Jackson has a table with a square top and he wants to buy a circular piece of lace that will cover the entire top of the table.
The top of the table has side lengths
of 12 inches, as shown. help?
12 in
12 in
What is the area, in square inches, of the smallest circular piece of lace Jackson could buy? Round your answer to the nearest tenth
of 12 inches, as shown. help?
12 in
12 in
What is the area, in square inches, of the smallest circular piece of lace Jackson could buy? Round your answer to the nearest tenth
1 answer:
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Given:
In 1999, the number of mosquitos = 2500
They tripled every year.
To find:
The model for this situation and find the number of mosquitos in 2005.
Solution:
The general exponential modal is
...(i)
Where, a is the initial value and 0<b<1 is decay factor and b>1 is growth factor.
In 1999, the number of mosquitos is 2500.
Initial value:
They tripled every year. So, growth factor is 3>1 and it is exponential growth.
Growth factor:
Putting and
in (i), we get
...(ii)
Here, y is the population of mosquitos after x year of 1999.
Therefore, the required exponential growth modal is .
We know that,
Putting x=6 in (ii), we get
Therefore, the estimated number of mosquitos in 2005 is 1822500.