Use Hooke's law... (just kidding)
Break down each force vector into horizontal and vertical components.
![\vec F_1=(1000\,\mathrm N)(\cos30^\circ\,\vec x+\sin30^\circ\,\vec y)\approx(866.025\,\mathrm N)\,\vec x+(500\,\mathrm N)\,\vec y](https://tex.z-dn.net/?f=%5Cvec%20F_1%3D%281000%5C%2C%5Cmathrm%20N%29%28%5Ccos30%5E%5Ccirc%5C%2C%5Cvec%20x%2B%5Csin30%5E%5Ccirc%5C%2C%5Cvec%20y%29%5Capprox%28866.025%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20x%2B%28500%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20y)
![\vec F_2=(1500\,\mathrm N)(\cos160^\circ\,\vec x+\sin160^\circ\,\vec y)\approx(-1409.54\,\mathrm N)\,\vec x+(513.03\,\mathrm N)\,\vec y](https://tex.z-dn.net/?f=%5Cvec%20F_2%3D%281500%5C%2C%5Cmathrm%20N%29%28%5Ccos160%5E%5Ccirc%5C%2C%5Cvec%20x%2B%5Csin160%5E%5Ccirc%5C%2C%5Cvec%20y%29%5Capprox%28-1409.54%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20x%2B%28513.03%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20y)
![\vec F_3=(750\,\mathrm N)(\cos195^\circ\,\vec x+\sin195^\circ\,\vec y)\approx(-724.444\,\mathrm N)\,\vec x+(-194.114\,\mathrm N)\,\vec y](https://tex.z-dn.net/?f=%5Cvec%20F_3%3D%28750%5C%2C%5Cmathrm%20N%29%28%5Ccos195%5E%5Ccirc%5C%2C%5Cvec%20x%2B%5Csin195%5E%5Ccirc%5C%2C%5Cvec%20y%29%5Capprox%28-724.444%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20x%2B%28-194.114%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20y)
The resultant force is the sum of these vectors,
![\vec F=\displaystyle\sum_{i=1}^3\vec F_i\approx(-1267.96\,\mathrm N)\,\vec x+(818.916\,\mathrm N)\,\vec y](https://tex.z-dn.net/?f=%5Cvec%20F%3D%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5E3%5Cvec%20F_i%5Capprox%28-1267.96%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20x%2B%28818.916%5C%2C%5Cmathrm%20N%29%5C%2C%5Cvec%20y)
and has magnitude
![|\vec F|\approx\sqrt{(-1267.96\,\mathrm N)^2+(818.916\,\mathrm N)^2}\approx1509.42\,\mathrm N](https://tex.z-dn.net/?f=%7C%5Cvec%20F%7C%5Capprox%5Csqrt%7B%28-1267.96%5C%2C%5Cmathrm%20N%29%5E2%2B%28818.916%5C%2C%5Cmathrm%20N%29%5E2%7D%5Capprox1509.42%5C%2C%5Cmathrm%20N)
The closest answer is D.
Step-by-step explanation:
Your maths problem
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Not enough information- the coupon will only be worth 24% after tax though.
Answer:
y=-1x+3
y-2=3(x-1)
Step-by-step explanation:
Slope: -1
y-intercept: 3
Answer:
The net worth of a person is the difference between a person's assets (non-financial and financial) that he/she owns and the debt that person owes.
Value of Assets - Debt and liabilities = Net Worth