Question

A city’s population is declining continuously at a rate of 6.1% each year. If the population of the city is currently 435,410, what will the population of the city be in 8 years?

222,930

263,162

266,945

267,278

Answer 1

At the end of the first year the population will be:
435,410 * (1.0 - 0.061) = 435,410 * 0.939 At the end of the second year the population will be 435,410 * 0.939 * 0.939
At the end of the eighth year the population will be
\[4354100\times0.939^{8}\]

Answer 2

2631619.752
that aint the answerrrrr?

Answer 3

\[435410\times0.939^{8}=263161.9752\]
which rounds to 263,162