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.
Suppose that $71,000 is invested at 3 & a 1/2% interest, compounded quarterly.
a) Find the function for the amount to which the investment grows after t years.
b) Find the amount of money in the account at t=0, 4, 6, and 10 years.
The table gives the population of the United States, in millions, for the years 1900–2010. Use a graphing
calculator with exponential regression capability to model the US population since 1900. Use the model to
estimate the population in 1925 and to predict the population in the year 2020.
An investment grows according to the formula,where t is time, measured in months.
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