The vertex of the parabola below is at the point (4, -1). Which of the equations below could be the one for this parabola?
1 answer:
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Answer:
36 feet
Step-by-step explanation:
Given
Required
Determine the maximum height attained
First, calculate the time to reach maximum height;
In a quadratic equation;
The maximum is:
So, we have:
Where
So:
The maximum height is at:
So, we have:
Using an exponential function, it is found that:
- For Country A, the doubling time is of 43 years.
- For Country B, the growth rate is of 1.9% per year.
The exponential function for population growth is given as follows:
In which:
- P(t) is the population after t years.
- P(0) is the initial population.
- k is the exponential growth rate, as a decimal.
- t is the time in years.
For Country A, we have that k = 0.016. The doubling time is t for which P(t) = 2P(0), hence:
t = 43 years.
For Country B, P(36) = 2P(0), hence we have to solve for k to find the growth rate.
k = 0.019.
For Country B, the growth rate is of 1.9% per year.
More can be learned about exponential functions at brainly.com/question/25537936
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