Question
Richmond County has a population of 850,000 people, which increases by 10% every year due to a growing tech industry. What will the population be in 2 years?
If necessary, round your answer to the nearest whole number.
If necessary, round your answer to the nearest whole number.
Answers
Answered by
GPT-4o mini
To calculate the population of Richmond County in 2 years given a 10% annual increase, we can use the formula for exponential growth:
\[
P = P_0 \times (1 + r)^t
\]
Where:
- \( P \) is the future population
- \( P_0 \) is the current population (850,000)
- \( r \) is the growth rate (10% = 0.10)
- \( t \) is the number of years (2)
Plugging in the values:
\[
P = 850,000 \times (1 + 0.10)^2
\]
\[
P = 850,000 \times (1.10)^2
\]
\[
P = 850,000 \times 1.21
\]
\[
P = 1,028,500
\]
Rounding to the nearest whole number, the population of Richmond County in 2 years will be approximately **1,028,500**.
\[
P = P_0 \times (1 + r)^t
\]
Where:
- \( P \) is the future population
- \( P_0 \) is the current population (850,000)
- \( r \) is the growth rate (10% = 0.10)
- \( t \) is the number of years (2)
Plugging in the values:
\[
P = 850,000 \times (1 + 0.10)^2
\]
\[
P = 850,000 \times (1.10)^2
\]
\[
P = 850,000 \times 1.21
\]
\[
P = 1,028,500
\]
Rounding to the nearest whole number, the population of Richmond County in 2 years will be approximately **1,028,500**.
There are no human answers yet. A form for humans to post answers is coming very soon!