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NeTakaya
3 years ago
8

Amanda runs a consultancy firm. For a given year, her income from services was $30,700. Direct expenses incurred by her for the

year were $10,500. Other operating expenses amounted to $500. What was the net profit that Amanda earned for the year?
A. $ 20,700
B. $ 20, 200
C. $ 19,700
D. $ 30, 200
Mathematics
2 answers:
defon3 years ago
8 0
The answer is C 
30700-10500-500=19700 thats how much she walks away with. 
Also can i have brainliest answer if i am correct which i believe i am. 
melisa1 [442]3 years ago
5 0

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Total income from services = $30,700

Direct expenses incurred by her = $10,500

Operating expenses incurred by her = $500

We need to find the net profit.

Since we know that direct expenses and operating expenses are the expenditures which should be deducted from her income.

So, Net profit = Income - Direct Expenses - Operating Expenses

Net\ profit=\$30,700-\$10,500-\$500\\\\Net\ profit=\$19,700

Hence, Option 'C' is correct.

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△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.
Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF      ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF   ...................CPCTC

Substituting the values we get

4x-2=x^{2}-7\\x^{2}-4x-5=0

Now By Factorizing we get

x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5

Therefore the value of x is 5.

8 0
3 years ago
A restaurant is preparing for a large barbeque cook out. The restaurant is planning to cook briskets that are 5 lb each and hamb
SVEN [57.7K]

The inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150

Given:

pounds of brisket = 5 lb

Pounds of hamburger = 0.25 lb

Total pounds of briskets and hamburgers = no more than 150 lb

number of hamburgers = x

number of briskets = y

No more than in inequality = (≤)

The inequality:

5y + 0.25x ≤ 150

Therefore, inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150

Learn more about inequality:

brainly.com/question/18881247

7 0
2 years ago
What is the equation of the axis of symmetry for the parabola y equals negative start fraction one over two end fraction left pa
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For the equation,
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7 0
3 years ago
Read 2 more answers
An isosceles triangle has sides of length x, x, and y. in addition, assume the triangle has perimeter 24. (a) find the rule for
ser-zykov [4K]

Answer:

  A(x) = (24 -2x)√(6(x -6))

Step-by-step explanation:

Heron's formula for the area of a triangle in terms of sides a, b, and c is ...

  A = √(s(s -a)(s -b)(s -c))

where s is the semi-perimeter.

Here, we have s = 24/2 = 12, and a = b = x, c = 24-2x. So, the area is ...

  A = √(12(12 -x)(12 -x)(12 -(24 -2x)) = (12 -x)√(12(2x -12))

  A = 2(12 -x)√(6(x -6))

8 0
3 years ago
4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)
koban [17]

Answer:

x = -223/11 = -20.273

Step-by-step explanation:

Step  1  : Simplify:  11/5

Step 2: Simplify 33/5

Step  3  :

Adding fractions which have a common denominator

Step  4: Simplify: 1/2

Step  5  :  see below

Step  6  :  see below

Pulling out like terms/factors

Step  7 : Simplify: 51/2

Step 8:  Simplify: 22/5

Step 10: Simplify: 43/10

Step  9  :

Calculating the Least Common Multiple

Step  11  :

Adding fractions which have a common denominator

Done.

Hope this helps.

7 0
3 years ago
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