Question

PLEASE HELP!!!!! PLEASE GIVE A EXPLANATION AND SHOW WORK!!!! THANK YOU!!!!

In 2018, the population will grow to over 700,000. The population of a city in 2010 was 450,000 and was growing at a rate of 5% per year. In what year will the population be over 700,000? Show all work.

Answer 1

2019

Explanation:

2010: 450,000

2011: (5% of 450,000) + 450,000 = 472,500

2012: (5% of 472,500) + 472,500 = 496,125

2013: (5% of 496,125) + 496,125 = 520,931.25

2014: (5% of 520,931.25) + 520,931.25 = 546,977.8125

2015: (5% of 546,977.8125) + 546,977.8125 = 574,326.703125

2015: (5% of 574,326.703125) + 574,326.703125 = 603,043.038281

2016: (5% of 603,043.038281) + 603,043.038281 = 633,195.190195

2017: (5% of 633,195.190195) + 633,195.190195 = 664,854.949705

2018: (5% of 664,854.949705) + 664,854.949705 = 698,097.69719

2019: (5% of 698,097.69719) + 698,097.69719 = 733,002.582049

Basically, take five percent of the population of the year and add it to the population of the previous year. This is the long way of doing it, but you get the population count for each year.