Answer:
The determinant of the matrix for the the pineapple cake is 4,350. the price of one pineapple cake is 3,520
The determinant of the matrix for the chocolate cake is 5,075 . the price of the chocolate cake is 4,414
The population of the town in 36 years would be 8000.
<h3>What would be the population of the town in 36 years?</h3>
The formula that can be used to determine the town's population is:
FV = P (1 + r)^n
Where:
- FV = Future value
- P = Present value
- R = rate of growth = 100%
- N = number of years = 36/9 = 4
500 x 2^4 = 8000
To learn more about future value, please check: brainly.com/question/18760477
Recall that a slope-intercept form of a linear equation is

Rearrange the given so that it follows that slope intercept form

The y-intercept is the value for which the linear function crosses the y-axis, this is when the value of x is equal to zero. The ordered pair therefore of the y-intercept is (0,-1).
Note that 8.00 = (2.00)^3, that implies that a decay to 1/8.00 means that the Carbon-14 has passed 3 half-life. (1 to decay to 1/2, other to decay to 1/4, and other to decay to 1/8). And, three half-life is 3 * 5730 years = 17,920 years. So,<span> the answer is that the plant was alive 17,920 years.</span>