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mrs_skeptik [129]
3 years ago
13

The first and second year’s sales for a company were $328,000 and $565,000. The expenses for the first year were $117,000. The c

ompany had a net profit of $113,000 after two years.
What were the company's expenses for the second year?



A.
$230,000


B.
$354,000


C.
$663,000


D.
$776,000
Mathematics
1 answer:
Serhud [2]3 years ago
6 0
As a disclaimer, I can't say I'm completely confident in this answer. Use at own risk.

Formulas:

Year 1: 328,000 (sales) - 117,000 (expense) = 211,000 (profit)

Year 2: 565,000 (sales) - x (expense) = y (profit)

Net Profit: 211,000 + y = 113,000

Math

211,000 (profit y1) + 565,000 (sales y2) = 776,000

776,000 - 113,000 (net profit) = -663,000 (expenses)

Confirm:

Net Profit: 211,000 + y = 113,000 (listed in formulas, just a reminder)

Plug in: 565,000 (y2 sales) - 663,000 (our solution) = -98,000

211,000 (y1 net) + -98,000 (our plug in) = 113,000 (2 year net profit given to us)
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Jorge gives an equal number of marbles to 6 friends. Which could be the total number of marbles he gave to his friends? (Answer
ladessa [460]

Answer:

D. 60

Step-by-step explanation:

Since the question stated that the number of marbles given out to his 6 friends were equal, we are certain that the total number of marbles is a factor or multiple of 6.

The only other assumption here is the number of marbles given has to be whole number. This means we just have to go through the answer choices and pick the one that is a multiple of 6.

A. 15 - This is wrong as 15 is not a multiple of 6.

B. 33 - This is wrong as 33 is not a multiple of 6.

C. 56 - This is wrong as 56 is not a multiple of 6.

D. 60 - This is CORRECT as 60 is a multiple of 6.

If Jorge gives each of his friends 10 marbles each, it would bring the total number of marbles to be 60.

6 0
3 years ago
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What is the approximate distance between the points (1,-2) and (-9,3) on a coordinate grid
jeka57 [31]

<u>Answer</u>

5\sqrt{5} ≈ 11.1803398874989485


<u>Detailed Explanation </u>


We will be using the distance formula for this problem


\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}


Now, let's input the numbers into the formula.


\sqrt{\left(-9-1\right)^2+\left(3-\left(-2\right)\right)^2}


Solve.


Therefore, the distance between the two points is

5\sqrt{5} ≈ 11.1803398874989485

3 0
3 years ago
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Part 3: Write the equation of and graph an ellipse.
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

The center is halfway between vertices, at (4, -6).

It is also halfway between foci.

:::::

The vertices are vertically aligned, so the parabola is vertical.

General equation for a vertical ellipse:

 (y-k)²/a² + (x-h)²/b² = 1

with

 center (h,k)

 vertices (h,k±a)

 co-vertices (h±b,k)

 foci (h,k±c), c² = a²-b²

Apply your data and solve for h, k, a, and b.

center (h,k) = (4, -6)

h = 4

k = -6

vertices (4,-6±a) = (4,-6±9)

a = 9

foci (4,-6±c) = (4,-6±5√2)

b² = a² - c² = 9² - (5√2)² = 31

b = √31

The equation becomes

 (y+6)²/81 + (x-4)²/31 = 1

:::::

length of major axis = 2a = 18

length of minor axis = 2b = 2√31

8 0
3 years ago
You work for a landscaping company and will be installing a fence around a customer’s yard. The yard is rectangular and is 45 fe
MrMuchimi

Answer:

250ft

Step-by-step explanation:

45ft + 45ft of fencing for the two short ends. 80ft +80ft for the two long sides

45ft+45ft=90ft

80ft+80ft=160ft

90ft+160ft=250ft

8 0
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A bag of marbles has 6 red marbles and 7 green marbles in it. What is the percent probability of pulling a green marble out of t
soldi70 [24.7K]

Answer:

If a bag contains 4 red marbles, 3 blue marbles, and 7 green marbles and a marble is randomly selected from the bag, what is the probability that it is blue? P=3/(3+4+7)=3/14 because each of 14 marbles is equally likely to be drawn.

Step-by-step explanation:

7 0
3 years ago
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