The population of a city is 45,000 and decreases 2% each year. If the trend continues, what will the population be after 15 yrs?
(1 point)
Responses
about 14,746
about 14,746
about 33,236
about 33,236
about 41,100
about 41,100
about 47,504
To find the population after 15 years, we need to calculate the population after each year and decrease it by 2% each time.
Population after 1 year = 45,000 - (2% of 45,000)
= 45,000 - (0.02 * 45,000)
= 45,000 - 900
= 44,100
Population after 2 years = 44,100 - (2% of 44,100)
= 44,100 - (0.02 * 44,100)
= 44,100 - 882
= 43,218
Following this pattern, we can continue calculating the population after each year:
Population after 3 years = 42,535
Population after 4 years = 41,949
Population after 5 years = 41,450
Population after 6 years = 41,030
Population after 7 years = 40,678
Population after 8 years = 40,385
Population after 9 years = 40,142
Population after 10 years = 39,942
Population after 11 years = 39,778
Population after 12 years = 39,642
Population after 13 years = 39,529
Population after 14 years = 39,433
Population after 15 years = 39,352
Therefore, the population of the city after 15 years, if the trend continues, will be about 39,352.