<Li> c = initial number of objects </Li> <Li> t = time </Li> <Table> Doubling times T given constant r% growth <Tr> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 0.1 </Td> <Td> 693.49 </Td> </Tr> <Tr> <Td> 0.2 </Td> <Td> 346.92 </Td> </Tr> <Tr> <Td> 0.3 </Td> <Td> 231.40 </Td> </Tr> <Tr> <Td> 0.4 </Td> <Td> 173.63 </Td> </Tr> <Tr> <Td> 0.5 </Td> <Td> 138.98 </Td> </Tr> <Tr> <Td> 0.6 </Td> <Td> 115.87 </Td> </Tr> <Tr> <Td> 0.7 </Td> <Td> 99.36 </Td> </Tr> <Tr> <Td> 0.8 </Td> <Td> 86.99 </Td> </Tr> <Tr> <Td> 0.9 </Td> <Td> 77.36 </Td> </Tr> <Tr> <Td> 1.0 </Td> <Td> 69.66 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 1.1 </Td> <Td> 63.36 </Td> </Tr> <Tr> <Td> 1.2 </Td> <Td> 58.11 </Td> </Tr> <Tr> <Td> 1.3 </Td> <Td> 53.66 </Td> </Tr> <Tr> <Td> 1.4 </Td> <Td> 49.86 </Td> </Tr> <Tr> <Td> 1.5 </Td> <Td> 46.56 </Td> </Tr> <Tr> <Td> 1.6 </Td> <Td> 43.67 </Td> </Tr> <Tr> <Td> 1.7 </Td> <Td> 41.12 </Td> </Tr> <Tr> <Td> 1.8 </Td> <Td> 38.85 </Td> </Tr> <Tr> <Td> 1.9 </Td> <Td> 36.83 </Td> </Tr> <Tr> <Td> 2.0 </Td> <Td> 35.00 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 2.1 </Td> <Td> 33.35 </Td> </Tr> <Tr> <Td> 2.2 </Td> <Td> 31.85 </Td> </Tr> <Tr> <Td> 2.3 </Td> <Td> 30.48 </Td> </Tr> <Tr> <Td> 2.4 </Td> <Td> 29.23 </Td> </Tr> <Tr> <Td> 2.5 </Td> <Td> 28.07 </Td> </Tr> <Tr> <Td> 2.6 </Td> <Td> 27.00 </Td> </Tr> <Tr> <Td> 2.7 </Td> <Td> 26.02 </Td> </Tr> <Tr> <Td> 2.8 </Td> <Td> 25.10 </Td> </Tr> <Tr> <Td> 2.9 </Td> <Td> 24.25 </Td> </Tr> <Tr> <Td> 3.0 </Td> <Td> 23.45 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 3.1 </Td> <Td> 22.70 </Td> </Tr> <Tr> <Td> 3.2 </Td> <Td> 22.01 </Td> </Tr> <Tr> <Td> 3.3 </Td> <Td> 21.35 </Td> </Tr> <Tr> <Td> 3.4 </Td> <Td> 20.73 </Td> </Tr> <Tr> <Td> 3.5 </Td> <Td> 20.15 </Td> </Tr> <Tr> <Td> 3.6 </Td> <Td> 19.60 </Td> </Tr> <Tr> <Td> 3.7 </Td> <Td> 19.08 </Td> </Tr> <Tr> <Td> 3.8 </Td> <Td> 18.59 </Td> </Tr> <Tr> <Td> 3.9 </Td> <Td> 18.12 </Td> </Tr> <Tr> <Td> 4.0 </Td> <Td> 17.67 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 4.1 </Td> <Td> 17.25 </Td> </Tr> <Tr> <Td> 4.2 </Td> <Td> 16.85 </Td> </Tr> <Tr> <Td> 4.3 </Td> <Td> 16.46 </Td> </Tr> <Tr> <Td> 4.4 </Td> <Td> 16.10 </Td> </Tr> <Tr> <Td> 4.5 </Td> <Td> 15.75 </Td> </Tr> <Tr> <Td> 4.6 </Td> <Td> 15.41 </Td> </Tr> <Tr> <Td> 4.7 </Td> <Td> 15.09 </Td> </Tr> <Tr> <Td> 4.8 </Td> <Td> 14.78 </Td> </Tr> <Tr> <Td> 4.9 </Td> <Td> 14.49 </Td> </Tr> <Tr> <Td> 5.0 </Td> <Td> 14.21 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 5.5 </Td> <Td> 12.95 </Td> </Tr> <Tr> <Td> 6.0 </Td> <Td> 11.90 </Td> </Tr> <Tr> <Td> 6.5 </Td> <Td> 11.01 </Td> </Tr> <Tr> <Td> 7.0 </Td> <Td> 10.24 </Td> </Tr> <Tr> <Td> 7.5 </Td> <Td> 9.58 </Td> </Tr> <Tr> <Td> 8.0 </Td> <Td> 9.01 </Td> </Tr> <Tr> <Td> 8.5 </Td> <Td> 8.50 </Td> </Tr> <Tr> <Td> 9.0 </Td> <Td> 8.04 </Td> </Tr> <Tr> <Td> 9.5 </Td> <Td> 7.64 </Td> </Tr> <Tr> <Td> 10.0 </Td> <Td> 7.27 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 11.0 </Td> <Td> 6.64 </Td> </Tr> <Tr> <Td> 12.0 </Td> <Td> 6.12 </Td> </Tr> <Tr> <Td> 13.0 </Td> <Td> 5.67 </Td> </Tr> <Tr> <Td> 14.0 </Td> <Td> 5.29 </Td> </Tr> <Tr> <Td> 15.0 </Td> <Td> 4.96 </Td> </Tr> <Tr> <Td> 16.0 </Td> <Td> 4.67 </Td> </Tr> <Tr> <Td> 17.0 </Td> <Td> 4.41 </Td> </Tr> <Tr> <Td> 18.0 </Td> <Td> 4.19 </Td> </Tr> <Tr> <Td> 19.0 </Td> <Td> 3.98 </Td> </Tr> <Tr> <Td> 20.0 </Td> <Td> 3.80 </Td> </Tr> </Table> </Td> </Tr> </Table> <Tr> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 0.1 </Td> <Td> 693.49 </Td> </Tr> <Tr> <Td> 0.2 </Td> <Td> 346.92 </Td> </Tr> <Tr> <Td> 0.3 </Td> <Td> 231.40 </Td> </Tr> <Tr> <Td> 0.4 </Td> <Td> 173.63 </Td> </Tr> <Tr> <Td> 0.5 </Td> <Td> 138.98 </Td> </Tr> <Tr> <Td> 0.6 </Td> <Td> 115.87 </Td> </Tr> <Tr> <Td> 0.7 </Td> <Td> 99.36 </Td> </Tr> <Tr> <Td> 0.8 </Td> <Td> 86.99 </Td> </Tr> <Tr> <Td> 0.9 </Td> <Td> 77.36 </Td> </Tr> <Tr> <Td> 1.0 </Td> <Td> 69.66 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 1.1 </Td> <Td> 63.36 </Td> </Tr> <Tr> <Td> 1.2 </Td> <Td> 58.11 </Td> </Tr> <Tr> <Td> 1.3 </Td> <Td> 53.66 </Td> </Tr> <Tr> <Td> 1.4 </Td> <Td> 49.86 </Td> </Tr> <Tr> <Td> 1.5 </Td> <Td> 46.56 </Td> </Tr> <Tr> <Td> 1.6 </Td> <Td> 43.67 </Td> </Tr> <Tr> <Td> 1.7 </Td> <Td> 41.12 </Td> </Tr> <Tr> <Td> 1.8 </Td> <Td> 38.85 </Td> </Tr> <Tr> <Td> 1.9 </Td> <Td> 36.83 </Td> </Tr> <Tr> <Td> 2.0 </Td> <Td> 35.00 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 2.1 </Td> <Td> 33.35 </Td> </Tr> <Tr> <Td> 2.2 </Td> <Td> 31.85 </Td> </Tr> <Tr> <Td> 2.3 </Td> <Td> 30.48 </Td> </Tr> <Tr> <Td> 2.4 </Td> <Td> 29.23 </Td> </Tr> <Tr> <Td> 2.5 </Td> <Td> 28.07 </Td> </Tr> <Tr> <Td> 2.6 </Td> <Td> 27.00 </Td> </Tr> <Tr> <Td> 2.7 </Td> <Td> 26.02 </Td> </Tr> <Tr> <Td> 2.8 </Td> <Td> 25.10 </Td> </Tr> <Tr> <Td> 2.9 </Td> <Td> 24.25 </Td> </Tr> <Tr> <Td> 3.0 </Td> <Td> 23.45 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 3.1 </Td> <Td> 22.70 </Td> </Tr> <Tr> <Td> 3.2 </Td> <Td> 22.01 </Td> </Tr> <Tr> <Td> 3.3 </Td> <Td> 21.35 </Td> </Tr> <Tr> <Td> 3.4 </Td> <Td> 20.73 </Td> </Tr> <Tr> <Td> 3.5 </Td> <Td> 20.15 </Td> </Tr> <Tr> <Td> 3.6 </Td> <Td> 19.60 </Td> </Tr> <Tr> <Td> 3.7 </Td> <Td> 19.08 </Td> </Tr> <Tr> <Td> 3.8 </Td> <Td> 18.59 </Td> </Tr> <Tr> <Td> 3.9 </Td> <Td> 18.12 </Td> </Tr> <Tr> <Td> 4.0 </Td> <Td> 17.67 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 4.1 </Td> <Td> 17.25 </Td> </Tr> <Tr> <Td> 4.2 </Td> <Td> 16.85 </Td> </Tr> <Tr> <Td> 4.3 </Td> <Td> 16.46 </Td> </Tr> <Tr> <Td> 4.4 </Td> <Td> 16.10 </Td> </Tr> <Tr> <Td> 4.5 </Td> <Td> 15.75 </Td> </Tr> <Tr> <Td> 4.6 </Td> <Td> 15.41 </Td> </Tr> <Tr> <Td> 4.7 </Td> <Td> 15.09 </Td> </Tr> <Tr> <Td> 4.8 </Td> <Td> 14.78 </Td> </Tr> <Tr> <Td> 4.9 </Td> <Td> 14.49 </Td> </Tr> <Tr> <Td> 5.0 </Td> <Td> 14.21 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 5.5 </Td> <Td> 12.95 </Td> </Tr> <Tr> <Td> 6.0 </Td> <Td> 11.90 </Td> </Tr> <Tr> <Td> 6.5 </Td> <Td> 11.01 </Td> </Tr> <Tr> <Td> 7.0 </Td> <Td> 10.24 </Td> </Tr> <Tr> <Td> 7.5 </Td> <Td> 9.58 </Td> </Tr> <Tr> <Td> 8.0 </Td> <Td> 9.01 </Td> </Tr> <Tr> <Td> 8.5 </Td> <Td> 8.50 </Td> </Tr> <Tr> <Td> 9.0 </Td> <Td> 8.04 </Td> </Tr> <Tr> <Td> 9.5 </Td> <Td> 7.64 </Td> </Tr> <Tr> <Td> 10.0 </Td> <Td> 7.27 </Td> </Tr> </Table> </Td> <Td> <Table> <Tr> <Th> r% </Th> <Th> </Th> </Tr> <Tr> <Td> 11.0 </Td> <Td> 6.64 </Td> </Tr> <Tr> <Td> 12.0 </Td> <Td> 6.12 </Td> </Tr> <Tr> <Td> 13.0 </Td> <Td> 5.67 </Td> </Tr> <Tr> <Td> 14.0 </Td> <Td> 5.29 </Td> </Tr> <Tr> <Td> 15.0 </Td> <Td> 4.96 </Td> </Tr> <Tr> <Td> 16.0 </Td> <Td> 4.67 </Td> </Tr> <Tr> <Td> 17.0 </Td> <Td> 4.41 </Td> </Tr> <Tr> <Td> 18.0 </Td> <Td> 4.19 </Td> </Tr> <Tr> <Td> 19.0 </Td> <Td> 3.98 </Td> </Tr> <Tr> <Td> 20.0 </Td> <Td> 3.80 </Td> </Tr> </Table> </Td> </Tr>

If the growth rate of the population is 3.5 per year then the doubling time would be how many years