Answer:
The initial population at the beginning of the 10 years was 129.
Step-by-step explanation:
The population of the village may be modeled by the following function.

In which P is the population after t hours,
is the initial population and r is the growth rate, in decimal.
In this problem, we have that:
.
So



The initial population at the beginning of the 10 years was 129.
This is impossible without getting a never ending decimal somewhere between 1.14 and 1.15.
8.66, you divide 12.99 into 3 and then multiply the result which is 4.33 by 2
Answer: SECOND OPTION.
Step-by-step explanation:
Given the following point identified as "A":

You can identify that the x-coordinate of the point is:

And its y-coordinate is:

According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.
Therefore, you can conclude that the rule that best describe the translation of the point
is the following:
→
Then, the point translated is:
→
Given:
Joining fee = $28
Fee of each event = $4
To find:
Total cost for someone to attend 4 events.
Solution:
Let the number of events be x and total fee be y.
Fee for 1 event = $4
Fee for x events = $4x
Joining fee remains constant. So, the total fee is

Substitute x=4 in this equation.



Therefore, total cost of 4 events is $44.