Cellphone Revenues The number of cellphone subscribers in China for the period 2000–2005 was projected to follow the equation N ( t ) = 39 t + 68 millon subscribers inyear t. ( t = 0 represents2000.) The average annual revenue per cellphone user was $350 in 2000. Assuming that, because of competition, the revenue per cellphone user decreases exponentially with an annual decay constant of 10%, give a formula for the annual revenue in year t . Hence, project the annual revenue and its rate of change in 2002. Round all answers to the nearest billion dollars or billion dollars per year.
Cellphone Revenues The number of cellphone subscribers in China for the period 2000–2005 was projected to follow the equation N ( t ) = 39 t + 68 millon subscribers inyear t. ( t = 0 represents2000.) The average annual revenue per cellphone user was $350 in 2000. Assuming that, because of competition, the revenue per cellphone user decreases exponentially with an annual decay constant of 10%, give a formula for the annual revenue in year t . Hence, project the annual revenue and its rate of change in 2002. Round all answers to the nearest billion dollars or billion dollars per year.
Solution Summary: The author calculates the formula for the annual revenue in year t based on the number of cellphone subscribers in China.
Cellphone Revenues The number of cellphone subscribers in China for the period 2000–2005 was projected to follow the equation
N
(
t
)
=
39
t
+
68
millon subscribers
inyear t. (
t
=
0
represents2000.) The average annual revenue per cellphone user was $350 in 2000. Assuming that, because of competition, the revenue per cellphone user decreases exponentially with an annual decay constant of 10%, give a formula for the annual revenue in year t. Hence, project the annual revenue and its rate of change in 2002. Round all answers to the nearest billion dollars or billion dollars per year.
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