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Pavlova-9 [17]
3 years ago
14

Ajay Analyzed two companies and has formulated tables to model each company growth, where x represents the age of the companies

in years and y represents growth in terms of number of employees

Mathematics
2 answers:
loris [4]3 years ago
5 0

If the number of employees is an indicator of a successful business, the company that Ajay should invest is company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year. You can also see form the table above that as the number of years increased, the number of employees also increases. Company 1 and 2 is directly proportional with the number of years and the number of employees.

Hope this helps!

tensa zangetsu [6.8K]3 years ago
5 0

Answer:

Option D.

Step-by-step explanation:

In the given question the number of employees is an indicator of a successful business.

Now we will analyze how the employees are being added in two companies.

Ajay will invest his money in the company which adds the employees more.

Company 1.

6 employees are being added so addition of employees are in the arithmetic progression.

Company 2.

There is a common ratio of 6 in each term of y which indicates the sequence formed is an exponential sequence.

And it's a fact that exponential growth is always greater than the linear growth.

Therefore, company 2 should be the choice of Ajay to invest his money.

Option D. is the answer.

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Read 2 more answers
O, R and S are points in the same horizontal plane. /OR/ = 20m and /OS/= 32m.The bearing of R and S from O are 030° and 135° res
Viktor [21]
<h3>Answer:  roughly 12.6274 meters</h3>

The more accurate value is 12.6274169979696, though it's not fully exact.

Round this however you need to.

The exact distance 32*sin(45) - 10 meters.

===========================================================

Explanation:

Refer to the diagram below.

I'll use point A in place of point O since the letter 'oh' is very similar looking to the number zero.

Plot point A at the origin (0,0). While at point A, look directly north. Then turn 30 degrees eastward to look at the bearing 030°. Next, move 20 meters along that bearing direction to arrive at point R. Segment AR is 20 meters long.

In the diagram, note how angle RAB is 30 degrees. The side opposite this is BR = m.

We can use the sine ratio to say that

sin(angle) = opposite/hypotenuse

sin(A) = BR/AR

sin(30) = m/20

m = 20*sin(30)

m = 10

-----------------------------------

While still at point A, look directly north and turn 135 degrees clockwise (ie toward the east) and move 32 meters along that bearing. You'll arrive at point S as the diagram shows.

Notice how

angle RAB + angle RAC + angle CAS = 30+60+45 = 135

The remaining angle DAS is 180-135 = 45 degrees.

When focusing on triangle DAS, we can say

sin(A) = DS/AS

sin(45) = n/32

n = 32*sin(45)

n = 22.6274169979696

This value is approximate.

----------------------------------

Subtract the values of m and n

n - m = 32*sin(45) - 10 = exact distance

n - m = 22.6274169979696 - 10

n - m = 12.6274169979696

n - m = 12.6274 = approximate distance

Round it however you need to. I'm choosing to round to four decimal places.

So we see that point S is roughly 12.6274 meters east of point R.

If your teacher wants the exact distance, then stick with 32*sin(45)-10.

8 0
3 years ago
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