Find the smallest value of N that will make the inequality hold for all n N.
-A company's annual revenue for the period since 2000 can be modeled by the function Rn = 2.11(1.06)n, where R is in millions of dollars and n = 0 corresponds to 2000. Assuming the model accurately predicts future
Revenue, find the year in which the revenue first exceeds $3.10 million.
A) 2007
B) 2009
C) 2006
D) 2005

Question

Find the smallest value of N that will make the inequality hold for all n > N.
-A company's annual revenue for the period since 2000 can be modeled by the function Rn = 2.11(1.06)n, where R is in millions of dollars and n = 0 corresponds to 2000. Assuming the model accurately predicts future
Revenue, find the year in which the revenue first exceeds $3.10 million.
A) 2007
B) 2009
C) 2006
D) 2005

Quizplus · Accepted Answer

To find when the revenue first exceeds $3.10 million, solve 2.11(1.06)^n > 3.10. Solving this inequality gives n ≈ 6. Therefore, the year is 2006 (2000 + 6).

Find the Smallest Value of N That Will Make the Inequality