Let's break down each question based on the information provided.
Question 1: If someone earns an annual salary of $70,000 and pays 30% in taxes, to find their annual take-home pay, we would calculate it as follows:
\[ \text{Take-home pay} = \text{Annual salary} \times (1 - \text{tax rate}) \] \[ \text{Take-home pay} = 70,000 \times (1 - 0.30) = 70,000 \times 0.70 = 49,000 \]
So, the correct response is $49,000.
Question 2: To determine if $17.00 per hour is considered a living wage, we would need to compare that wage to the living wage thresholds for different family situations.
Calculating the annual salary based on $17.00 per hour: \[ \text{Annual salary} = 17 \text{ dollars/hour} \times 40 \text{ hours/week} \times 52 \text{ weeks/year} = 17 \times 2080 = 35,360 \]
Next, we consider which family situation would classify $35,360 as a living wage. Commonly, single adults without children earn less than the living wage threshold because they do not incur childcare costs. As such, $17/hour would likely be adequate for:
- 1 adult, 0 children, as they have no childcare expenses to consider.
Therefore, the appropriate response is 1 adult, 0 children.
Question 3: For Angel living in a household with 2 working adults and 2 children, we need to check which of the provided salaries would meet or exceed a living wage.
Given the previously calculated salary of $35,360 per year for Angel as a home health aide at $17/hour, we check the other two options:
-
Sonographer: $38/hour \[ \text{Annual salary} = 38 \times 40 \times 52 = 38 \times 2080 = 79,040 \]
-
Physical Therapist: $48/hour \[ \text{Annual salary} = 48 \times 40 \times 52 = 48 \times 2080 = 99,840 \]
Both the sonographer and the physical therapist earn significantly more than the living wage threshold.
Thus, the salaries that provide pay equal to or above a living wage for the household with 2 working adults and 2 children are:
- Sonographer: $38/hour
- Physical Therapist: $48/hour
Therefore, the answers to Question 3 are Sonographer: $38/hour and Physical Therapist: $48/hour.