Question

Please help me :(

The population of a certain geographic region is approximately 133 million and grows continuously at a relative growth rate of 1.59%. What will the population be in 6 years? Compute the answer to three significant digits.

Answer 1

You use the formula

A = Pe^(rt)

where

A = unknown (solving for it)(population in t years)
P = 133 (population now -- in millions)
r = 0.0159 (growth rate)
t = 6 (# of years)


A = Pe^(rt)

A = 133*e^(0.0159*6)

A = 133*e^(0.0954)

A = 133*1.10009880665

A = 146.31314128445

A = 146 (round to three significant digits)

So the population will be roughly 146 million in 6 years