A species of frog’s population grows 24% every year. Suppose 100 frogs are released into a pond.
How many frogs will there be in 5 years?
what is 100(1.24)^5 ?
293
To find the number of frogs after 5 years, we need to calculate the population growth year by year.
Step 1: Calculate the growth rate decimal.
The population grows by 24% every year, so the growth rate decimal is 24/100 = 0.24.
Step 2: Calculate the number of frogs after each year.
Year 1: 100 frogs + (0.24 * 100) = 124 frogs
Year 2: 124 frogs + (0.24 * 124) = 154.16 (rounded to 154) frogs
Year 3: 154 frogs + (0.24 * 154) = 191.96 (rounded to 192) frogs
Year 4: 192 frogs + (0.24 * 192) = 238.08 (rounded to 238) frogs
Year 5: 238 frogs + (0.24 * 238) = 295.12 (rounded to 295) frogs
Therefore, there will be approximately 295 frogs in the pond after 5 years.
To find the number of frogs in 5 years, we need to calculate the population growth each year and add it to the previous year's population.
The population growth rate is 24% per year, which means the population size grows by 24% each year.
To calculate the population each year, we can use the following formula:
Population = Initial Population * (1 + Growth Rate)^Number of Years
In this case, the initial population is 100 frogs, the growth rate is 24% (or 0.24), and the number of years is 5.
Let's plug in the values and calculate the population:
Population = 100 * (1 + 0.24)^5
Now, let's calculate:
Population = 100 * (1.24)^5
= 100 * 1.869
≈ 186.9
Therefore, there will be approximately 186.9 frogs in the pond after 5 years.