Poaching causes a population of elephants to decrease by 8% per year. If there are 10,000 elephants today, about how many will remain in 50 years?
10000 * 0.92^50
To find out how many elephants will remain in 50 years, we need to calculate the population decrease each year for 50 years.
First, let's calculate the decrease in population for one year. The population decreases by 8%, which means 92% (100% - 8%) of the population remains.
To find the population after one year, we can multiply the current population by 0.92:
Population after 1 year = 10,000 * 0.92 = 9,200 elephants
To find the population after 50 years, we can use the same process and repeat it 50 times:
Population after 50 years = 10,000 * 0.92^50 ≈ 2,195 elephants
Therefore, approximately 2,195 elephants will remain in 50 years.
To determine the population of elephants that will remain in 50 years, we need to apply the annual decrease rate of 8% for each year. Here's how you can calculate it step by step:
Step 1: Calculate the decimal representation of the decrease rate.
To convert 8% to a decimal, divide it by 100:
8 ÷ 100 = 0.08
Step 2: Calculate the population after each year.
To calculate the population for each year, we multiply the current population by (1 - decrease rate):
Population after 1 year = 10,000 elephants * (1 - 0.08) = 10,000 * 0.92 = 9,200 elephants
Step 3: Repeat the process for the next year.
Repeat Step 2 for each subsequent year to find the population after each year. Let's do this for 50 years:
Population after 2 years = 9,200 * 0.92 = 8,464 elephants
Population after 3 years = 8,464 * 0.92 = 7,786.88 (rounding to 7,787 elephants)
...
(until we reach 50 years)
Step 4: Calculate the population after 50 years.
Continue this process until we reach 50 years:
Population after 50 years = 10,000 * (0.92)^50 ≈ 2,293 elephants
So, approximately 2,293 elephants will remain after 50 years if the population decreases by 8% per year due to poaching.