Answer:
4<x<12
Step-by-step explanation:
8.0+4.0=12.0
8.0-4.0=4.0 or 4
5 and 6 (5 being the square root of 25 and 6 being the square root of 36, which are the closest perfect squares)
Explanation:
The formula for getting the ROI or Return of Investment is:
![ROI=\frac{finalvalue-initialvalue}{initial\text{ value}}\times100](https://tex.z-dn.net/?f=ROI%3D%5Cfrac%7Bfinalvalue-initialvalue%7D%7Binitial%5Ctext%7B%20value%7D%7D%5Ctimes100)
In the problem, the initial value is $15,500 while the final value is $12,500.
Plugging these data into the formula above, we get:
![TotalReturn=\frac{12,500-15,500}{15,500}\times100](https://tex.z-dn.net/?f=TotalReturn%3D%5Cfrac%7B12%2C500-15%2C500%7D%7B15%2C500%7D%5Ctimes100)
Then, simplify.
![\begin{gathered} TotalReturn=\frac{-3,000}{15,500}\times100 \\ TotalReturn=-0.193548\times100 \\ TotalReturn=-19.3548 \\ TotalReturn\approx-19.4\% \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20TotalReturn%3D%5Cfrac%7B-3%2C000%7D%7B15%2C500%7D%5Ctimes100%20%5C%5C%20TotalReturn%3D-0.193548%5Ctimes100%20%5C%5C%20TotalReturn%3D-19.3548%20%5C%5C%20TotalReturn%5Capprox-19.4%5C%25%20%5Cend%7Bgathered%7D)
Answer:
The total return on Jill's investment is -19.4%.
Answer:
x = 10
Step-by-step explanation:
Let's draw the center of the circle S and the segments SE and SD.
SE is perpendicular to EF (as EF is tangent to circle).
That means FED + DES = 90deg
We also know that DSE = 120deg
And because the SED is an isosceles triangle, we know that angle measures for DES and SDE are equal.
DES = (180deg - 120deg) / 2 = 30deg
FED = 90deg - DES = 90deg - 30deg = 60deg
7x - 10 = 60
7x = 70
x = 10
11 3/4 - 5 1/2= 11.75-5.50 = 6.25 more cups of flour