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AysviL [449]
3 years ago
7

Suppose that the Bureau of Labor Statistics reports that the entire adult population of Mankiwland can be categorized as follows

: 25 million people employed, 3 million people unemployed, 1 million discouraged workers, and 1 million people who are either students, homemakers, retirees, or other people not seeking employment. Refer to Scenario 28-1. What is the labor-force participation rate? a. 83.3% b. 86.7% c. 93.3% d. 96.7%
Mathematics
1 answer:
melamori03 [73]3 years ago
8 0

Answer:

c. 93.3%

Step-by-step explanation:

The formula and the computation of the  labor-force participation rate is shown below:

Labor-force participation rate = Labor force ÷ Adult population

where,

Labor force = Employed people + unemployed people

                   = 25 million + 3 million

                   = 28 million

And, the adult population is

= 25 million + 3 million + 1 million + 1 million

= 30 million

So, the labor force participation rate is        

= 28 million ÷ 30 million

= 93.3%        

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Find the surface area of the following figure.
fgiga [73]

Answer:

\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

\qquad\boxed{\sf Area_{(square)}= side^2}

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x  \\\\\sf\implies x = \dfrac{ b}{3}

\rule{200}2

Hence the TSA of cuboid in terms of lenght and breadth is :-

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}

6 0
2 years ago
3. The volume of a book is 60 cubic inches. If a large
saveliy_v [14]

Answer:

720 in^3.

Step-by-step explanation:

12 * 60 = 720.

6 0
2 years ago
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This math I just can't figure out
Elena-2011 [213]

Step-by-step explanation:

Here's the first question and how to solve the second.

So the first business start with 250, that's your b in slope.

y = mx + b

y = mx + 250

Now, they charge 14 an hour so that's your m.

y = 14x + 250

x is the number of hours it takes.

The second business is straight up 22 per hour, so it's just y = mx, where b is 0.

y = 22x VS y = 14x + 250

Try plugging in different numbers and seeing how much it take to level out!

4 0
3 years ago
Y + 2/5x =1 what does y equal?
bezimeni [28]
The answer is Y=-2/5x+1 :)
5 0
3 years ago
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The value of Bulls Eye stock has decreased 8% each year for the past several years. If in 2010 the stock was worth
Ivenika [448]

Answer:

$ 32.95

Step-by-step explanation:

Cost of Stock at 2010= $ 50

Declining rate each year= 8%

We have to find cost of stock at 2015

Cost of stock after 5 years= $ 50 (1-\frac{8}{100} )^{5}

Value of stock after 5 years=  $ 50 (\frac{100-8}{100} )^{5}

Value of stock after 5 years=  $ 50 (\frac{92}{100} )^{5}

Value of stock after 5 years=  $ 32.95

Hence, the correct answer is $ 32.95

5 0
3 years ago
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