It is known that a certain kind of algae in the Dead Sea can double in populatio

Question

It is known that a certain kind of algae in the Dead Sea can double in population every 4 days. Suppose that the population of algae grows exponentially, beginning now with a population of 3,000,000. (a) How long it will take for the population to quadruple in size? days (b) How long it will take for the population to triple in size? days Submit Answer Save Progress -10.6 points Suppose you have a cache of radium, which has a half-life of approximately 1590 years. How long would you have to wait for 1/6 of it to disappear You would have to wa years for 1/6 of the radium to disappear. My Notes Ask Your

Explanation / Answer

We have to use the following formula

P(t)=P0(b)t

6000000=3000000(b)4

b4=2

b=21/4

a. 12000000=3000000(2)t/4

4= 2t/4

22=2t/4

2=t/4

t=8 mins

b. 9000000=3000000(2)t/4

3=2t/4

log 3=(t/4)log 2

t=6.34 mins

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