Given:
Population is 2005 = 35,700
growth rate = 4% = 0.04
To find:
The population in 2030.
Solution:
The general exponential growth model is
where, a is initial value, r is growth rate and t is time in years.
Let the initial year is 2005. So, number of years between 2005 to 2030 is
Putting a=35,700, r=0.04 and t=25 in the above model.
Approximate the value to the nearest whole number.
Therefore, population of the district will be about 95,170.
Answer:
14.3 feet
Step-by-step explanation:
Let the height of the tree = x feet.
It is given that the horizontal distance from the base of tree = 10 feet and the angle of elevation to the nest is 55°.
So, we get the following figure.
As, we are obtaining a right angled triangle.
Using the trigonometric form for the angles of a right angled triangle, we get,
i.e. 
i.e. 
i.e. 
i.e. 
Hence, the height of the tree is 14.3 feet.
Answer:
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