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Ket [755]
3 years ago
11

If the population of a country is growing at a rate of 2.2% compounded

Mathematics
1 answer:
Stells [14]3 years ago
4 0
It will take 31.9 years.

The general form of this equation is

y = a(1+r)ˣ, where y is the total population, a is the initial population, r is the growth rate as a decimal number, and x is the amount of time.  For our problem, we have

120000 = 60000(1+0.022)ˣ

[The 120,000 is because we are doubling the 60,000 population]

Dividing both sides by 60,000,

120000/60000 = 60000(1+0.022)ˣ/60000
2 = 1.022ˣ

Using logarithms to solve this, we have
log_{1.022}2=x
\\
\\31.85=x
\\
\\31.9\approx x
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