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

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

kropot72 · Answer

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
$$4354100\times0.939^{8}$$

anonymous · Answer

2631619.752 
that aint the answerrrrr?

kropot72 · Answer

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