gapeach69

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?

A) about 14,746****
B) about 33,236
C) about 41,000
D) about 47,504

no

45000(.98)^15 = appr 33236

Thank you!

B

To find the population of a city after 15 years with a 2% decrease per year, you can use the following formula:

Population after n years = Initial population * (1 - Rate of decrease/100)^n

In this case, the initial population is 45,000 and the rate of decrease is 2%.

So, the calculation would be:

Population after 15 years = 45,000 * (1 - 2/100)^15

Now, let's calculate:

Population after 15 years = 45,000 * (0.98)^15
= 45,000 * 0.670616778
≈ 30,177.255

After rounding to the nearest whole number, the population after 15 years will be approximately 30,177.

Since none of the multiple-choice options match this result exactly, it is possible that there is an error in the question or the given options. However, the closest option is "A) about 14,746", so that would be the best choice among the given options.