Answer:
d=45t
Step-by-step explanation:
to find speed you divide the distance by the time. 67.5/1 1/2 = 45
Plug i=105, P=700, r=0.05 in the equation i=Prt
105 = 700*0.05*t
105 = 35*t
divide both sides by 35
105/35 = 35*t/35
3 = t
t = 3
B
25,000 x (0.95)*8 means the interest changes every year and the interest is calculated of the annual rate
![\cos x=\sin x](https://tex.z-dn.net/?f=%5Ccos%20x%3D%5Csin%20x)
When
![\cos x\neq0](https://tex.z-dn.net/?f=%5Ccos%20x%5Cneq0)
, you can divide through by it on both sides to get
![\dfrac{\cos x}{\cos x}=\dfrac{\sin x}{\cos x}\iff 1=\tan x](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ccos%20x%7D%7B%5Ccos%20x%7D%3D%5Cdfrac%7B%5Csin%20x%7D%7B%5Ccos%20x%7D%5Ciff%201%3D%5Ctan%20x)
and this occurs for
![x=\dfrac\pi4,\dfrac{5\pi}4](https://tex.z-dn.net/?f=x%3D%5Cdfrac%5Cpi4%2C%5Cdfrac%7B5%5Cpi%7D4)
.
The solution to the equation of the indicated variable is:
![\mathbf{e = \dfrac{d}{3f^2}}](https://tex.z-dn.net/?f=%5Cmathbf%7Be%20%3D%20%5Cdfrac%7Bd%7D%7B3f%5E2%7D%7D)
In an equation, solving for a variable implies that we make that variable we are to solve the subject of the formula and relate it to the rest of the variables present in the equation.
Given that:
d = 3ef^2
The first step would be to divide both sides by e:
![\mathbf{\dfrac{d}{e} = \dfrac{3ef^2}{e}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7Bd%7D%7Be%7D%20%3D%20%5Cdfrac%7B3ef%5E2%7D%7Be%7D%7D)
![\mathbf{\dfrac{d}{e} = 3f^2}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7Bd%7D%7Be%7D%20%3D%203f%5E2%7D%7D)
![\mathbf{\dfrac{1}{e} = \dfrac{3f^2}{d}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7B1%7D%7Be%7D%20%3D%20%5Cdfrac%7B3f%5E2%7D%7Bd%7D%7D)
![\mathbf{e^{-1} = \dfrac{3f^2}{d}}](https://tex.z-dn.net/?f=%5Cmathbf%7Be%5E%7B-1%7D%20%3D%20%5Cdfrac%7B3f%5E2%7D%7Bd%7D%7D)
![\mathbf{e^{-1\times (-1)} =\Big( \dfrac{3f^2}{d}\Big)^{-1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Be%5E%7B-1%5Ctimes%20%28-1%29%7D%20%3D%5CBig%28%20%5Cdfrac%7B3f%5E2%7D%7Bd%7D%5CBig%29%5E%7B-1%7D%7D)
![\mathbf{e = \dfrac{d}{3f^2}}](https://tex.z-dn.net/?f=%5Cmathbf%7Be%20%3D%20%5Cdfrac%7Bd%7D%7B3f%5E2%7D%7D)
Learn more about variables here:
brainly.com/question/3766847