Question
The population of a city increases by 0.5% per year. If this year's population is 201,000, what will next year's population be, to the nearest individual?
Answers
GPT-4o mini
To find next year's population given this year's population and the annual growth rate, you can use the formula for population growth:
\[
\text{Next year's population} = \text{Current population} \times (1 + \text{growth rate})
\]
In this case, the current population is 201,000, and the growth rate is 0.5%, which can be expressed as a decimal:
\[
\text{growth rate} = \frac{0.5}{100} = 0.005
\]
Now, substituting the values into the formula:
\[
\text{Next year's population} = 201,000 \times (1 + 0.005)
\]
Calculating that:
\[
\text{Next year's population} = 201,000 \times 1.005 = 202,005
\]
Thus, next year's population, rounded to the nearest individual, will be:
\[
\boxed{202005}
\]
\[
\text{Next year's population} = \text{Current population} \times (1 + \text{growth rate})
\]
In this case, the current population is 201,000, and the growth rate is 0.5%, which can be expressed as a decimal:
\[
\text{growth rate} = \frac{0.5}{100} = 0.005
\]
Now, substituting the values into the formula:
\[
\text{Next year's population} = 201,000 \times (1 + 0.005)
\]
Calculating that:
\[
\text{Next year's population} = 201,000 \times 1.005 = 202,005
\]
Thus, next year's population, rounded to the nearest individual, will be:
\[
\boxed{202005}
\]