Given:
The expression is
![\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B9%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%7D)
To find:
The simplified form of given expression.
Solution:
We have,
It can be written as
![\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}=\sqrt[3]{\dfrac{9}{4}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B9%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B9%7D%7B4%7D%7D)
![\left[\because \dfrac{\sqrt[a]{x}}{\sqrt[a]{y}}=\sqrt[a]{\dfrac{x}{y}}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7B%5Csqrt%5Ba%5D%7Bx%7D%7D%7B%5Csqrt%5Ba%5D%7By%7D%7D%3D%5Csqrt%5Ba%5D%7B%5Cdfrac%7Bx%7D%7By%7D%7D%5Cright%5D)
Therefore, the simplified form of given expression is ![\sqrt[3]{\dfrac{9}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cdfrac%7B9%7D%7B4%7D%7D)
.
Note: We can further simplify this expression but be need use exponential properties.
First
determine if this equation were factorable, it's not for this one
so I use quadratic formula, try to search the formula online
<span>x ≈ −2.72 and x ≈ −0.28 is the solution</span>
again, we're assuming that both triangles are similar, and thus using proportions.
we do not use the -10, because whatever value "x" may be, can't be negative or even 0.
Jessica will have 5840 dollars after ten years since 4.6% equals 184 dollars and 184 times ten equals 1840 you would add that to 4000 and have her total for 10 years with 4.6% interest each year
4000 x 0.046 = 1840 + 5000 = 5840
