The table below is constructed based on the entire senior class's gender and eye color. Using this table, find P(not gray).

Hillary is planning an expensive surprise party. She is choosing between two venues. The banquet hall at Hotel A will cost $431

In-s [12.5K]

Answer: Hillary would have to invite 15 people before the cost of having the party at Hotel B is less than the cost of having a party at Hotel A

Step-by-step explanation:

Let x represent the number of guests that Hillary would invite.

The banquet hall at Hotel A will cost $431 to rent the room and $38 per guest. This means that the total cost of hosting x guests at hotel A is

38x + 431

The banquet hall at Hotel B will cost $747 to rent the room and $16 per guest. This means that the total cost of hosting x guests at hotel B is

16x + 747

For the cost of having the party at Hotel B to be less than the cost of having a party at Hotel A, it means that

16x + 747 < 38x + 431

747 - 431 < 38x - 16x

316 < 22x

22x > 316

x > 316/22

x > 14.36

6 0

3 years ago

Please find the derivative of <img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Be%5E%7B%5Cfrac%7B3%7D%7Bx%7D%7D%7D%7

sesenic [268]

Hello! :)

$\large\boxed{\frac{-e^{\frac{3}{x}} (3 + 2x )}{x^{4}}}$

Find the derivative using the quotient rule:

$\frac{f(x)}{g(x)} = \frac{g(x) * f'(x) - f(x) * g'(x)}{(g(x))^{2}}$

In this instance:

$f(x) = e^{\frac{3}{x} }\\\\g(x) = x^{2}$

Use the following properties to find the derivative of f(x) and g(x):

$e^{u} = u' * e^{u}\\\\x^{n} = nx^{n-1}$

Use the quotient rule:

$\frac{x^{2} * (e^{\frac{3}{x}} * (-3x^{-2})) - e^{\frac{3}{x}} * 2x }{(x^{2} )^{2}}$

Simplify the numerator:

$\frac{(e^{\frac{3}{x}} * (-3)) - e^{\frac{3}{x}} * 2x }{(x^{2} )^{2}}$

Factor out $e^{\frac{3}{x}}$

$\frac{e^{\frac{3}{x}} (-3 - 2x )}{x^{4}}$

Factor out -1 from the numerator:

$\frac{-e^{\frac{3}{x}} (3 + 2x )}{x^{4}}$

And we're done! Thanks for posting the question to my 1000th answer!

7 0

3 years ago

Read 2 more answers

URGENT NEED HELP

Gelneren [198K]

Emma:

Number of hours = 4

Total cost = 18

Where x is the cost per hour n and y is the flat fee

18 = 4x + y

Louise:

number of hours = 7

total cost = 25.50

25.50 = 7x + y

We have the system of equation:

18 = 4x + y

25.50 = 7x + y

Solve the first equation for y

18-4x = y

y = 18-4x

Replace y on the second equation; and solve for x

25.50 = 7x + (18-4x)

25.50 = 7x + 18 -4x

25.50 = 3x + 18

25.50 - 18 = 3x

7.5 = 3x

7.5/3 = x

2.5 = x

a. Cost per hour = $2.5

Now, replace x on any equation and solve for y

18 = 4x + y

18 = 4 (2.5) + y

18 = 10 +y

18 - 10 = y

8 = y

b. Flat fee = $8

c. Use the equation:

Cost = flat fee + cost per hourx (number of hour)

Cost = 8 + 2.5 (2)

Cost = 8 + 5 = $13

5 0

3 years ago

n a newspaper, it was reported that yearly robberies in Springfield were down 20% to 176 in 2011 from 2010. How many robberies w

Ede4ka [16]

Answer: There were 220 robberies in Springfield in 2010

Step-by-step explanation: If the robberies were reported to be down 20% and the new figure is 176, it simply means the figure 176 depicts 80% (or 0.8) of the figure from year 2010.

We shall take the figure in year 2010 as x, which is 100% (or 1.0) and year 2011 is 176 which is 80% (or 0.8). What we now have is;

176/x = 0.8

176/x = 4/5

By cross multiplication we now have;

(176 x 5)/4 = x

880/4 = x

220 = x

Therefore, there were 220 robberies in Springfield in 2010

3 0

3 years ago

Read 2 more answers

Can someone please help me asap?? I’ll mark brainlist !!

nexus9112 [7]

Answer:

It's the same price.

Step-by-step explanation:

20% of $200 is $40. Either way, you get $40 off.

7 0

3 years ago

The table below is constructed based on the entire senior class's gender and eye color. Using this table, find P(not gray).​

The table below is constructed based on the entire senior class's gender and eye color. Using this table, find P(not gray).