The
amount of interest earned from a specific investment can be calculated by
multiplying the principal amount with the decimal equivalent of the given
percentage or interest rate. That is,
<span> I = P x i</span>
Substituting
the known values,
<span> I = ($580)(0.615)</span>
<span> I = $356.7</span>
<span>Answer:
$356.7</span>
First you plug in the data to the formula. So it will be 2(1/3+1/2). You then want to add the fractions together but must first find the common denominator which will be 6. So it is 2(2/6+3/6). The fractions then add up to be 5/6. So all you have to do is multiply it by 2 to get 5/3 which simplifies to 1 2/3 so it is D.
Simply solve for x to find the answer.
Answer
![22\sqrt{2}](https://tex.z-dn.net/?f=22%5Csqrt%7B2%7D)
Step-by-step explanation:
First we gave a name to the side that is common for both triangles, can be Y for example.
Using trigonometric functions we can make a relationship between the two angles that we have and the magnitud of the side.
, Because sin(x)= op/hip
, Because con(x)=ad/hip
Having this equations, we can solve the system and find x
![Y=\frac{11}{sin(45)} \\Y=cos(60)*x](https://tex.z-dn.net/?f=Y%3D%5Cfrac%7B11%7D%7Bsin%2845%29%7D%20%5C%5CY%3Dcos%2860%29%2Ax)
we equal Y and solve
![\frac{11}{sin(45)}=cos(60)*x\\ x=\frac{11}{sin(45)*cos(60)} \\x=\frac{11}{\frac{\sqrt{2} }{2} *\frac{1}{2} } \\x=\frac{11}{\frac{\sqrt{2} }{4} } \\x=\frac{44}{\sqrt{2} }\\](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7Bsin%2845%29%7D%3Dcos%2860%29%2Ax%5C%5C%20x%3D%5Cfrac%7B11%7D%7Bsin%2845%29%2Acos%2860%29%7D%20%5C%5Cx%3D%5Cfrac%7B11%7D%7B%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D%20%2A%5Cfrac%7B1%7D%7B2%7D%20%7D%20%5C%5Cx%3D%5Cfrac%7B11%7D%7B%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B4%7D%20%7D%20%5C%5Cx%3D%5Cfrac%7B44%7D%7B%5Csqrt%7B2%7D%20%7D%5C%5C)
Then we rationalize
![x=22\sqrt{2}](https://tex.z-dn.net/?f=x%3D22%5Csqrt%7B2%7D)
Hope you like it!
This is a parallelogram! its kind of like a rectangle but its not... its got angled sides and stuff,. <span />