Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 4 years.
clearly, that will be
1500 * 1.02^4
To predict the population after 4 years, we need to calculate the growth rate over the given time period. In this case, the population is growing at a rate of 2% each year.
To find the population after 4 years, we can use the following formula:
Population after n years = Initial population * (1 + growth rate)^n
Given that the initial population is 1,500 and the growth rate is 2%, we can substitute these values into the formula:
Population after 4 years = 1,500 * (1 + 0.02)^4
To calculate this using a calculator or a spreadsheet program, you can follow these steps:
1. Add 1 to the growth rate: 1 + 0.02 = 1.02
2. Raise this value to the power of 4: (1.02)^4 = 1.08243264
3. Multiply the result by the initial population: 1,500 * 1.08243264 = 1,623.65 (rounded to the nearest whole number)
Therefore, the predicted population of deer after 4 years would be approximately 1,624.
To predict the population after 4 years, you can use the formula for compound interest:
A = P * (1 + r)^t
Where:
A is the final population after t years,
P is the initial population,
r is the annual growth rate as a decimal,
t is the number of years.
In this case, the initial population P is 1,500, the annual growth rate r is 2% (or 0.02 as a decimal), and t is 4 years.
Let's substitute the values into the formula:
A = 1,500 * (1 + 0.02)^4
Now let's calculate it step-by-step:
Step 1: Calculate (1 + 0.02)
= 1 + 0.02
= 1.02
Step 2: Calculate (1.02)^4
≈ 1.0824 (rounded to 4 decimal places)
Step 3: Calculate 1,500 * 1.0824
≈ 1,623.6
Therefore, the predicted population of deer after 4 years is approximately 1,623.