Answer:
step 1
3/4+5/4
step 2
dinominator is same so we have to put 4
step 3
3+5/4
step 4
7/4
answer is 7/4
Answer: C
Step-by-step explanation:
The x times 4 equals the y in each column.
Answer:
![P(t) = 5100e^{0.0039t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%205100e%5E%7B0.0039t%7D)
Step-by-step explanation:
The exponential model for the population in t years after 2013 is given by:
![P(t) = P(0)e^{rt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29e%5E%7Brt%7D)
In which P(0) is the population in 2013 and r is the growth rate.
In 2013, the moose population in a park was measured to be 5,100
This means that ![P(0) = 5100](https://tex.z-dn.net/?f=P%280%29%20%3D%205100)
So
![P(t) = 5100e^{rt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%205100e%5E%7Brt%7D)
By 2018, the population was measured again to be 5,200.
2018 is 2018-2013 = 5 years after 2013.
So this means that
.
We use this to find r.
![P(t) = 5100e^{rt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%205100e%5E%7Brt%7D)
![5200 = 5100e^{5r}](https://tex.z-dn.net/?f=5200%20%3D%205100e%5E%7B5r%7D)
![e^{5r} = \frac{52}{51}](https://tex.z-dn.net/?f=e%5E%7B5r%7D%20%3D%20%5Cfrac%7B52%7D%7B51%7D)
![\ln{e^{5r}} = \ln{\frac{52}{51}}](https://tex.z-dn.net/?f=%5Cln%7Be%5E%7B5r%7D%7D%20%3D%20%5Cln%7B%5Cfrac%7B52%7D%7B51%7D%7D)
![5r = \ln{\frac{52}{51}}](https://tex.z-dn.net/?f=5r%20%3D%20%5Cln%7B%5Cfrac%7B52%7D%7B51%7D%7D)
![r = \frac{\ln{\frac{52}{51}}}{5}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B%5Cln%7B%5Cfrac%7B52%7D%7B51%7D%7D%7D%7B5%7D)
![r = 0.0039](https://tex.z-dn.net/?f=r%20%3D%200.0039)
So the equation for the moose population is:
![P(t) = 5100e^{0.0039t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%205100e%5E%7B0.0039t%7D)
Answer:
Step-by-step explanation:
4x+2=5x-6
4x-5x=-6-2
-x=-8
therefore, x=8