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3 years ago

Mathematics with applications in the management, Natural, and Social Sciences Twelfth edition

Mathematics

1 answer:

Monica [59]3 years ago

4 0

Answer:

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

Step-by-step explanation:

$\left \{ {{10x+13y = 1125} \atop {-2x+7y = 495}} \right.$

x=14

Boomer: 10(14)+13y=1125

140+13y=1125

13y=1125-140

y= 985/13

y= 75.77 (75.77 millions of boomers in 2014)

Millenials: -2(14) +7y = 495

-28 +7y = 495

7y= 495+28

y= 523/7

y=74.71 (74.71 millios on millenials in 2014)

In 2014 the population of boombers were still greater than the population of millennials

The solution of the system of equations will give us the point where the populations were equalized, and from that point the population of boombers will be less than that of the millennials.

Boomers: 10x+13y = 1125

y= (-10x +1125)/13

Millenials: -2x+7y = 495

y= (2x+495)/7

We match both expressions of "y"

(-10x +1125)/13 =(2x+495)/7

cross multiply:

(-10x +1125)*7 =(2x+495)*13

-70x + 7875 = 26x + 6435

we group similar terms:

7875 -6435 = 26x+70x

1440 = 96x

x= 1440/96

x= 15

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

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Elanso [62]

2/7 < 0.5
1/2 = 0.5 
5/6 > 0.5 
4/2 = 2

I hoped I helped. :)

4 0

3 years ago

You have two jobs. One job pays $7 per hour and the other pays $8.25 per hour. You worked 22 hours total last week and earned $1

il63 [147K]

X = 1st job
y = 2nd job

x + y = 22......x = 22 - y
7x + 8.25y = 171.50

7(22 - y ) + 8.25y = 171.50
154 - 7y + 8.25y = 171.50
-7y + 8.25y = 171.50 - 154
1.25y = 17.50
y = 17.50 / 1.25
y = 14 <== 14 hrs at the 8.25 per hr job

x + y = 22
x + 14 = 22
x = 22 - 14
x = 8 <=== 8 hrs at the 7 per hr job

8 0

3 years ago

Can you pls help 5+4-(8*3-22)^4*4 pls help you get 25 points

Zina [86]

Answer:

5 + 4 - (8 * 3 - 22)⁴ * 4 = -55

Step-by-step explanation:

5 + 4 - (8 * 3 - 22)⁴ * 4

Follow PEMDAS which states you need to do equations in the order of:

Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction.

Knowing this, simplify inside the parenthesis by multiplying 8 and 3 first.

5 + 4 - (24 - 22)⁴ * 4

Now subtract 22 from 24 inside the parenthesis.

5 + 4 - (2)⁴ * 4

Since we are done with parenthesis, move on to the next part of PEMDAS which says to do exponents next. Take 2 to the power of 4.

5 + 4 - 16 * 4

Now that we are done with exponents, move on to the next part of PEMDAS which says to multiply/divide next. Multiply -16 and 4.

5 + 4 - 64

Now that we are done with multiplication/division, move on to the last part of PEMDAS which says to add/subtract. Add 5 and 4.

9 - 64

Finally, subtract 64 from 9 to get:

-55.

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3 years ago

The vertical lines that intersect and form 90 degree angles are called

Colt1911 [192]

Answer:

Its

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90 degree angles

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4 years ago

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OLEGan [10]

Answer:

Step-by-step explanation:

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3 years ago