Answer:
The expression that represents the population of elk is:
. It'll take 6 years for the population to reach 1,458 individuals.
Step-by-step explanation:
Since the number of elks triples every year and starts at
, then after the first year the population will be:
![\text{elk}(1) = \text{elk}(0)*3 = 2*3](https://tex.z-dn.net/?f=%5Ctext%7Belk%7D%281%29%20%3D%20%5Ctext%7Belk%7D%280%29%2A3%20%3D%202%2A3)
While on the second year, it'll be:
![\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2](https://tex.z-dn.net/?f=%5Ctext%7Belk%7D%282%29%20%3D%20%5Ctext%7Belk%7D%281%29%2A3%20%3D%202%2A3%2A3%20%3D%202%2A3%5E2)
On the third year:
![\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3](https://tex.z-dn.net/?f=%5Ctext%7Belk%7D%283%29%20%3D%20%5Ctext%7Belk%7D%282%29%2A3%20%3D%202%2A3%5E2%2A3%20%3D%202%2A3%5E3)
And so on, therefore the expression that describes the population of elk as the years passes is:
![\text{elk}(t) = 2*3^t](https://tex.z-dn.net/?f=%5Ctext%7Belk%7D%28t%29%20%3D%202%2A3%5Et)
If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.
![1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6](https://tex.z-dn.net/?f=1458%20%3D%202%2A3%5Et%5C%5C3%5Et%20%3D%20%5Cfrac%7B1458%7D%7B2%7D%5C%5C3%5Et%20%3D%20729%5C%5Cln%283%5Et%29%20%3D%20ln%28729%29%5C%5Ct%2Aln%283%29%20%3D%20ln%28729%29%5C%5Ct%20%3D%20%5Cfrac%7Bln%28729%29%7D%7Bln%283%29%7D%20%3D%206)
The population will reach 1,458 elk in 6 years.
Answer:
The Answer is 47
Step-by-step explanation:
Because you do A squared plus B squared equals C squared and Squared is just multiplying both by two.
Answer:<em> 35ft</em>
Step-by-step explanation:
<em>The area for a rectangle or square is Width times Length (W*L)</em>
<em>So we can take our given measurements and multiply them</em>
<em />
<em />
(12)(20)= 240
The answer is going to be B. 240 sq ft