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Rama09 [41]
2 years ago
12

The number of employees for a certain company has been decreasing each year by ​8%. If the company currently has 730 employees a

nd this rate​ continues, find the number of employees in 20 years.
Mathematics
1 answer:
lana66690 [7]2 years ago
4 0

Answer:

146

Step-by-step explanation:

730 divided by 100 equals 7.3 and 7.3 times 20 equals 146

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What is the difference x/x^2-16-3/x-4
kenny6666 [7]

General Idea:

When simplifying a rational expression, we need to do the below steps:

(i) Factor the Denominator of each fraction

(ii) Identify the Least Common Denominator (It is the product of prime factors involved with its highest exponent)

(iii) Identify and rewrite the equivalent fraction with the desired LCD.

(iv) Once the denominator are same, Combine the numerator.

Applying the concept:

What is the difference x/x^2-16-3/x-4

I assume that you mean to type the expression \frac{x}{x^{2}-16}  -\frac{3}{x-4}

Step 1: Factoring x^{2} -16

x^{2} -16=x^{2} -4^{2} =(x+4)(x-4)

Step 2: Identifying the LCD, we get (x+4)(x-4)

Step 3: Rewriting the second fraction by multiplying x+4 on both top and bottom of second fraction so that we get the LCD.

\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{x}{(x+4)(x-4)}   -\frac{3*(x+4)}{(x-4)*(x+4)} Step 4: Combine like terms since the denominators are same[tex] \frac{x-3(x+4)}{(x+4)(x-4)} =\frac{x-3x-12}{(x+4)(x-4)}=\frac{-2x-12}{(x+4)(x-4)} =\frac{-2(x+6)}{(x+4)(x-4)}

Conclusion:

In factored form the simplified expression =\frac{-2(x+6)}{(x+4)(x-4)}

In expanded form the simplified expression =\frac{-2x-12}{x^2-16}

8 0
3 years ago
Please help with both problems thank you!
Serggg [28]

Answer:

x > 3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
FREE BRAINLIEST FOR THE RIGHT ANSWERS
pogonyaev
The right answer for part B is d Hampstead rd
6 0
2 years ago
A ladder 25 feet long is leaning against a wall the bottom of the latter is 4 feet from the base of the wall how far up is the i
ICE Princess25 [194]

Answer:

The answer to your question is 24.7 ft

Step-by-step explanation:

Data

length of the ladder = 25 ft

distance from the ladder to the ladder = 4 ft

distance from the floor to the ladder = ?

Process

1.- Use the Pythagorean theorem to solve this problem

           c² = a² + b²

- solve for b

            b² = c² - a²

-Substitution

            b² = (25)² - (4)²

-Simplification

            b² = 625 - 16

            b² = 609

-Result

            b = 24.67 ft ≈ 24.7 ft

-Conclusion

The ladder is 24.7 ft from the floor.

3 0
3 years ago
Read 2 more answers
Solve 10 over 8=n over 10
Vikki [24]
10/8 = n/10

First, we need to simplify 10/8 into the lowest terms it can go down into. To do so, we need to find the greatest common factor (GCF) of both the numerator and denominator (10 and 8).

Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8

Looking at the listed factors above for our two numbers, we can see that the greatest common factor is 2. The GCF is 2.

Second, our next step for simplifying 10/8 down is to divide the numerator (10) and denominator (8) by our GCF we recently found which was 2.

10 \div 2 = 5 \\ 8 \div 2 = 4

We can now rewrite our fraction in the simplified form which is 5/4.

Third, our goal from the start is to get the variable (n) to one side of the problem by itself. This means we have to do everything else on the other side of the problem. We can start out by multiplying each side by 10.
\frac{5}{4} \times 10 = n

Fourth, we now need to simplify 5/4 times 10. To do this, we take the numerator and multiply it by 10. Since the numerator is 5, our problem should look like: 5 × 10. The answer is 50.
\frac{50}{4} = n

Fifth, since 50/4 can be simplified as well into lower terms. Let's do the same thing we did earlier when we simplified the earlier fraction. List the factors of the numerator (50) and denominator (4). 

Factors of 50: 1, 2, 5, 10, 25, 50
Factors of 4: 1, 2, 4

Out of the factors for both of the numbers, which are common? 1 and 2 are the common factors and 2 is the greatest, meaning that 2 is our GCF.

Sixth, like we did earlier as well, we now have to divide our numerator and denominator by our recently found GCF which is 2.

50 \div 2 = 25 \\ 4 \div 2 = 2

We now have our simplified fraction, which is also our answer. The simplified fraction is 25/2.

Answer in fraction form: \fbox {n = 25/2}
Answer in decimal form: \fbox {x = 12.5}
6 0
3 years ago
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