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5. Compound Interest - Single Payment: $5000 was invested at 5.2%, compounded semi-annually, for 3 years. What was the investmen
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Question:
(a) How many bacteria would be found in 24 hours
(b) How many bacteria would be found in 2 days
(c) How long for 1000 bacteria to be found
Answer:
(a) 282429536481 bacteria
(b) bacteria
(c) 6 days
Step-by-step explanation:
The question illustrates an exponential function
Where
--- i.e. triples
Solving (a): Bacteria in 24 hours
In this case:
Substitute ,
and
So:
bacteria
Solving (b): Bacteria in 2 days
So:
Substitute ,
and
So:
bacteria
Solving (c): How long for 1000 bacteria
In this case:
Substitute ,
and
So:
Take Log of both sides
This gives:
Make x the subject
<em>Hence: It takes 6 days</em>