I am assuming that parallelogram QRST is rectangle.
RS is the width and ST is the length.
RT is the diagonal. RU is half of the diagonal and TU is the other half of the diagonal.
Length = 12 ; Width = 10
to find the diagonal:
d = √(L²+W²
d = √ 12² + 100²
d = √ 144 + 100
d = √244
d = 15.62
RU + TU = 15.62
TU = 15.62 - 9.5
TU = 6.12
Answer:
c
Step-by-step explanation:
B is not true c is kind of incorrect but atuck with B
Answer:
40
Step-by-step explanation:
The formula for area is LxW, in this case it’s 5x8 which is 40.
Answer:
<em>Steve should place $6,250 in the 5-year CD and $18,750 in the corporate bond</em>
Step-by-step explanation:
<u>System of Equations</u>
We need to find how Steve will distribute his investments between two possible options: one of them will pay 5% per annum and the other will pay 9% per annum. We know Steve has $25,000 to invest and wants to have an overall annual rate of return of 8%.
Let's call x to the amount Steve will invest in the CD paying 5% per annum and y to the amount he will invest in a corporate bond paying 9% per annum.
The total investment is $25,000 which leads to the first equation
![x+y=25,000](https://tex.z-dn.net/?f=x%2By%3D25%2C000)
If x dollars are invested at 5%, then the interest return is 0.05x. Similarly, y dollars at 9% return 0.09y. The overall return is 8% on the total investment, thus
![0.05x+0.09y=0.08(x+y)](https://tex.z-dn.net/?f=0.05x%2B0.09y%3D0.08%28x%2By%29)
Rearranging:
![0.05x+0.09y=0.08x+0.08y](https://tex.z-dn.net/?f=0.05x%2B0.09y%3D0.08x%2B0.08y)
Simplifying
![0.01y=0.03x](https://tex.z-dn.net/?f=0.01y%3D0.03x)
Multiplying by 100
![y=3x](https://tex.z-dn.net/?f=y%3D3x)
Substituting in the first equation
![x+3x=25,000\\4x=25,000\\x=6,250](https://tex.z-dn.net/?f=x%2B3x%3D25%2C000%5C%5C4x%3D25%2C000%5C%5Cx%3D6%2C250)
And therefore
![y=25,000-6,250=18,750](https://tex.z-dn.net/?f=y%3D25%2C000-6%2C250%3D18%2C750)
Steve should place $6,250 in the 5-year CD and $18,750 in the corporate bond