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
about 47,504
CHOOSE ONE

The population decreases 2% each year, so it will be 98% of the previous year's population.

After 1 year: 45,000 * 0.98 = 44,100
After 2 years: 44,100 * 0.98 = 43,218
After 3 years: 43,218 * 0.98 = 42,356.44
...
After 15 years: 45,000 * (0.98)^15 ≈ 33,235.5282 ≈ 33,236

Therefore, the population of the city after 15 years will be about 33,236.

So, the correct answer is:
about 33,236