In 2010, the population of a town is 8500. the population decreases by 4.5% each year. write an equation to find the population of the town t years after 2010. in what year will the population of the town be 7000.

Question

Mathematics

London Carson

1 March, 10:21

In 2010, the population of a town is 8500. the population decreases by 4.5% each year. write an equation to find the population of the town t years after 2010. in what year will the population of the town be 7000.

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Snickers · Answer 1

P (t) = 8500 (1 - 0.045) ^t - base equation

7000 = 8500 (1 - 0.045) ^t

0.8235 = (0.955) ^t

ln 0.8235 = ln 0.955^t

ln 0.8235 = t ln 0.955

(ln 0.8235) / (ln 0.955) = t

t = 4.216 years