Cellphone Revenues The annual revenue for cellphone use in China for the period 2000–2005 was projected to follow the equation 60 R ( t ) = 14 t + 24 billon dollars inyear t . ( t = 0 represents2000.) At the same time, there were approximately 68 million subscribers in 2000. Assuming that the number of subscribers increases exponentially with an annual growth constant of 10%, give a formula for the annual revenue per subscriber in year t . Hence, project to the nearest dollar the annual revenue per subscriber and its rate of change in 2002. (Be careful with units!)
Cellphone Revenues The annual revenue for cellphone use in China for the period 2000–2005 was projected to follow the equation 60 R ( t ) = 14 t + 24 billon dollars inyear t . ( t = 0 represents2000.) At the same time, there were approximately 68 million subscribers in 2000. Assuming that the number of subscribers increases exponentially with an annual growth constant of 10%, give a formula for the annual revenue per subscriber in year t . Hence, project to the nearest dollar the annual revenue per subscriber and its rate of change in 2002. (Be careful with units!)
Solution Summary: The author calculates the formula for the annual revenue per subscriber in year t and the rate of change in 2002.
Cellphone Revenues The annual revenue for cellphone use in China for the period 2000–2005 was projected to follow the equation60
R
(
t
)
=
14
t
+
24
billon dollars
inyear t. (
t
=
0
represents2000.) At the same time, there were approximately 68 million subscribers in 2000. Assuming that the number of subscribers increases exponentially with an annual growth constant of 10%, give a formula for the annual revenue per subscriber in year t. Hence, project to the nearest dollar the annual revenue per subscriber and its rate of change in 2002. (Be careful with units!)
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.
The tuition in the school year 2012–2013 at a certain university was $15,000. For the school year 2017–2018, the tuition was $17,850. Find an exponential growth function for tuition T (in dollars) at this university t years after the 2012–2013 school year. (Round your values to four decimal places.)
T =
Assuming it increases at the same annual rate, use the function to predict the tuition (in dollars) in the 2021–2022 school year. (Round your answer to the nearest integer.)
$
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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY