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4 years ago

Where can the bisectors of the angles of an obtuse triangle intersect

Mathematics

1 answer:

irina1246 [14]4 years ago

4 0

OUTSIDE of the triangle.

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A restaurant averages ales of $120,000 when serving 20,000 guests. The restaurant's variable costs when 20,000 is $90,000. The c

Katarina [22]

Answer: Restaurant's monthly breakeven point in sales is $31333.

Step-by-step explanation:

Since we have given that

Number of guests = 20,000

Average sales = $120,000

Contribution margin per guest = $1.50

Let the number of sales be 'x'.

Cost per sales would be

$\dfrac{120000}{20000}\\\\=\$6$

Margin contributed by 2000 guests would be

$1.50\times 20000\\\\=\$3000$

So, Revenue function would be

$6x+3000$

Fixed monthly cost = $ 50,000

Variable cost for 20000 guests = $90000

So, Variable cost per sale would be

$\dfrac{90000}{20000}\\\\=\$4.5$

So, Cost function would be

$4.5x+50000$

Breakeven point would be

Cost function = Revenue function

$6x+3000=4.5x+50000\\\\6x-4.5x=50000-3000\\\\1.5x=47000\\\\x=\dfrac{47000}{1.5}\\\\x=\$31333.33\\\\x=\$31333$

Hence, Restaurant's monthly breakeven point in sales is $31333.

3 0

4 years ago

I need help with 34. Please help if you can. Thank you !

shtirl [24]

Answer:

7200 people

Step-by-step explanation:

Let's say x amount of people tried out.

After round 1: 1/2 x are left.

After round 2: 1/3 (1/2 x) are left

After round 3: 1/4 (1/3(1/2 x))) are left

Each time we multiply by the fraction that are left. By the end we will have

1/6(1/5(1/4(1/3(1/2 x))))

So to find it multiply the denominator out:

$\frac{1}{6}*\frac{1}{5}*\frac{1}{4}*\frac{1}{3}*\frac{1}{2} x\\\\\\\frac{1}{6*5*4*3*2}x\\\\\frac{1}{720}x$

To find x, we set it equal to 10.

$\frac{1}{720}x =10\\x= 10*720\\x=7200$

7 0

3 years ago

Hewp:(

stira [4]

Answer:

210

Step-by-step explanation:

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Answer:

Horizontal

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