A particular bugs population will grow at 58 continuously wh

A particular bug\'s population will grow at 5.8% continuously where time is measured in hour\'s. A scientist started with 600 of these bugs.

(1) How many bugs will there be in 15.6 hours................? Round to nearest whole number.

(2) What is the Doubling Factor (the amount of time needed for the population to double) for this bug? Round to nearest whole number.

Population doubles every hours...................

Solution

1.

P = po e^(rt)

Hence,

P = 600*exp(0.058*15.6) = 1482.862552 = 1483 [ANSWER]

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2.

As

e^(rt) = 2

e^(0.058t) = 2

t = ln(2)/0.058 = 11.95081346 = 12 hours [ANSWER]