A biologist recorded a count of 348 bacteria present in a culture after 5 minutes and 1088 bacteria present after 20 minutes. To the nearest whole number, what was the initial population ?

The initial bacteria population is 238

Step-by-step explanation:

Let us have the increase as an exponential equation

P(t) = I(1 + r)^t

where P(t) is the count at a particular time

r is the percentage increase

I is the initial population

t is the time

So for 5 minutes, we have

348 = I(1 + r)^5

For 20 minutes

1088 = I(1 + r)^20

Divide the second equation by the first

1088/348 = I(1 + r)^20/I(1 + r)^5

3.13 = (1 + r)^15

Take the ln of both sides

ln 3.13 = 15 ln (1 + r)

ln 3.13/15 = ln (1 + r)

0.0761 = ln (1 + r)

1 + r = e^0.0761

1 + r = 1.079

r = 1.079-1

r = 0.079 which is 7.9%

So per minute. we have an increase of 7.9%

So let’s get I by substituting

From;

348 = I(1 + 0.079)^5

348/1.079^5 = I

I = 237.9 which is 238 to the nearest whole number

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

it would take 5 hours i think idk i'm not that good at math.can you me with my questions i need asap.