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5. The rate of change in revenue for the Priceline Group from 2004 to 2013 can be modeled

by x = 0.07e0.2387t, where R is the revenue (in billions of dollars) and t is the time in

years), with t=4 corresponding to 2004. In 2013, the revenue for the Priceline Group was

$6.8 billion.

a. Find a model for the revenue of the Priceline Group

b. Find the revenue of the Priceline Group in 2012.

Respuesta :

Answer:

a ) R(x)  = 0,2933*e∧0,2387*t

b) 5,9042 billions of dollars

Step-by-step explanation:

The rate of change in revenue  dR/dt for Priceline Group is

dR/dt =  0,07*e∧0,2387*t

dR = (0,07*e∧0,2387*t ) * dt

∫dR = ∫ (0,07*e∧0,2387*t ) * dt       between 2004  to 2013   ( t = 4 stands for 2004 and t = 13 stands for 2013 )

R(x)  =  (0,07/ 0,2387)*e∧0,2387*t )

R(x)  = 0,2933*e∧0,2387*t

Then

R(4)  = 0,2933*e∧0,2387*4

R(4) =  0,2933*2,5981

R(4) =  0,7602 billions of dollars

R(12)  = R(4) +   0,2933*e∧0,2387*12

R(12)  = 0,7602 +  5,1440

R(12)  =  5,9042 billions of dollars

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