If an individual makes $4,000 in salary per month and has a side job making $20 per hour for 10 hours a week for 4 weeks in a month, and they receive $1,000 per month in rent from a roommate, what is their gross income?
To find the individual's gross income, we need to calculate the total income from their salary, side job, and rent.
Salary = $4,000 per month
Side job = $20 per hour x 10 hours/week x 4 weeks = $800 per month
Rent = $1,000 per month
Total gross income = Salary + Side job + Rent
Total gross income = $4,000 + $800 + $1,000
Total gross income = $5,800
Therefore, the individual's gross income is $5,800 per month.
Which is a common way of describing net income?(1 point)
Responses
paystub
paystub
take-home pay
take-home pay
salary
salary
wages
take-home pay
What is a true statement about a 401k deduction?(1 point)
Responses
It is a contribution to the workers retirement account
It is a contribution to the workers retirement account
It is subtracted from the gross income resulting in lower taxes
It is subtracted from the gross income resulting in lower taxes
It is a mandatory deduction
It is a mandatory deduction
It is an involuntary deduction
It is an involuntary deduction
A and B
A and B.
How is direct deposit different from a paper check?
Direct deposit and paper checks are two different methods of receiving payments. Here are the differences:
Direct deposit:
1. Electronic transfer: Direct deposit involves the electronic transfer of funds from the payer's account directly into the recipient's bank account.
2. Convenience: The funds are automatically deposited into the recipient's bank account, eliminating the need to physically deposit or cash a check.
3. Timeliness: Direct deposits are generally processed and received faster than paper checks.
4. Paperless: Since direct deposit is electronic, there is no physical paper involved.
Paper check:
1. Physical document: A paper check is a physical document issued by the payer to the recipient, usually in the form of a personal or business check.
2. Manual deposit: The recipient must physically deposit the check into their bank account or cash it at a bank or a check-cashing location.
3. Processing time: It may take longer for a paper check to clear and for funds to become available compared to direct deposit.
4. Prone to loss or theft: Paper checks can be lost, stolen, or damaged, posing a potential risk in terms of security and inaccessibility to funds.
Overall, direct deposit offers convenience, speed, and a more secure way of receiving payments compared to paper checks.
How is direct deposit different from a paper check?(1 point)
Responses
When you receive direct deposit, you are only paid once a month.
When you receive direct deposit, you are only paid once a month.
When you receive direct deposit, you need a bank account.
When you receive direct deposit, you need a bank account.
When you receive direct deposit, you don't receive a statement about your pay.
When you receive direct deposit, you don't receive a statement about your pay.
When you receive direct deposit, there are more tax and benefit deductions.
When you receive direct deposit, you need a bank account.
How are direct deposit, payroll cards, and paper checks similar?(1 point)
Responses
They all require proof of identity before receiving payment.
They all require proof of identity before receiving payment.
They are all managed by outside companies.
They are all managed by outside companies.
They are all done electronically.
They are all done electronically.
They are all based on an hourly wage
They are all done electronically.
A square field has an area of 479 ft2. What is the approximate length of a side of the field? Give your answer to the nearest foot.
To find the approximate length of a side of the square field, we need to calculate the square root of its area.
Area of the square field = 479 ft²
Length of a side = √(Area)
Length of a side ≈ √479
Using a calculator, we find that the square root of 479 is approximately 21.89.
Therefore, the approximate length of a side of the square field is 22 feet (rounded to the nearest foot).
Which expression is equivalent to (–2)(a + 6)?
(1 point)
Responses
–2a + 6
–2 a + 6
2a + 12
2 a + 12
–2a – 12
–2 a – 12
–2a + 12
–2a + 12
To which subsets of real numbers does the number –22 belong? Choose all subsets that apply.
(1 point)
Responses
whole numbers
whole numbers
rational numbers
rational numbers
integers
integers
irrational numbers
irrational numbers
natural numbers
The number -22 belongs to the subsets of real numbers:
1. Integers
2. Rational numbers
Explanation:
- Integers: Integers are the set of whole numbers and their negatives. Since -22 is a negative whole number, it belongs to the set of integers.
