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The use of iPods has increased in popularity. In 2001, there were 20 million people who used one. Assuming the use of iPods increases 10% annually, predict the number of people using an iPod in 2009.

2007-12-17 05:41:17 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

6 answers

It depends on whether you mean an exponential growth or a linear growth.

EXPONENTIAL GROWTH:

2001 --> 20 million
2002 --> 20 million x 1.10
2003 --> 20 million x (1.10)²
2004 --> 20 million x (1.10)^3
...
2009 --> 20 million x (1.10)^8

Answer is approximately:
42,871,776

LINEAR GROWTH:
2001 --> 20 million
2002 --> 20 million + 2 million (10%)
2003 --> 20 million + 2*(2 million)
2004 --> 20 million + 3*(2 million)
...
2009 --> 20 million + 8*(2 million)

Answer:
36 million

2007-12-17 05:44:45 · answer #1 · answered by Puzzling 7 · 2 0

A = Pe^(rt), where
P = 20 million
r = 10% = 0.1
t = 2009 - 2001 = 8 years

So
A = 49.19206... million people

2007-12-17 05:48:22 · answer #2 · answered by KG06 3 · 0 0

x 20
- -
20 100 x100=x400

x=4

40 million people will be having an iPod

2007-12-17 05:45:17 · answer #3 · answered by Anonymous · 0 0

N = P(1 + i)^n, where N = number of people using iPod in 2009,
P = 20M, i = 0.10, n = 8 (2009 - 2001 = 8).

Solution:
N = 20(1+ 0.01)^8
N = 20(1.01)^8
N = 21.66 M ANS


teddy boy

2007-12-17 06:01:44 · answer #4 · answered by teddy boy 6 · 0 1

2001: 20 million
2002: 20 million*(1.1)
2003: 20 million*(1.1)^2
2004: 20 million*(1.1)^3
........................
2008: 20 million*(1.1)^7
2009: 20 million*(1.1)^8

I hope you understand what i'm going to say

2007-12-17 05:50:26 · answer #5 · answered by Vlad N 2 · 0 0

If it simple why are you asking for answers??

2007-12-17 05:45:45 · answer #6 · answered by Rick T 4 · 0 0

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