In 2010, a city population was 55,210 and it was declining at a rate of 1.09 each year. What is the best prediction for when the
2 answers:
Answer:
The city population will first be below 48,000 in the year:
2022
Step-by-step explanation:
It is given that:
In 2010, a city population was 55,210
in 2011 the city population will be
(100-1.09)×55210/100=98.91×55210/100
= 0.9891×55210
in 2012 the city population will be
0.9891×0.9891×55210
we have to find number of years t such that
i.e. the thirteen years from 2010 we will have city population less than 48000
i.e. in the year 2022
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Answer:
The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)
Step-by-step explanation:
The cosine function equation is given as follows h = d + a·cos(b(x - c))
Where:
= Amplitude
2·π/b = The period
c = The phase shift
d = The vertical shift
h = Height of the function
x = The time duration of motion of the wave, t
The given data are;
The amplitude = 2 feet
Time for the wave to pass the dock
The number of times the wave passes a point in each cycle = 2 times
Therefore;
The time for each complete cycle = 2 × 30 seconds = 60 seconds
The time for each complete cycle = Period = 2·π/b = 60
b = π/30 =
Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have
h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)
The cosine function is h = 2·cos((π/30)·t).