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4 years ago

(HELP FOR 100 POINTS) state the minimum monthly income and hourly wage per worker

2 answers:

6 0

The federally mandated minimum wage in the United States is 7.25 U.S. dollars per hour, although the minimum wage varies from state to state. As of January 1, 2020, the District of Columbia had the highest minimum wage in the U.S., at 14 U.S. dollars per hour. This was followed by Washington state, which had 13.5 U.S. dollars per hour as the state minimum wage.

Mariana [72]4 years ago

5 0

Answer:

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income = US$ 7,846.40

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Monthly costs of a 2-adult and 3-children family in the Modesto metro area = US$ 7,846

Full-time worker = 4 weeks of 40-hour per month

Part-time worker = 2 weeks of 40-hour per month

2. Let's calculate the minimum monthly income and hourly wage per worker

Full-time worker hourly wage = Monthly costs/160

Part-time worker hourly wage = Monthly costs/80

Full-time worker hourly wage = 7,846/160

Part-time worker hourly wage = 7,846/80

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Full-time worker minimum monthly income = Hourly wage * 160

Part-time worker minimum monthly income = Hourly wage * 80

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income = US$ 7,846.40

Step-by-step explanation:

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Answer:

$\large\boxed{1.\ f(6)=5\ or\ f(6)=20}\\\boxed{2.\ d=5}\\\boxed{3.\ vertex=(-3,\ -1)}$

Step-by-step explanation:

$1.\\\text{Put x = 6 to the equation of a function}\ f(x):\\\\\text{If}\ f(x)=\dfrac{1}{2}x+x-4\to f(6)=\dfrac{1}{2}(6)+6-4=3+6-4=5\\\\\text{If}\ f(x)=\dfrac{1}{2}x^2+x-4\to f(6)=\dfrac{1}{2}(6^2)+6-4=\dfrac{1}{2}(36)+2=18+2=20\\\\2.\\\text{The formula of a distance between two points:}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{We have the points (2, -4) and (5, -8). Substitute:}\\\\d=\sqrt{(5-2)^2+(-8-(-4))^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5$

$3.\\\text{The vertex formula of a parabola:}\\\\y=a(x-h)^2+k\\\\(h,\ k)-vertex\\\\\text{We have}\ y=(x+3)^2-1=(x-(-3))^2-1\\\\\text{Therefore the vertex is:}\ (-3,\ -1).$

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