Question

The population of a certain city was 123,000 in 2006, and the observed relative growth rate is 2% per year.
(a) Find a function that models the population after t years. (Assume t = 0 represents the year 2006.)
(b) Find the projected population in the year 2012. (Round your answer to the nearest thousand.)
(c) In what year will the population reach 200,000?

Answer 1

\[123,000\times (1.02)^t\]

Answer 2

\[123,000\times (1.02)^6=138518\]

Answer 3

Congrats , 3000 medals

Answer 4

wow really? i remember the good old days when i was counting down amistre to 1000!

Answer 5

\[200,000=123,000(1.02)^t\]
\[\frac{200}{123}=(1.02)^t\]
\[t=\frac{\ln(\frac{200}{123})}{\ln(1.02)}\]

Answer 6

about 24.5 years

Answer 7

so 2031?