Decrease £16870 by 3% Give your answer rounded to 2 DP.
2 answers:
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Answer:
a) The continuous rate of growth of this bacterium population is 45%
b) Initial population of culture at t = 0 is 950 bacteria
c) number of bacterial culture contain at t = 5 is 9013 bacteria
Step-by-step explanation:
The number of bacteria in a culture is given by
n(t) = 950
a) rate of growth is
Bacteria growth model N(t) = no
Where r is the growth rate
hence r = 0.45
= 45%
b) Initial population of culture at t = 0
n(0) = 950
= 950
= 950 bacteria
c) number of bacterial culture contain at t = 5
n(5) = 950
= 950
= 9013.35
= 9013 bacteria
<em>Refer to the attachments!!</em><em>~</em>
Answer:
a) the trigonometric function is;
b) ( to two decimal places)
Step-by-step explanation:
This data can be represented by the sinusoidal function of the form :
where A = amplitude and which can be determined via the formula:
A = 7.5° C
where B = the frequency;
Since the data covers a period of 3 days ; then
( where 365 is the time period )
The vertical shift is found by the equation D;
D =
D =
D = 21.5
Replacing the values of A ; B and D into the above sinusoidal function; we have :
From the question; when it is 7th of the year ( i.e January 7);
t = 7 and the temperature (y) = 29° C
replacing that too into the above equation; we have:
Thus; the trigonometric function is;
Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :
( to two decimal places)