To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.
Model:
The exponential model for the number of infected trees after t years is given by:
![f(t) = e^{0.4t}](https://tex.z-dn.net/?f=f%28t%29%20%3D%20e%5E%7B0.4t%7D)
How many years will it take for 21 of the trees to become infected?
This is t for which:
![f(t) = 21](https://tex.z-dn.net/?f=f%28t%29%20%3D%2021)
Thus
![e^{0.4t} = 21](https://tex.z-dn.net/?f=e%5E%7B0.4t%7D%20%3D%2021)
Applying the natural logarithm to both sides:
![\ln{e^{0.4t}} = \ln{21}](https://tex.z-dn.net/?f=%5Cln%7Be%5E%7B0.4t%7D%7D%20%3D%20%5Cln%7B21%7D)
![0.4t = \ln{21}](https://tex.z-dn.net/?f=0.4t%20%3D%20%5Cln%7B21%7D)
![t = \frac{\ln{21}}{0.4}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Cln%7B21%7D%7D%7B0.4%7D)
![t = 7.6](https://tex.z-dn.net/?f=t%20%3D%207.6)
It will take 7.6 years for for 21 of the trees to become infected.
For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.
Answer:
18
Step-by-step explanation:
to make one third into a whole you have to mutiply by 3. So 1/3 x 3=1. To make it 6 you would multiply 3 x 6=18. 18 one third cup of servings are in 6 cups.
Sorry for all the scribbles if you dont get it just answer/reply back lol.
Answer:210 because 150 divided by 25 is 6 and 35 times 6 is 210
Step-by-step explanation:hope this helps : )
Answer:
first choice
Step-by-step explanation:
make 1/3 and 1/2 a common denominator, which is 6.
1x2
- = 2
-
3x 2 6
1 x 3
- = 3
-
2 x 3 6
now u have 2/6, and 3/6
u subtract 2/6 by 3/6 since ur finding a solution to an inequality. remember to do the opposite sign.
2/6-2/6 = 0 (u cancel that out)
3/6 - 2/6 = 1/6
now u have
q>1/6
since there's no 1/6 the first choice is the most accurate