Answer:
170,070 residents
Step-by-step explanation:
Original population = 1500 residents
Total population after 6 years is calculated using the formula
A = P(1+r)^t
r is the rate = 120% = 1.2
t is the time = 6 years
P is the original population
A = 1500(1+1.2)^6
A = 1500(2.2)^6
A = 1500(113.379904)
A = 170,069.856
Answer:
![\large\boxed{1)\ y=\dfrac{2}{3}x+\dfrac{5}{2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B1%29%5C%20y%3D%5Cdfrac%7B2%7D%7B3%7Dx%2B%5Cdfrac%7B5%7D%7B2%7D%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
Let
![k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}](https://tex.z-dn.net/?f=k%3Ay%3Dm_1x%2Bb_1%2C%5C%20l%3Ay%3Dm_2x%2Bb_2%5C%5C%5C%5Cl%5C%20%7C%7C%5C%20k%5Ciff%20m_1%3Dm_2%5C%5C%5C%5Cl%5C%20%5Cperp%5C%20k%5Ciff%20m_1m_2%3D-1%5Cto%20m_2%3D-%5Cdfrac%7B1%7D%7Bm_1%7D)
We have
![2y+3x=1](https://tex.z-dn.net/?f=2y%2B3x%3D1)
Convert to the slope-intercept from:
<em>subtract 3x from both sides</em>
<em>divide both sides by 2</em>
![y=-\dfrac{3}{2}x+\dfrac{1}{2}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B3%7D%7B2%7Dx%2B%5Cdfrac%7B1%7D%7B2%7D)
![m_1=-\dfrac{3}{2}\to m_2=-\dfrac{1}{-\frac{3}{2}}=\dfrac{2}{3}](https://tex.z-dn.net/?f=m_1%3D-%5Cdfrac%7B3%7D%7B2%7D%5Cto%20m_2%3D-%5Cdfrac%7B1%7D%7B-%5Cfrac%7B3%7D%7B2%7D%7D%3D%5Cdfrac%7B2%7D%7B3%7D)
Therefore your answer is
![1)\ y=\dfrac{2}{3}x+\dfrac{5}{2}](https://tex.z-dn.net/?f=1%29%5C%20y%3D%5Cdfrac%7B2%7D%7B3%7Dx%2B%5Cdfrac%7B5%7D%7B2%7D)
Answer:
the origin
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
1. 27y^3
2. 32c^5
3. 16m^4
4. 64g^3
5. 49j^2
6. -3125z^5
Step-by-step explanation:
Can you help answer my question too, please?