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Tema [17]
3 years ago
11

Nick and Nora are married and have three children in college. They have an adjusted gross income of $47,400. If their standard d

eduction is $12,600, itemized deductions are $14,200, and they get an exemption of $4,000 for each adult and each dependent, what is their taxable income?
Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

We know that Nick and Nora are married and have three children who are studying in college.

Also, their gross income = $47,400

Standard deduction = $12,600

Itemized deductions = $14,200

Exemption = $4,000 for each adult and each dependent

⇒ Exemption = 4,000 * 5

⇒ Exemption = $20,000

Taxable Income = Gross Income - Standard Deduction - Itemized Deduction - Exemptions

⇒ Taxable Income = 47,400 - 12,600 - 14,200 - 20,000

⇒ Taxable Income = $600

Hence, their taxable income is $600

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What is true about anglemsr? it must be acute. it must be a right angle. it must be equal to anglemrh. it must be equal to angle
NARA [144]

From the given diagram <msr is a right angle (equal to 90 degrees) and <mrh is acute since it is less than 90degrees.

<h3>Properties ofa rhombus</h3>

The given diagram is a rhombus that has the following properties

  • Opposite side are equal
  • All the sides are congruent
  • The opposite angles are equal
  • The sum of the adjacent angles are supplementary

From the figure shown, we can see that;

<msr is a right angle (equal to 90 degrees)

<mrh is acute since it is less than 90degrees.

Learn more on rhombus here: brainly.com/question/88523

#SPJ1

7 0
2 years ago
Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long will it tak
aleksley [76]

.
Rates:
Ryan: 1 hole per 5 hours
Castel: 1 hole per 6 hours
.
Let x = time if working together
then
x(1/5 + 1/6) = 1
x(6 + 5) = 30
11x = 30
x = 30/11
x = 2.7273 hours
or
x = 2 hours and 44 minutes
3 0
3 years ago
Read 2 more answers
Jamey traveled 45 miles in 15 minutes. Find his average speed per minute for this situation.
Ad libitum [116K]

Answer:

3 miles per min

Step-by-step explanation:

3 miles x 15 (min) = 45 mph

8 0
3 years ago
Find the sum of the following infinite sequence: 8, 2, .5, …
lubasha [3.4K]
Answer:
10.67

Explanation:
The given series is a geometric series:
8 , 2 , 0.5 , ...... etc

The general formula of the geometric sequence is:
a1 , a1*r , a1*r² , ......

Comparing the general form with the given, we would find that:
a1 = 8
a1 * r = 2
Therefore:
8*r = 2
r = 2/8 = 0.25

We can double check using another term as follows:
a1 = 8
a1*r² = 0.5
8r² = 0.5
r² = 0.5/8 = 0.0625
r = √0.0625 = 0.25

Now, we will get the sum of the sequence as follows:
S = \frac{a1}{1 - r} = \frac{8}{1 - 0.25} = 32/3 = 10.67

Hope this helps :)
3 0
3 years ago
Solve the quadratic equation: 3x2 + x - 5 = 0
Yuri [45]

Hey there!

3x^2 + x -5 = 0

This equation is in standard form, which is ax^2+bx+c=0.

We are going to solve this with the quadratic equation, so we need to find the values for a, b, and c in the given equation. We can just look at it and identify the variables.

a = 3, b = 1, c = -5

Let's plug these values into the quadratic equation:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-1\pm\sqrt{1^2-4(3)(-5)} }{2(3)}

Multiply 4(3)(-5) together and multiply 2(3). Square 1.

x=\frac{-1\pm\sqrt{1+60} }{6}

Add 1 and 60.

x=\frac{-1\pm\sqrt{61} }{6}

This is our answer in exact form. If you need this as an approximate value, let me know and I will do that for you.

Hope this helps!

8 0
3 years ago
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