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lilavasa [31]
3 years ago
7

A company now has 4500 employees nationwide. It wishes to reduce the number of employees by 250 per year through​ retirements un

til its total employment is 2300. How long will this​ take?
Mathematics
1 answer:
Darya [45]3 years ago
6 0

4500 - 2300 = 2200

They wish to get rid of 2200 employees

250(x) = 2200

Divide 2200 by 250

x = 8.8

It will take 8.8 years.

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The value of x would be 8
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3 years ago
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A ball is thrown from a height of
Alika [10]
Define
g = 9.8 32.2 ft/s², the acceleration due to gravity.

Refer to the diagram shown below.
The initial height at 123 feet above ground is the reference position. Therefore the ground is at a height of - 123 ft, measured upward.

Because the initial upward velocity is - 11 ft/s, the height at time t seconds is
h(t) = -11t - (1/2)gt²
or
h(t) = -11t - 16.1t²

When the ball hits the ground, h = -123.
Therefore
-11t - 16.1t² = -123
11t + 16.1t² = 123
16.1t² + 11t - 123 = 0
t² + 0.6832t - 7.64 = 0

Solve with the quadratic formula.
t = (1/2) [-0.6832 +/- √(0.4668 + 30.56) ] = 2.4435 or -3.1267 s
Reject the negative answer.

The ball strikes the ground after 2.44 seconds.

Answer: 2.44 s

5 0
3 years ago
Angelina factored (x - 4^8 ) and wrote that it was equal to (x^2 - 4^2)^2(x^2 + 4^2). Use complete sentences to explain how you
nikitadnepr [17]
Given is <span>(x - 4⁸)

</span>Her factors are <span>(x² - 4²)² (x² + 4²)

</span>Let us prove whether her solution is correct or not.
<span>
(x² - 4²)² (x² + 4²)</span>
(x⁴ - 4⁴) (x² + 4²) ; Follow PEMDAS rule as well as exponential multiplication rule which tells that when exponents are multiplied, the exponents will be added.

By using FOIL(First, Outside, Inside, Last) Method, we can prove if Angelina's solution is correct. NOTE: Do not disregard the positive or negative.

(<u>x⁴</u> - 4⁴) (<u>x²</u> + 4²) ; For the First, multiply the first terms. They are underlined.
This gives you a partial answer: x⁶ (Exponential Law of Multiplication is applied)

(<u>x⁴</u> - 4⁴) (x² <u>+ 4²</u>) ; For the Outside, multiply the outside terms. They are underlined. This gives you an additional to the partial answer: x⁶ + 4²x⁴

<span>(x⁴ <u>- 4⁴</u>) (<u>x²</u> + 4²) ; For the Inside, multiply the inside terms. They are underlined. This gives you an additional to the partial answer: </span>x⁶ + 4²x⁴ - 4⁴x²

(x⁴ <u>- 4⁴</u>) (x² <u>+ 4²</u>) ; For the Last, multiply the last terms. They are underlined. This will give you an additional to the final answer: x⁶ + 4²x⁴ - 4⁴x² - 16⁶ = 0

Final Answer in complete sentence:
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8 0
3 years ago
A new car is purchased for 23900 dollars. The value of the car depreciates at 14.25% per year. To the nearest tenth of a year, h
svp [43]

Answer:

The value of the car will be 6100 dollars in 8.8 years

Step-by-step explanation:

Present value of car = $23900

The value of the car depreciates at 14.25% per year

Let x be no. of years in which  the value of the car becomes 6100 dollars

Formula: N(t)=N_0(1-r)^t

Substitute the values :

6100=23900(1-\frac{14.25}{100})^x\\\frac{6100}{23900}=(1-\frac{14.25}{100})^x\\x=8.8

Hence the value of the car will be 6100 dollars in 8.8 years

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Which of what following?
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