Kushner & Company is an architectural firm specializing in home remodeling for private clients and new office buildings for corporate clients. Kushner charges customers at a billing rate equal to 130% of the client's total job cost. A client's total job cost is a combination of (1) professional time spent on the client ($ 63 per hour cost of employing each professional) and (2) operating overhead allocated to the client's job. Kushner allocates operating overhead to jobs based on professional hours spent on the job. Kushner estimates its five professionals will incur a total of 10,000 professional hours working on client jobs during the year

the question is incomplete so I looked for a similar question:

Besides the missing information, we are told that Li's job required 25 professional hours, 125 miles of travelling, 4 blueprint copies, and 15 secretarial hours.

total overhead = $233,000

total professional hours = 10,000

cost of Li's job:

professional hours = 25 x $63 = $1,575

allocated overhead = 25 x $23.30 = $582.50

total = $2,157.50

if they used ABC costing, then allocation rates would be:

if ABC costing was used, the cost of Li's job would have been:

professional hours = 25 x $63 = $1,575

125 miles x $0.40 = $50

4 blueprint copies x $32 = $128

15 secretarial hour x $39 = $585

total cost = $2,338

ABC costing is more exact, and therefore, it is more fair to customers (and the company also) since customers are charged based on what the company really spent on serving them.  

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15