Bianca and Dave are a married couple filing a joint tax return. They have a combined gross income of $81,031 and claim four exemptions. They can make an adjustment of $2,914 for business expenses, an adjustment of $1,939 for business losses, a deduction of $4,140 for medical expenses, an adjustment of $4,825 for contributions to their retirement fund, and a deduction of $2,420 for charitable donations. If exemptions are worth $3,650 apiece and the standard deduction for a joint return is $8,350, what is their total taxable income?
a.
$50,193
b.
$41,843
c.
$48,403
d.
$52,793

Answer:

the area is 816

Step-by-step explanation:

Step-by-step

12 + 5 = 17

17 / 2 = 8.5

8.5 * 96 = 816

the area is 816

Answer: Thou answer shalt be Le letter B. 8:125

The first meeting point of the ferries represents half of the total roundtrip, while the second meeting point represents a quarter of it. Knowing this proportion and the distances at which the meetings happen, we conclude that the distance between shores A and B is 200 meters.

This problem can be solved using rates and proportions. Consider the total round trip of each ferry. The first meeting is at 100 meters from shore B and the second meeting is  50 meters from shore A.

Imagine a full roundtrip travel, from A to B and back to A. When the ferries meet for the first time, they have collectively completed one full round trip (distance A to B and B back to A). At their second meeting, they have collectively made two full round trips.

This means that the first meeting happened at 1/2 of the round trip distance and the second meeting happened at 1/4 of the round trip distance, meaning that the second meeting point was half the distance of the first meeting point. Based on where the second meeting point is (50 meters from shore A), we know that the first meeting point (100 meters from shore B) is twice the distance of the second meeting point from shore A.

Now, we understand the distances as follow: the total distance from shore A to shore B is the sum of the distance from the first meeting point to shore B (100 meters) and twice the distance from the second meeting point to shore A (2*50 meters), which sums up to 200 meters. Therefore, the distance between shores A and B is 200 meters.

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Answer:|

y=|x+.5|

Step-by-step explanation:

I found my answer by drawing a graph and then moving 2 spaces left then you need to do absolute values

you also need to plot some points on the graph to see where there is a straight line

I hope this helps

Final answer:

The slope of the line that passes through the points (4,1) and (2,8) is calculated using the slope formula and results in a slope of -3.5.

Explanation:

To find the slope of a line passing through the ordered pairs (4,1) and (2,8), you can use the slope formula:

Plugging in the values, we get:

Therefore, the slope of the line that passes through the points (4,1) and (2,8) is -3.5.

The slope of the line passing through the given points is -3.5.

Let’s find the slope of the line passing through the points (4, 1) and (2, 8).

The slope of a line can be calculated using the following formula:

[tex]\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

where:

• [tex](x_1) and (y_1)[/tex] are the coordinates of the first point (in this case, (4, 1)).

• [tex](x_2) and (y_2)[/tex] are the coordinates of the second point (in this case, (2, 8)).

Let’s compute the slope:

1. Difference in (x)-coordinates: [tex](x_2 - x_1 = 2 - 4 = -2)[/tex]

2. Difference in (y)-coordinates:[tex](y_2 - y_1 = 8 - 1 = 7)[/tex]

Now, calculate the slope:

[tex]\text{slope} = \frac{7}{-2} = -3.5[/tex]

Therefore, the slope of the line passing through the given points is -3.5.

The correct answer is:  B) 10

Step 1:

To calculate the number of two-topping sandwiches you can make from the given toppings, you can use the combination formula:

[tex]\[C(n, k) = \frac{n!}{k!(n-k)!}\][/tex]

Where:

- [tex]\(n\)[/tex] is the total number of toppings available (5 in this case).

- [tex]\(k\)[/tex] is the number of toppings you want to choose (2 in this case).

- [tex]\(C(n, k)\)[/tex] represents the number of combinations.

Step 2:

Substituting the values:

[tex]\[C(5, 2) = \frac{5!}{2!(5-2)!}\][/tex]

[tex]\[C(5, 2) = \frac{5!}{2!3!}\][/tex]

[tex]\[C(5, 2) = \frac{5 × 4}{2 × 1}\][/tex]

[tex]\[C(5, 2) = \frac{20}{2}\][/tex]

[tex]\[C(5, 2) = 10\][/tex]

So, you can make [tex]\(10\)[/tex] two-topping sandwiches from the given toppings.

