The total revenues of consumer electronics since 2000 are ap

The total revenues of consumer electronics since 2000 are approximated by the function f (t) = 79.1 x 1.1^t (t>/3), where t = 3 corresponds to 2003 and f(t) is in billions of dollars. Find the revenue in the given years below.

(a) 2005

(b) 2007

(c) If the function remains accurate, what will the revenues be in 2012?

Round to two decimal places as needed

Solution

a)
here t = 5
f (t) = 79.1 * 1.1^t
f (5) = 79.1 * 1.1^5
= 79.1 * 1.61051
= 127.38 billion dollar

b)
here t = 7
f (t) = 79.1 * 1.1^t
f (7) = 79.1 * 1.1^7
= 79.1 * 1.9487
= 154.14 billion dollar

c)
here t = 12
f (t) = 79.1 * 1.1^t
f (12) = 79.1 * 1.1^12
= 79.1 * 3.13843
= 248.25 billion dollar