Step-by-step explanation:
1+6+8+9+7-5+81
= 107
....
Answer:
a) ![A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1](https://tex.z-dn.net/?f=A%28t%3D0%29%3D%2023.1%20e%5E%7B0.0152%280%29%7D%3D23.1e%5E0%20%3D23.1)
b) ![t = \frac{ln(\frac{28.3}{23.1})}{0.0152}=13.357 years](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7Bln%28%5Cfrac%7B28.3%7D%7B23.1%7D%29%7D%7B0.0152%7D%3D13.357%20years)
So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014
Step-by-step explanation:
For this case we assume the following model:
![A(t)= 23.1 e^{0.0152 t}](https://tex.z-dn.net/?f=A%28t%29%3D%2023.1%20e%5E%7B0.0152%20t%7D)
Where t is the number of years after 2000/
Part a
For this case we want the population for 2000 and on this case the value of t=0 since we have 0 years after 2000. If we rpelace into the model we got:
![A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1](https://tex.z-dn.net/?f=A%28t%3D0%29%3D%2023.1%20e%5E%7B0.0152%280%29%7D%3D23.1e%5E0%20%3D23.1)
So then the initial population at year 2000 is 23.1 million of people.
Part b
For this case we want to find the time t whn the population is 28.3 million.
So we need to solve this equation:
![28.3= 23.1 e^{0.0152(t)}](https://tex.z-dn.net/?f=28.3%3D%2023.1%20e%5E%7B0.0152%28t%29%7D)
We can divide both sides by 23.1 and we got:
![\frac{28.3}{23.1}= e^{0.0152t}](https://tex.z-dn.net/?f=%5Cfrac%7B28.3%7D%7B23.1%7D%3D%20e%5E%7B0.0152t%7D)
Now we can apply natural log on both sides and we got:
![ln(\frac{28.3}{23.1})= 0.0152 t](https://tex.z-dn.net/?f=ln%28%5Cfrac%7B28.3%7D%7B23.1%7D%29%3D%200.0152%20t)
And then for t we got:
![t = \frac{ln(\frac{28.3}{23.1})}{0.0152}=13.357 years](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7Bln%28%5Cfrac%7B28.3%7D%7B23.1%7D%29%7D%7B0.0152%7D%3D13.357%20years)
So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014
Answer:
Maybe 40
Step-by-step explanation:
To prime factorization would be A: 2 X 3 X 5 X 7
Because if your do 2 X 3 it would be 6
Then you do 5 X 7 it would be 35
And 6 X 35 would be 210
AND THAT IS FACTORING THE PROBLEM
Answer:
x = - 10
Step-by-step explanation:
Given
10 - x = - 2x ( add 2x to both sides )
10 + x = 0 ( subtract 10 from both sides )
x = - 10