Question: 1. The time t (in years) for the world population to double when it is increasing at a continuous rate r (in decimal form) is

1. The time t (in years) for the world population to double when it is increasing at a continuous rate r (in decimal form) is given by t = (ln 2)/r.
(a) Complete the table and interpret your results.

0.005 | 0.010 0.015 | 0.020 | 0.025 | 0.030

(b) Use a graphing utility to graph the function.
2. A principal P, invested at 512 % and compounded continuously, increases to an amount K times the original principal after t years, where t = (ln K)/0.055.
(a) Complete the table and interpret your result.

(b) Sketch a graph of the function.

0.005 | 0.010 0.015 | 0.020 | 0.025 | 0.030 1 | 2 | 4 6 | 8 | 10 K 12

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