SOLUTION: The population P of a city grows exponentially according to the function p(t) = {{{16200(1.06)^t}}}, where t is measured in years. When, to the nearest year, will the population re

SOLUTION: The population P of a city grows exponentially according to the function p(t) = {{{16200(1.06)^t}}}, where t is measured in years. When, to the nearest year, will the population re

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Question 91945: The population P of a city grows exponentially according to the function p(t) = , where t is measured in years. When, to the nearest year, will the population reach 24,000?
Answer by mathispowerful(115) (Show Source): You can put this solution on YOUR website!

this is a solving equation problem.

set up the equation:
divide 16200 on both sides:
take logarithm on both sides:

so

=6.745
so it is about 7 years.

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