a colony of 10000 bees doubles in number every month. how many bees will bein the colony after 6 months?
10000 * 2^6 = ____
To find out how many bees will be in the colony after 6 months, we need to calculate the doubling effect every month.
Starting with 10,000 bees, the number of bees in the colony will double every month. So, we can calculate the number of bees using the formula:
Number of Bees = Initial Number of Bees * (2 ^ Number of Months)
Plugging in the values, we have:
Number of Bees = 10,000 * (2 ^ 6)
Calculating this:
Number of Bees = 10,000 * 64
Number of Bees = 640,000
Therefore, there will be 640,000 bees in the colony after 6 months.
To find out how many bees will be in the colony after 6 months, we can use exponential growth. In this case, the colony doubles in number every month, so the growth rate is 2.
To calculate the number of bees in the colony after 6 months, we can use the formula:
P = P₀ * (r^t)
Where:
P₀: initial number of bees in the colony
r: growth rate (in this case, 2)
t: time (in this case, 6 months)
P: final number of bees in the colony
Let's substitute the values into the formula:
P = 10000 * (2^6)
Now, we can simplify the equation and calculate the final number of bees:
P = 10000 * 64
P = 640,000
So, after 6 months, there will be 640,000 bees in the colony.