Answer:
, ![\frac{-1-135i}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1-135i%7D%7B2%7D)
Step-by-step explanation:
you use the quadratic equation: (-b ±
) ÷ 2a
in this case, a = 5, b = 5, c = 8
inside the radical will be -135, hence using 135i where 'i' equals -1
Each get 4/6 because if you add it up you get:
4/6+4/6=8/6 or 1 and 2/6+4/6= 2
Well, the house is increasing by 10% each year, so whatever the current price is, the new price is THAT plus 10%, well, since THAT is 100%, shouldn't that be 100% + 10%, or 110%?
![\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=I(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &120,000\\ r=rate\to 10\%\to \frac{10}{100}\to &0.10\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ A=120000(1+0.10)^t\implies \begin{array}{lclll} A=120000(&1.1&)^t\\ &\uparrow \\ &rate\\ &of\\ &growth \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Ctextit%7BAmount%20for%20Exponential%20Growth%7D%5C%5C%5C%5C%0AA%3DI%281%20%2B%20r%29%5Et%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%5Ctextit%7Baccumulated%20amount%7D%5C%5C%0AI%3D%5Ctextit%7Binitial%20amount%7D%5Cto%20%26120%2C000%5C%5C%0Ar%3Drate%5Cto%2010%5C%25%5Cto%20%5Cfrac%7B10%7D%7B100%7D%5Cto%20%260.10%5C%5C%0At%3D%5Ctextit%7Belapsed%20time%7D%5C%5C%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0AA%3D120000%281%2B0.10%29%5Et%5Cimplies%20%0A%5Cbegin%7Barray%7D%7Blclll%7D%0AA%3D120000%28%261.1%26%29%5Et%5C%5C%0A%26%5Cuparrow%20%5C%5C%0A%26rate%5C%5C%0A%26of%5C%5C%0A%26growth%0A%5Cend%7Barray%7D)
1.1 is the decimal format, but you can simply multiply it by 100 to get the percentage, 1.1 * 100 = 110%