Suppose that the adult population is 4 million, the number of unemployed is 0.25 million, and the labor-force participation rate is 75%. What is the unemployment rate? a. 8.3% b. 18.75% c. 6.25% d. 9.1%

Answers

Answer 1
Answer:

Answer:

a. 8.3%

Step-by-step explanation:

Unemployment rate is the percentage of unemployed people amongst those who are available for work (labour force participation) not just the entire population.

So firstly we find the people who are available for work from the total population = (75)/(100) * 4 000 000 = 3 000 000

Then we find the unemployment rate:

(number of unemployed people)/(number of people available to work)*100 = (250000)/(3000000)*100 = 8.3%

Answer 2
Answer:

Final answer:

The unemployment rate is calculated by dividing the number of unemployed individuals by the total labor force, not the total adult population. In the scenario given, the unemployment rate is 8.3%.

Explanation:

The question asks for the calculation of the unemployment rate given an adult population of 4 million, 0.25 million unemployed, and a labor-force participation rate of 75%. It's essential to note that the unemployment rate is calculated as the number of unemployed people divided by the people in the labor force, not the total adult population.

In this case, considering the labor-force participation rate is 75%, we need to first calculate the total labor force. 75% of the adult population equals 3 million individuals (0.75 * 4 million). After that, the unemployment rate can be calculated by dividing the number of unemployed individuals by the labor force and then multiplied by 100 to get it in percentage terms. This results in (0.25 million / 3 million) * 100 = 8.3%

So, the answer is a. 8.3% is the unemployment rate.

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There are 6 rotten mangoes and 24 good mangoes in a bag. What fraction of the mangoes is rotten?

Answers

\sf \bf {\boxed {\mathbb {Given:}}}

Total number of rotten mangoes in the bag = 6

Total number of good mangoes in the bag = 24

\sf \bf {\boxed {\mathbb {To\:find:}}}

Fraction of the rotten mangoes to the total mangoes.

\sf \bf {\boxed {\mathbb {Solution:}}}

\implies {\blue {\boxed {\boxed {\purple {\sf { (1)/(5) }}}}}}

\sf \bf {\boxed {\mathbb {Step-by-step\:explanation :}}}

Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes

\:6 + 24

\:30

Now,

Fraction = (Total \: \:   number  \:  \: of \:  \:  rotten \:  \:  mangoes)/(Total  \:  \: number  \:  \: of \:  \:   mangoes)

\:  (6)/(30)

\:  (1)/(5)

Therefore, the fraction of the rotten mangoes to the total mangoes is \sf\pink{(1)/(5)}.

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

Answer:

6/24

Step-by-step explanation:

It is 1/4 in simplest form

What is the value of the product (3 - 2i)(3 + 2i)

Answers

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

FOIL

first  3*3 = 9

outer 3*2i = 6i

inner -2i*3 = -6i

last  -2i * 2i = -4i^2 = -4(-1) =4

Add together

9+6i-6i+4 = 13

Here is a list of numbers: 12, 13, 19, 16 ,32, 15, 13.a)work out the range of the numbers in the list.
b)work out the mean of the numbers in the list

Answers

The range of the numbers in the list is 20 and the mean of the numbers in the list is 17.14

Work out the range of the numbers in the list.

To calculate the range of the numbers in the list, subtract the smallest number from the largest number:

Range = Largest number - Smallest number

Range = 32 - 12 = 20

Work out the mean of the numbers in the list

To calculate the mean of the numbers in the list, add all the numbers and divide by the total number of numbers:

Mean = (12 + 13 + 19 + 16 + 32 + 15 + 13) / 7 = 120 / 7

Mean ≈ 17.14

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(3x²y³)(-5xy^{4}z)When multiplying the variables, do you multiply the x by the x next to the y^{4}z, and the y with the y^{4}? I asked my teacher this question for a similar problem and he said not to. When I asked my dad for help with this problem, he said that you do and the answer is -15x^{3}y^{7}z. Which method is correct?

Answers

remember
x^m=x times itself m times

REMEMBER THAT MULCTIPLICATION IS COMMUTATIVE
a(bc)=(ab)c


so basically
(abc)(3ac)=a*b*c*3*a*c=a*a*c*c*b*3=3a^2bc^2
group and regroup and move around


so in your problem
(3x^2y^3)(-5xy^4z)=
(3)(x^2)(y^3)(-5)(x)(y^4)(z)=
(3)(-5)(x^2)(x)(y^3)(y^4)(z)=
(-15)(x^3)(y^7)(z)=
-15x^3y^7z

John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. Write an equation to model this situation, and find the cost of one large drink.A. 3d + $14.00 – $7.00 = $12.10; $1.90

B. 3d – $14.00 + $7.00 = $12.10; $9.55

C. 3d + $14.00 – $7.00 = $12.10; $1.70

D. 2d + $14.00 – $7.00 = $12.10; $2.55

Answers

Answer:

The equation to model this situation is  3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .

Option (C) is correct .

Step-by-step explanation:

As given

John and 2 friends are going out for pizza for lunch.

They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10.

let us assume that the numbers of large drinks are represented by d .

Than the equation becomes

Total money spend = Number of drinks × d + Pizza cost  - Gift certificate amount .

Putting all the values in the above

12.10 = 3d + 14.00 - 7.00

Simplify the aboves

12.10 = 3d + 14 - 7

12.10 = 3d + 7

12.10 - 7 = 3d

5.1 = 3d

d = (5.1)/(3)

d = $ 1.7

Therefore the equation to model this situation is  3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .

Option (C) is correct .

Its no D because you need to divide by 3 not 2. Your answer should be C.

Plzzzz help me but dont ansewer if you dont know it. 100 points

Answers

The first one is 2x-3y/2
The second one is 1/x+2
The third one is (2x-5y)/(2x+5y)
The fourth one is x^2/z^2

The first one is 2x-3y/2

The second one is 1/x+2

The third one is (2x-5y)/(2x+5y)

The fourth one is x^2/z^2