SOLUTION: A city has been declining in population for the last 50 years. In the year 2000, the population was 571 thousand, and was declining at a rate of 0.77% per year. If this trend conti

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Question 874204: A city has been declining in population for the last 50 years. In the year 2000, the population was 571 thousand, and was declining at a rate of 0.77% per year. If this trend continues:
(a) Give a formula for the population of this city, P, in thousands, as a function of t, the number of years since 2000.
P=
(b) What is the predicted population in 2010?
The predicted population is thousand people.
(c) To two decimal places, estimate t when the population is 450 thousand people.
When there are 450 thousand people in this city, t≈
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Description gives P=571000e%5E%280.0077t%29.

For P=450000, what is t?
450=571e%5E%280.0077t%29
450%2F571=e%5E%280.0077t%29
0.0077t=ln%28450%2F571%29
highlight%28t=ln%28450%2F571%29%2F0.0077%29, years since 2000.