Answer:
x=60°,120°
Step-by-step explanation:
4sinx=3cosecx
4sinx-3cosecx=0
4sinx-3/sinx=0
4sin²x-3=0
sin²x=3/4
sinx=√(3/4)
sinx=√3/2=sin60°,sin(180-60)
Answer:
Vertical distance between the valley and the summit = 8062.5 ft
Step-by-step explanation:
Distances above the sea level are denoted by positive notations and below the sea level by negative notation.
Summit of a mountain pass = 8050 (above the sea level)
Valley below the sea level = 12 and half ft = (-12.5) ft
Distance between the summit and the valley = 8050 - (-12.5)
= 8050 + 12.5
= 8062.5 ft
Therefore, Vertical distance = 8062.5 ft will be the answer.
It will hit the floor when h=0
-16t^2+14.8t+3.9=0
using the quadratic formula...
t=(-14.8±√468.64)/-32, since t>0
t ≈ 1.139 seconds
The amortization formua I'm familiar with assumes payments are made at the end of the period, so we'll use it for the part after the first payment has already been made.
.. A = 4,000
.. P = 500,000 -4000 = 496,000
.. i = 0.06
.. n = 12
.. t = to be determined
And the formula is
.. A = Pi/(n(1 -(1 +i/n)^(-nt))) . . . . . amortization formula with payments at the end of the period
.. 1 -(1 +i/n)^(-nt) = Pi/(An) . . . . . . rearrange to get "t" factor in numerator
.. 1 -Pi/(An) = (1 +i/n)^(-nt) . . . . . . get "t" factor by itself
.. log(1 -Pi/(An)) = -nt*log(1 +i/n) . . . . use logarithms to make the exponential equation into a linear equation
.. log(1 -Pi/(An))/(-n*log(1 +i/n)) = t . . . . divide by the coefficient of t
.. t = 16.1667 . . . . . years (after the first monthly withdrawal)
The plan will support withdrawals for 16 years and 3 months (195 payments).
Answer:
roberto is not smart
Step-by-step explanation:
34/45 is 0.75555555555 or 0.75 or .75
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