- Rational numbers: Rational numbers are numbers that can be expressed as a fraction of two integers. -22 can be expressed as -22/1, which is a fraction of two integers. Therefore, -22 is a rational number.
Please note that -22 does not belong to the subsets of real numbers such as natural numbers (positive whole numbers) or irrational numbers (numbers that cannot be expressed as a fraction).
What is an algebraic expression for the following word phrase: "6 times the difference of b and p?"
(1 point)
Responses
6b – p
6 b – p
6(b – p)
6( b – p )
6 – bp
6 – bp
6bp
6 bp
6(b - p)
What is the simplified form of the expression?
Start Fraction 5 left-parenthesis 14 minus 2 right-parenthesis squared over 2 End Fraction
(1 point)
Responses
60
60
30
30
72
72
360
The simplified form of the expression is 60.
Explanation:
To simplify the expression, we start by evaluating the expression within the parentheses: 14 - 2 = 12.
Next, we square the result: 12^2 = 144.
Finally, we divide 144 by 2, which gives us 72.
Therefore, the simplified form of the expression is 72.
Evaluate u + xy, if u = 18, x = 10, and y = 8.
(1 point)
Responses
188
188
36
36
98
98
224
To evaluate the expression u + xy, we substitute the given values for u, x, and y.
u = 18, x = 10, y = 8
Therefore, u + xy = 18 + (10)(8) = 18 + 80 = 98.
So, the value of u + xy is 98.
Which statement accurately evaluates the impact of the flow of goods, peoples, and ideas between the Old World and the New World during the sixteenth century?(1 point)
Responses
The flow of goods, peoples, and ideas only affected the New World.
The flow of goods, peoples, and ideas only affected the New World.
The flow of goods, peoples, and ideas caused long-reaching societal, cultural, biological, and agricultural changes on both sides of the Atlantic.
The flow of goods, peoples, and ideas caused long-reaching societal, cultural, biological, and agricultural changes on both sides of the Atlantic.
The flow of goods, peoples, and ideas only affected the Old World.
The flow of goods, peoples, and ideas only affected the Old World.
The flow of goods, peoples, and ideas had no impact at all.
The flow of goods, peoples, and ideas had no impact at all.
The flow of goods, peoples, and ideas caused long-reaching societal, cultural, biological, and agricultural changes on both sides of the Atlantic.
Analyze the effects on the Americas that were caused by the Columbian Exchange.(1 point)
Responses
The effects of the human migration caused by the Columbian Exchange on the Americas included the happiness of its residents about living somewhere new.
The effects of the human migration caused by the Columbian Exchange on the Americas included the happiness of its residents about living somewhere new.
The effects of the human migration caused by the Columbian Exchange on the Americas included opportunities for enslaved people to work off their debt and free themselves.
The effects of the human migration caused by the Columbian Exchange on the Americas included opportunities for enslaved people to work off their debt and free themselves.
The effects of the human migration caused by the Columbian Exchange on the Americas included the decline of Indigenous populations and development of American Creole cultures.
The effects of the human migration caused by the Columbian Exchange on the Americas included the decline of Indigenous populations and development of American Creole cultures.
The effects of the human migration caused by the Columbian Exchange on the Americas included an increase in the population of Indigenous Americans.
The effects of the human migration caused by the Columbian Exchange on the Americas included the decline of Indigenous populations and development of American Creole cultures.
Which of the following explains a result of the Commercial Revolution in Europe?(1 point)
Responses
Spain experienced long-term wealth and economic power.
Spain experienced long-term wealth and economic power.
Global trade and exchange decreased.
Global trade and exchange decreased.
New World commodities were banned from Old World markets.
New World commodities were banned from Old World markets.
The influx of silver caused inflation in European economies.
The influx of silver caused inflation in European economies.
