Complete the following table. Population Growth​ Rate, k Doubling​ Time

Question

Complete the following table.

Population	Growth​ Rate, k	Doubling​ Time, T
Country A	1.4​%	per year
Country B		36	years

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Part 1

Population	Growth​ Rate, k	Doubling​ Time, T
Country A	1.4​%	per year	enter your response here	years
Country B	enter your response here​%	per year	36	years

Answer 1

A=Pe^rt where P =starting population at time t=0, t=years, r= interest rate, e =about 2.71828

same formula as for continuously compound interest on a bank loan or deposit

2 = e^.014t

ln2 = .014t

t = ln2/.014 = about 49.5 years for Country A's doubling time

2=e^36r

ln2 = 36r

r = ln2/36 = about 1.9% rounded off to nearest tenth of percent, for Country B's annual growth rate