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Ahat [919]
1 year ago
7

Ephemeral services corporation (esco) knows that nine other companies besides esco are bidding for a $900,000 government contrac

t. each company has an equal chance of being awarded the contract. if esco has already spent $100,000 in developing its bidding proposal, what is its expected net profit?
a. $10,000

b. $0

c. $100,000

d. $90,000
Mathematics
1 answer:
EastWind [94]1 year ago
4 0

Answer:

c. $100,000

Step-by-step explanation:

Calculation of the expected net profit of Ephemeral services corporation

Since we are been told that 9 other companies besides esco are as well bidding for the $900,000 government contract, it means we have to find the expected net profit by dividing 1 by 9×$900,000 .Thus ESCO can only expect to cover its sunk cost.

Hence ,

E(X) = (1/9) × $900,000

E(X)=0.111111111×$900,000

E(X)= $100,000

Therefore the expected net profit would be $100,000

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Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u
Naddika [18.5K]

Answer with Step-by-step explanation:

We are given that Laplace's equation

u_{xx}+u_{yy}=0

We have to determine given function is  solution of given laplace's equation.

If a  function is solution of given Laplace's  equation then  it satisfy the solution.

1.u=e^{-x}cosy-e^{-y}cosx

Differentiate w.r.t x

Then, we get

u_x=-e^{-x}cosy+e^{-y}sinx

Again differentiate w.r.t x

u_{xx}=e^{-x}cosy+e^{-y}cosx

Now differentiate u w.r.t y

u_y=-e^{-x}siny+e^{-y}cosx

Again differentiate w.r.t y

u_{yy}=-e^{-x}cosy-e^{-y}cosx

Substitute the values in given Laplace's equation

e^{-x}cosy+e^{-y}cosx-e^{-x}cosy-e^{-y}cosx=0

Hence, given function is a solution of given Laplace's equation.

2.u=sinx coshy+cosx sinhy

Differentiate w.r.t x

u_x=cosx coshy-sinx sinhy

Again differentiate w.r.t x

u_{xx}=-sin x coshy-cosxsinhy

Now, differentiate u w.r.t y

u_y=sinx sinhy+cosx coshy

Again differentiate w.r.t y

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4 0
1 year ago
You are signing up for a new gym on New Year's Day. Two gyms memberships have different payment plans. Gym A has a $60 signup fe
Romashka-Z-Leto [24]

Answer: August or the 8th month

Step-by-step explanation:

Assuming the month that the costs will be the same is x.

Gym A cost function will be = 60 + 10x

Gym B cost function will be =  20 + 15x

The formula will therefore be;

60 + 10x = 20 + 15x

60 - 20 = 15x - 10x

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8th month is August.

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1 year ago
Sean pays £10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each.
VladimirAG [237]

Answer:

the percentage profit is 20%

Step-by-step explanation:

Given that

Sean paid  £10 for 24 chocolate bars

He sold all 24 chocolate bars for 50p each

we need to find out the percentage profit

Since he paid  £10 and sale value is (24 × 0.50) i.e. £12

So, the percentage profit is

= (£12 - £10) ÷ (£10)

= 20%

Hence, the percentage profit is 20%

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1 year ago
12. A cyclist travels 40 km at a speed of x km/h. Find the time
GREYUIT [131]

Answer:

Step-by-step explanation:

distance = rate times time, so

           

           distance

time = --------------

               rate

Here the distance is 40 km and the rate is x.  Then

              40 km

time = --------------  =  (40/x) hr

             x km/hr

If the speed is reduced by 2 km/hr, we get:

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time = -------------------------------  or time = ----------------------- = --------- hr

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The difference between the times is:

 40          40

-------- - --------- = 1 hr          Solve this for the original speed, x

x - 2         x

40x - 40x + 80                                80

-----------------------  =  1 hr     or     ------------ = 1     or 80 = x^2 - 2x

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Rewriting this in standard quadratic form:  x^2 - 2x - 80 = 0

Here a = 1, b = -2 and c = -80, and so the discriminant b^2 - 4ac is:

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The solutions are:

   

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              2                      2

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