Mercantilism was a political-economic system that many European nations instituted in their American colonies to maximize their profits. Which of the following was a key element of mercantilism?(1 point)
Responses
Colonies were banned from free trade and supplied raw materials to their mother country.
Colonies were banned from free trade and supplied raw materials to their mother country.
Colonies produced finished goods using raw materials from Europe.
Colonies produced finished goods using raw materials from Europe.
Colonies directly benefited from the wealth gained from trade.
Colonies directly benefited from the wealth gained from trade.
Colonies were permitted to freely trade with other European nations.
Colonies were banned from free trade and supplied raw materials to their mother country.
An analysis of the long-term impacts of the Columbian Exchange on Indigenous North American populations would show that(1 point)
Responses
Indigenous groups resisted European invasion of their homelands.
Indigenous groups resisted European invasion of their homelands.
Indigenous cultures faced the threat of extinction.
Indigenous cultures faced the threat of extinction.
productive and thriving trade agreements were formed.
productive and thriving trade agreements were formed.
Old World goods became widely accessible to Indigenous populations.
An analysis of the long-term impacts of the Columbian Exchange on Indigenous North American populations would show that Indigenous cultures faced the threat of extinction.
How will an object at rest be affected if multiple forces working on it are opposed but unbalanced?(1 point)
Responses
Motion will be either created, stopped or changed.
Motion will be either created, stopped or changed.
The unbalanced forces will cause the object to produce a humming sound.
The unbalanced forces will cause the object to produce a humming sound.
The acceleration of the object will increase.
The acceleration of the object will increase.
The mass of the object will decrease
Motion will be either created, stopped, or changed.
A blue car weighing 1,302 kg is accelerating forward at a rate of 4 m/s2
. What is the forward force of the car? (1 point)
Responses
1,306 N
1,306 N
325.5 N
325.5 N
5,208 N
5,208 N
1,298 N
To calculate the forward force of the car, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a).
Given:
Mass (m) = 1,302 kg
Acceleration (a) = 4 m/s²
Applying the formula:
Force (F) = mass (m) × acceleration (a)
F = 1,302 kg × 4 m/s²
F = 5,208 N
Therefore, the forward force of the car is 5,208 N.
Two people collide on a busy city street. What information is needed to calculate the force one of the people exerts on the other person?(1 point)
Responses
the velocity of each person
the velocity of each person
the speed of each person
the speed of each person
the mass and acceleration of each person
the mass and acceleration of each person
the location of the collision
To calculate the force one person exerts on the other person during a collision, the following information is needed:
1. The mass of each person: The force of the collision depends on the mass of the individuals involved.
2. The acceleration experienced by each person: The change in velocity during the collision will determine the acceleration experienced by each person.
So, the information needed to calculate the force one person exerts on the other person includes the mass and acceleration of each person involved in the collision.
A soccer ball rests on the ground in a stationary position. Which of the following best describes the forces acting on the ball? (1 point)
Responses
balanced forces
balanced forces
unbalanced forces
unbalanced forces
unequal forces
unequal forces
accelerating forces
Balanced forces
Two bowling balls of different masses collide while accelerating at 1.875 m/s2
. The first ball, rolling to the right, weighs 7 kg. The second ball, rolling to the left, weighs 4 kg. What force does the bowling ball weighing 7 kg exert on the bowling ball weighing 4 kg?(1 point)
Responses
13.125 N to the right
13.125 N to the right
7.5 N to the left
7.5 N to the left
8.875 N to the right
8.875 N to the right
3.73 N to the right
To calculate the force that the bowling ball weighing 7 kg exerts on the bowling ball weighing 4 kg, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a).
Given:
Mass of the first ball (m1) = 7 kg
Mass of the second ball (m2) = 4 kg
Acceleration (a) = 1.875 m/s²
We need to find the force exerted by the first ball on the second ball, so we'll use F = m2 × a.
F = 4 kg × 1.875 m/s²
F = 7.5 N to the left
Therefore, the force that the bowling ball weighing 7 kg exerts on the bowling ball weighing 4 kg is 7.5 N to the left.