time (t) Consider the above linear function which shows a straight line representation of the growth function Y, = Y,(1 + G)t where: Y = income at timet Yo = income at time 0 G is the growth rate The value at A is log 10100, and the numerical value of the gradient is 0.012 [Hint: this numerical value of the gradient is derived from the log value.] (a) How should the vertical axis be labelled? (b) Find the value of Yo. (c) Find the growth rate, G (giving G as a percentage value to 1 decimal place)

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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12.
time (t)
Consider the above linear function which shows a straight line representation of the growth function Y, = Yo(1 + G)t
where:
Y, = income at time t
Yo = income at time 0
G is the growth rate
The value at A is log10100, and the numerical value of the gradient is 0.012
[Hint: this numerical value of the gradient is derived from the log value.]
(a) How should the vertical axis be labelled?
(b) Find the value of Y.
(c) Find the growth rate, G (giving G as a percentage value to 1 decimal place)
Transcribed Image Text:12. time (t) Consider the above linear function which shows a straight line representation of the growth function Y, = Yo(1 + G)t where: Y, = income at time t Yo = income at time 0 G is the growth rate The value at A is log10100, and the numerical value of the gradient is 0.012 [Hint: this numerical value of the gradient is derived from the log value.] (a) How should the vertical axis be labelled? (b) Find the value of Y. (c) Find the growth rate, G (giving G as a percentage value to 1 decimal place)
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