Suppose that the population of deer and state is 19,900 and is growing 3% each year predict the population after 10 years.
To predict the population after 10 years, we can use the formula for exponential growth:
Population after t years = Initial population * (1 + growth rate)^t
Where:
Initial population = 19,900
Growth rate = 3% = 0.03
t = 10 years
Let's plug in these values:
Population after 10 years = 19,900 * (1 + 0.03)^10
Calculating this expression:
Population after 10 years ≈ 19,900 * (1.03)^10
Population after 10 years ≈ 19,900 * 1.343916379
Population after 10 years ≈ 26,771.743
Therefore, the predicted population of deer in the state after 10 years would be around 26,771.
To predict the population of deer after 10 years, we can use the formula for exponential growth:
P = P₀ * (1 + r)^t
where:
P is the final population after t years
P₀ is the initial population
r is the growth rate (expressed as a decimal)
t is the number of years
In this case, the initial population (P₀) is 19,900 and the growth rate (r) is 3% or 0.03. The number of years (t) is 10. Plugging in these values into the formula, we can calculate the predicted population:
P = 19,900 * (1 + 0.03)^10
P ≈ 19,900 * (1.03)^10
Using a calculator, we can solve this:
P ≈ 19,900 * 1.34392
P ≈ 26,762.68
Therefore, the predicted population of deer after 10 years would be approximately 26,763.
To predict the population of deer after 10 years, we need to calculate the growth rate for each year and add it to the current population.
Let's break down the problem step by step:
Step 1: Calculate the growth rate per year
The population is growing at a rate of 3% per year. To calculate the growth rate, we multiply the current population by 3% (or 0.03).
Growth rate per year = 0.03
Step 2: Calculate the population after one year
To predict the population after one year, we add the growth rate to the current population.
Population after one year = Current population + (Current population * Growth rate per year)
Population after one year = 19,900 + (19,900 * 0.03)
Step 3: Calculate the population after 10 years
To predict the population after 10 years, we need to repeat step 2 for each year. Since the growth rate is constant, we can use a formula to calculate it in one step.
Population after 10 years = Current population * (1 + Growth rate per year)^Number of years
Population after 10 years = 19,900 * (1 + 0.03)^10
Calculating the above expression, we get:
Population after 10 years ≈ 28,247
Therefore, the predicted population of deer after 10 years is approximately 28,247 individuals.