A Bacteria has a doubling period of 8 days. If there are 2250 bacteria present now, how many will there be in 33 days?

find the growth rate (Round this to 4 decimal places).
Growth Rate___________.
There will be _________ Bacteria.

I came up with:.0668 for the growth rate (I also put in 8.6643%)
and 72000 for the bacteria.
none of them are correct.

OK .. thanks .. the 39258 is correct. but the 1.0905 is showing as incorrect.

Since it grows by a factor of 2 every 8 days, the population is

2250 * 2^(t/8)
In 33 days there will be 39258

The growth factor for each day is 2^(1/8) = 1.0905, for a 9.05% per day growth rate

To find the growth rate, we can use the formula:

Growth Rate = 2^(1/Doubling Period)

where the doubling period is 8 days.

Substituting the values into the formula:

Growth Rate = 2^(1/8)
Growth Rate ≈ 1.0905

Now, to calculate the number of bacteria in 33 days, we can use the formula:

Final Amount = Initial Amount * (1 + Growth Rate)^(Number of Doubles)

Number of Doubles = Number of Days / Doubling Period = 33 / 8 ≈ 4.125

Substituting the values into the formula:

Final Amount = 2250 * (1 + 1.0905)^(4.125)
Final Amount ≈ 21226.414

Therefore, the growth rate rounded to 4 decimal places is 1.0905, and the number of bacteria in 33 days would be approximately 21,226.

To find the growth rate of bacteria, you can use the formula:

Growth rate = (2 ^ (1 / doubling period)) - 1

In this case, the doubling period is 8 days. Plug in this value into the formula:

Growth rate = (2 ^ (1 / 8)) - 1

Calculating this would give you:

Growth rate = 0.0901

Now, to find the number of bacteria after 33 days, you can use the formula:

Final population = Initial population * (1 + growth rate) ^ (number of periods)

In this case, the initial population is 2250 bacteria, the growth rate is 0.0901, and the number of periods is 33 days. Plug in these values into the formula:

Final population = 2250 * (1 + 0.0901) ^ 33

Calculating this would give you:

Final population ≈ 59043 bacteria (rounded to the nearest whole number)

So, the growth rate is approximately 0.0901, and there will be approximately 59043 bacteria after 33 days.