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vladimir1956 [14]
3 years ago
5

5/7+(-1/3)-(-1/2) Show work pls

Mathematics
1 answer:
ELEN [110]3 years ago
7 0
30/42-14/42+21/42= 37/42
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A hockey team plays in an arena with a seating capacity of 15,000 spectators. With the ticket price set at , average attendance
Goshia [24]

Answer:

Ticket price 11,5 $  

R(max)  =  132750 $

Step-by-step explanation:INCOMPLETE QUESTION

The ticket price is missing

We will assume 12 $

Let call x the decreasing number of the ticket price

The revenue is

R =  ticket price * numbers of spectator

R(x) =  (  12 - x ) *  ( 11000 + 1000*x )   for all   0 ≤ x  ≤ 4   ( the seating capacity is 15000 )

R(x) =  132000 + 12000*x  - 11000*x - 1000*x²

R(x) =  132000 + 1000*x  - 1000*x²

Taking derivatives on both sides of the equatio we get:

R´(x)  =  1000  -  2000x

R´(x)  = 0    ⇒    1000  -  2000x  =  0

x  =  1000/2000    ⇒  x = 0,5 $

We notice that R´´(x)  < 0    then we have a maximum for  x = 0,5

and the price is 12 - 0,5  = 11,5 $ for ticket

and the R(max) is

R(max) = 132000 + 1000*0,5  + 1000* (0,5)²

R(max) = 132000 + 500 + 250

R(max) = 132750 $

7 0
3 years ago
Susan Marciano invested part of her $37,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered
Bad White [126]

Answer:

The amount invested in funds that earned 12% profit is 31000

The amount invested in stock that suffered 5% loss is 6,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 12%.

Then the amount invested in stock that suffered 5% loss is 37000 - x.

The profit from investment in funds is = 12% of x

                                                               = 0.12·x

The loss from investment in stock is = 5% of (37000 - x)

                                                            = 0.05 × (37000 - x)

The net profit is 0.12·x - 0.05 × (37000 - x)

As the net profit given in the problem is $3420, we have :

0.12·x - 0.05 × (37000 - x) = 3420

Solving for x, we have :

12·x - 5 × (37000 - x) = 342000 (multiply both sides by 100)

12·x - 185000 + 5·x = 342000

17·x = 527000

⇒ x = 31000

Hence, The amount invested in funds that earned 12% profit is 31000 and the amount invested in stock that suffered 5% loss is 37000 - x = 37000 - 31000 = 6,000.

6 0
3 years ago
4(1-x)+2x=-3(x+1 solve for x
ipn [44]

Answer:

3x

Step-by-step explanation:

6 0
3 years ago
A random sample of 500 reports an average yearly income of $42,000 with a standard deviation of $1000. An estimate of the parame
Lorico [155]

Answer:

E

Step-by-step explanation:

Confidence Interval = mean + or - error margin

Mean = 42,000, error margin = width of estimate of the parameter ÷ 2 = 175 ÷ 2 = 87.50

We can be 95% confident that the population mean is 42,000 plus or minus 87.50

8 0
3 years ago
Simplify 3x + 2 (9-5) <br><br>please help....
viktelen [127]
3x+8 
i am pretty sure about that
3 0
3 years ago
Read 2 more answers
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