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AnnyKZ [126]
2 years ago
14

The latest demand equation for your gaming website, www.mudbeast.net, is given by

Mathematics
1 answer:
horrorfan [7]2 years ago
7 0

Answer:

C(x) =  $850 - $350x

Monthly Profit =   -500x² + 1550x - 850

x = $1.55

the largest possible monthly profit  = $351.25

Step-by-step explanation:

Given:

Demand equation:

q = -500x + 1200

where, q is the number of users who log on per month

x is the log-on fee you charge

Site maintenance fee =  $10 per month

High-volume access fee =  $0.70 per log-on

Now,

C(x) = $10 + ( $0.70 × q )

or

C(x) = $10 + ( $0.70 × (-500x + 1200) )

or

C(x) = $10 + ( - $350x + 840 )

or

C(x) =  $850 - $350x

Total monthly income = qx

or

Total monthly income = ( -500x + 1200 ) × x

or

Total monthly income = -500x² + 1200x

now,

Profit = Income - cost

or

Monthly Profit =   -500x² + 1200x - ( 850 - 350x )

or

Monthly Profit, P(x) =   -500x² + 1550x - 850

For the largest possible monthly profit

\frac{d\textup{P(x)}}{\textup{dx}} = 0

or

\frac{d(-500x^2+1550x-850)}{\textup{dx}} =0

or

-2 × 500x + 1550 = 0

or

-1000x + 850 = 0

or

x = $1.55

Now,

the largest possible monthly profit will be at x = $1.55

substitute in the function of profit

P(1.55) =   ( -500× 1.55² ) + ( 1550 × 1.55 ) - 850

or

the largest possible monthly profit = - 1201.25 + 2402.5 - 850

or

the largest possible monthly profit  = $351.25

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Step-by-step explanation:

Austin is represented as variable a, and you have 15 more cards.

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2 years ago
A church rings its bells every 15 minutes, the school rings its bells every 20 minutes and the day care center rings its bells e
ankoles [38]

Answer:

As few as just over 345 minutes (23×15) or as many as just under 375 minutes (25×15).

Imagine a simpler problem: the bell has rung just two times since Ms. Johnson went into her office. How long has Ms. Johnson been in her office? It could be almost as short as just 15 minutes (1×15), if Ms. Johnson went into her office just before the bell rang the first time, and the bell has just rung again for the second time.

Or it could be almost as long as 45 minutes (3×15), if Ms. Johnson went into her office just after the bells rang, and then 15 minutes later the bells rang for the first time, and then 15 minutes after that the bells rang for the second time, and now it’s been 15 minutes after that.

So if the bells have run two times since Ms. Johnson went into her office, she could have been there between 15 minutes and 45 minutes. The same logic applies to the case where the bells have rung 24 times—it could have been any duration between 345 and 375 minutes since the moment we started paying attention to the bells!

Step-by-step explanation:

7 0
3 years ago
Solve for x.<br> I was sure the answer was 2?<br> Please show me the breakdown. THX
Murljashka [212]

Answer:

x = 8 and y = 10

Step-by-step explanation:

Since the figures are congruent:

Angle PQR = EFG

6y + x = 68

Segment QR = FG

2x - 4 = 12

Solving that:

2x - 4 = 12

2x = 16

x = 8

Replacing x in 6y + x =68

6y + 8 = 68

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y = 10

7 0
3 years ago
The table shows ordered pairs of the function y = 16 0. 5x. A 2-column table with 6 rows. The first column is labeled x with ent
zvonat [6]

Option 3 is the correct answer. The missing values of (x, y) is (8, 20).

<h3>How do you find out the values?</h3>

Given that the function is,

y = 16 + 0.5x

The function is a linear equation that can be solved graphically. The values of both variables x and y can be found on different points along with the straight-line graph.

Also, for every value of x, there is a corresponding value of y.

For the given options, we put the values of x to find the corresponding value of y.

For option 1, put x = 0 in the given function,

y = 16 + 0.5\times 0\\y = 16

But for x=0, y= 18, hence option 1 is not correct.

For option 2, put x = 5 in the given function,

y = 16 + 0.5\times 5\\y = 18.5

But for x=5, y= 19.5, hence option 2 is not correct.

For option 3, put x = 8 in the given function,

y = 16 + 0.5\times 8\\y = 20

But for x=8, y= 20, hence option 3 is the correct answer.

Hence we can conclude that option 3 is the correct answer. The missing values of (x, y) is (8, 20).

To know more about the function, follow the link given below.

brainly.com/question/5245372.

7 0
2 years ago
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lyudmila [28]

Answer:

The letter "i" is used to signify that a number is an imaginary number.

Step-by-step explanation:

An imaginary number is one that gives a negative result when squared. This differs from when you square real numbers where you always get a positive result. For example:

i = √-1

Imaginary numbers can be especially useful when trying to find the square root of a real negative number such as -16. Normally we cannot find the square root of -16 but through the use of imaginary numbers we can:

√-16 = 4i

~Hope this helps!~

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