Answer:
Twenty five
Step-by-step explanation:
Answer:
Option: C is the correct answer.
C. Periodic with period 4 and amplitude of about 15.
Step-by-step explanation:
We are given the table of values as:
Hour 1 -- 2 -- 3 -- 4 -- 5 -- 6 -- 7 -- 8 -- 9 -- 10 -- 11
Number 24-41-10-32-26-38-9-31-25-39-12
of boats
As we could see that after every 4 value the values are approximately repeating.
Hence,the data set is approximately periodic.
Also, the amplitude is calculated as:
Average of the maximum and minimum value of each set
We divide the set into 3 sets as follows:
Hour 1 2 3 4
Number of boat 24 41 10 32
Here we have amplitude as:
(41-10)/2=15.5
Hour 5 6 7 8
Number of boat 26 38 9 31
Amplitude is:
(38-9)/2=14.5
Hour 9 10 11 12
Number of boat 25 39 12
Amplitude is:
(39-12)/2=13.5
Hence, we see that the amplitude is about 15.
The formula for exponential decay is
where a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 . 2018-2012 = 6 years)
<span>y </span>≈ <span>13351.62</span>
5^-7 * 5^12
Because the base is the same, add the exponents.
5^ (-7+12)= 5^5
Final answer: 5^5, or 3125
30 is the answer of this equation
