Answer:
1122
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. The vertex i at <span>(0, 36) and a focus at (0, 39), then you have:
a=36
a^2=1296
2. The directrix is:
y=a^2=c
c=39
y=1296/39
</span>y=432/13<span>
Therefore, the answer is the option D, which is: </span><span>D. y=± 432/13</span>
<u>Given</u>:
A population numbers 15,000 organisms initially and grows by 19.7 % each year.
Let P represents the population.
Let t be the number of years of growth.
An exponential model for the population can be written in the form of 
We need to determine the exponential model for the population.
<u>Exponential model:</u>
An exponential model for the population is given by

where a is the initial value and
and b is the rate of change.
From the given, the value of a is given by

Also, the value of b is given by

Thus, substituting the values of a and b in the exponential model, we get;

Thus, the exponential model for the given population is 