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Ganezh [65]
3 years ago
7

Rogue Industries reported the following items for the current​ year: Sales​ = $3,000,000; Cost of Goods Sold​ = $1,500,000; Depr

eciation Expense​ = $170,000; Administrative Expenses​ = $150,000; Interest Expense​ = $30,000; Marketing Expenses​ = $80,000; and Taxes​ = $300,000.​ Rogue's operating income is equal to
Mathematics
1 answer:
Nataly_w [17]3 years ago
7 0

Answer:

Rogue's operating income is $770000

Step-by-step explanation:

Given data

Sales​ = $3,000,000

Cost of Goods Sold​ = $1,500,000

Depreciation Expense​ = $170,000

Administrative Expenses​ = $150,000

Interest Expense​ = $30,000

Marketing Expenses​ = $80,000

Taxes​ = $300,000

to find out

operating income

solution

we find income by this formula that is given below

income = Sale - Cost of Goods Sold - Depreciation Expense - Administrative Expenses - Interest Expense -  Marketing Expenses - Taxes

so put now all these value to get the income      

income = 3,000,000 - 1,500,000 - 170,000 - 150,000 - 30,000 - 80,000 - 300,000

hence            

so  Rogue's operating income is $770000

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Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi
skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:    

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}

Solving the equation we get,

\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}

9\times 4=3\times n(n -1)

36=3\times n(n -1)

n^2-n-12=0

n^2-4n+3n-12=0

n(n-4)+3(n-4)=0

(n-4)(n+3)=0

n=4,-3

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

S=\frac{D}{T}

S_a=\frac{4\times 450}{9}

S_a=200 m/min

Brian completes 3 laps in that 9-minute time, so his rate is

S_b=\frac{3\times 450}{9}

S_b=150 m/min

Therefore, Alan: 200 m/min

Brian: 150 m/min

4 0
3 years ago
A circle is centered at (5, 4) and has radius 6. Write its equation in standard form.
dimulka [17.4K]
A circle equation is (x – h)^2<span> + (y – k)^</span>2<span> = r^</span><span>2 where (h,k) is the center and r is the radius. Now all we have to do is plug in the variables. 

Since (h,k)=(5,4) and r= 6

The answer would be C. 

Your welcome ;)





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8 0
3 years ago
Factor please <br> x^2+8x+15
Anastasy [175]

Answer:

(x + 3)(x + 5)

Step-by-step explanation:

The given expression is x^2 +8x + 15

Now find the factor of 15 such that when you add the factors, we have to get 8

The right factors of 15.

5 * 3 = 15

5 + 3 = 8

The right factors are 3 and 5.

x^2 + 8x + 15 = (x + 3)(x + 5)

Therefore, x^2 + 8x + 15 = (x + 3)(x + 5)

Thank you.

6 0
3 years ago
The mean age of 6 women in an office is 34 years old. The mean age of 8 men in an office is 34 years old. What is the mean age (
Volgvan

Step-by-step explanation:

204+272/14=34 years old

3 0
2 years ago
Slope -2/3, through (-1,-6) <br><br> What is the equation of the line?
Arturiano [62]

Answer:

Step-by-step explanation:

y + 6 = -2/3(x + 1)

y + 6= -2/3x - 2/3

y + 18/3 = -2/3x - 2/3

y = -2/3x - 20/3

8 0
3 years ago
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