Please help me.. I'm so confused on this :(..

A culture started with 2,000 bacteria. After 2 hours, it grew to 2,400 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number.

Note: When solving for k, round to four decimal places.

P = ae^k^t

P = ae^(kt); where P is the population after t hours, a is the initial population, k is the growth rate, and t is the time interval.

2400 = 2000e^(2k)
e^(2k) = 2400/2000 = 1.2
2k = ln 1.2
k = ln 1.2 / 2 = 0.0912

After 10, hours:
P = 2000e^(10 x 0.0912) = 2000e^0.912 = 4,979

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Please help me.. I'm so confused on this :(.. A culture started with 2,000 bacteria. After 2 hours, it grew to 2,400 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. Note: When solving for k, round to four decimal places. P = ae^k^t

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