Answer:
(-3,-1)
Step-by-step explanation:
![M=(\frac{x1+x2}{2},\frac{y1+y2}{2} )](https://tex.z-dn.net/?f=M%3D%28%5Cfrac%7Bx1%2Bx2%7D%7B2%7D%2C%5Cfrac%7By1%2By2%7D%7B2%7D%20%29)
![M=(\frac{-5-1}{2},\frac{4-6}{2} )](https://tex.z-dn.net/?f=M%3D%28%5Cfrac%7B-5-1%7D%7B2%7D%2C%5Cfrac%7B4-6%7D%7B2%7D%20%20%29)
![M=(\frac{-6}{2},\frac{-2}{2} )](https://tex.z-dn.net/?f=M%3D%28%5Cfrac%7B-6%7D%7B2%7D%2C%5Cfrac%7B-2%7D%7B2%7D%20%29)
![M=(-3,-1)](https://tex.z-dn.net/?f=M%3D%28-3%2C-1%29)
Answer: 17.5 square yards
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Work Shown:
base = 5 yards
height = 7 yards
The base and height are always perpendicular to one another
area of triangle = 0.5*(base)*(height)
area of triangle = 0.5*(5)*(7)
area of triangle = 17.5 square yards
The other values aren't used. They're likely thrown in as a distraction.
The amount is $9,350 ,time in years: 4 and interest is 5 percent compounded semiannually.
Use the formula.
![A=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Here n =2 .
Substitute the values,
![9350=P(1+\frac{5}{100\times2})^{2\times4}](https://tex.z-dn.net/?f=9350%3DP%281%2B%5Cfrac%7B5%7D%7B100%5Ctimes2%7D%29%5E%7B2%5Ctimes4%7D)
![9350=P(1+0.025)^8](https://tex.z-dn.net/?f=9350%3DP%281%2B0.025%29%5E8)
![9350=P(1.025)^8](https://tex.z-dn.net/?f=9350%3DP%281.025%29%5E8)
![P=\frac{9350}{1.2184}=7673.98\text{dollar}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B9350%7D%7B1.2184%7D%3D7673.98%5Ctext%7Bdollar%7D)
Hence the present value is 7673.98 dollar.
Answer:
I attached the answers :)
Step-by-step explanation:
hope this helps :)
(Its a bit messy becuz i used a mouse to write, sry about that)