In 2015, the population of Montgomery County was 224,600. If the population of the county is expected to grow at an annual rate of 1.5%, what will the population be in the year 2025?

Answer: The correct answer is

B) 420 ppm

2,082,497

Step-by-step explanation:

To calculate the compound average return, just like populations

we first add 1 to each annual return, which gives us 1.015 respectively representing 1.015% We then multiply these differences figures together and raise the product to the power of one-ninth to adjust for the fact that we have combined returns from yr 1 period. We show workings like this to show the average difference for yr 1 and yr2-10 for each year so we know it was larger each year on averages with could be lower amounts for the first 5 years to the new average shown at end of calculations.

1.015 x224,600 = 227969 yr1

227,969 - 224.600 = 3,369 difference (1 year) difference

227,969 x 1.015*9 = 2,082,496.815

2082496.815 - 227969 = 1,854,527.815 (9 years) difference

1,854,527.815 / 9 = 206,058.646111 (average year 5)

Year 1.) 3,369 year μ (mu) 206,059 Year 10) 1,854,528

We see the population rose from 3369 year 1 to 207059 (Two hundred and seven thousand) average years 2-9.

Therefore 2082497 (2 million, eighty two thousand) is the population rise by year 2025.

As we account for new rises year to year so this makes a higher yearly total difference.