Final answer:

Lettie's dog weighs 123.88 pounds, calculated by multiplying Mia's dog's weight of 32.6 pounds by 3.8.

Explanation:

Calculating Lettie's Dog's Weight:

To find out how much Lettie's dog weighs, we need to perform a simple multiplication calculation because we are told Lettie's dog weighs 3.8 times as much as Mia's dog. Mia's dog weighs 32.6 pounds, so the weight of Lettie's dog will be:

32.6 pounds × 3.8 = 123.88 pounds.

It's important to remember that when we're dealing with measurements such as weight, we need to ensure that we stick to the same unit for a proper comparison. Given that we're talking about the weight of dogs, the pound is the most suitable unit of measurement for this context. Thus, we would not be using ounces or tons here, as those units are suitable for much lighter or heavier items, respectively.

Osman can calculate the cost to replace the unusually shaped picture window by determining its area and then using the formula C = (Area of the window × $8) + $35 to find the total cost. The final total should be rounded to the nearest cent. However, without the window's dimensions, an exact cost cannot be calculated.

To calculate the cost to replace the unusually shaped picture window in Osman's parents' living room, we must first determine the area of the window to find out how many square feet of glass are needed. Once we have the area, we can multiply by the cost per square foot and add the installation fee. Unfortunately, the question does not provide the necessary dimensions of the window, so we cannot proceed with the exact calculations. However, I will provide a general formula that Osman could use to calculate the replacement cost.

Let's assume that the dimensions of the window are provided and that we have managed to calculate the area, A, in square feet. The cost of the replacement glass will then be A × $8. After calculating this, Osman would need to add the installation fee, which is $35. So the total cost to replace the window, C, would be calculated using the formula:

C = (A × $8) + $35

Once Osman replaces the window, if the total calculated cost is not a whole number, he should round it to the nearest cent.

The solutions for the triangle are:   ∠A = 51.833...° , ∠B = 70.880...° and ∠C = 57.286...°

Explanation

For finding the unknown angles, we need to use Cosine rule. The formulas are...

[tex]cos A = \frac{b^2+c^2-a^2}{2bc} \\ \\ cos B= \frac{a^2+c^2-b^2}{2ac}\\ \\ cos C= \frac{a^2+b^2-c^2}{2ab}[/tex]

Given that the length of three sides of the triangle as : [tex]a= 11.4, b= 13.7[/tex] and [tex]c=12.2[/tex]

Thus,

[tex]cosA= \frac{(13.7)^2+(12.2)^2 -(11.4)^2}{2(13.7)(12.2)} \\ \\ cosA= \frac{206.57}{334.28} \\ \\ cosA= 0.61795... \\ \\ A= cos^-^1 (0.61795...)= 51.833... degree\\ \\ \\ \\  cos B= \frac{(11.4)^2+(12.2)^2 -(13.7)^2}{2(11.4)(12.2)}\\ \\ cos B= \frac{91.11}{278.16} \\ \\ cos B= 0.3275...\\ \\ B= cos^-^1 (0.3275...)= 70.880... degree \\ \\ \\ \\ cos C= \frac{(11.4)^2+(13.7)^2 -(12.2)^2}{2(11.4)(13.7)}\\ \\ cos C= \frac{168.81}{312.36} \\ \\ cos C= 0.54043...\\ \\ C= cos^-^1 (0.54043...)= 57.286... degree[/tex]

Answer

To simplify the answer above this one, it is

C) A=51.8 B=70.9 C=57.3

Step-by-step explanation:

I got it right on edge

Answer:

50

Step-by-step explanation:

Let

The relationship between x and y can be represented through a linear equation.

y = a . x + b

where,

a is the slope

b is the y-intercept

The slope represents the cost per each person employed, that is, a = $28,826.00/person.

Then,

y = ($28,826.00/person) . x + b

Even if no person is hired (x = 0), there is a fixed cost of $41,949.00 (y = $41,949.00).

$41,949.00 = ($28,826.00/person) . 0 + b

b = $41,949.00

The final equation is

y = ($28,826.00/person) . x + $41,949.00

If the company will spend $1,483,249.00 (y = $1,483,249.00.),

$1,483,249.00 = ($28,826.00/person) . x + $41,949.00

1,441,300 = ($28,826.00/person) . x

x = 50 person (50 people)

The company intends to employ 50 people next year.