3 Answers.
7 0
3 years ago
Help me plz I’ll give brainlist plz!!!!!!!!!!!
marishachu [46]

Answer:

answer is 10/3 thats the answer

5 0
2 years ago
Solve the equation 4n2 − 16n − 84 = 0 by completing the square.
melomori [17]

4n² - 16n - 84 = 0

Multiply both sides by 1/4 :

n² - 4n - 21 = 0

Add 21 to both sides:

n² - 4n = 21

Complete the square by adding 4 to both sides:

n² - 4n + 4 = 25

(n - 2)² = 25

Solve for n :

n - 2 = ± √25

n - 2 = ± 5

n = 2 ± 5

Then n = 2 + 5 = 7 or n = 2 - 5 = -3.

8 0
2 years ago
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