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Answer:
See below. The answer is incomplete, I couldn't post it.
Step-by-step explanation:
Considering a function , it is said to be discontinuous when it has a hole or breaks, it means places where
cannot be evaluated. For example, when the denominator equals to 0, it is not defined.
Given:
In 2010, the population of a town = 2000
Every year, it increase by 1.5%
To find the equation P(t) which represents the population of this town t years from 2010.
Formula
If a be the original population of a town and it increases by b% every year, after t year the population will be
Now,
Taking, a =2000, b = 1.5 we get,
or,
Hence,
The population of this town t years from 2010 P(t) = , Option D.
Answer:
36 feet.
Step-by-step explanation:
We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is . We are asked to find the maximum height of the ball.
We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.
To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.
Let us find x-coordinate of parabola using formula .
So, the x-coordinate of the parabola is . Now, we will substitute
in our given equation to find y-coordinate of parabola.
Therefore, the maximum height of the ball is 36 feet.