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).
50% of 28 is 14 so 28+14= 42
<span>If you plot these points, you can probably see where the missing square corner is.
But you might also notice that a square's sides are equal length. Between the first two coordinate pairs, the only thing that changes is the y value, from 5 to 2, or a change of 3. Between the 2nd two coordinate pairs, only the x value changes, from -5 to -2, or a change of 3. So it looks like the sides are 3 units long.
The fourth coordinate should be 3 units away on the x coordinate from one "neighbor" and 3 units away on the y coordinate from its other neighbor. But it really would help to sketch it out so you don't get mixed up.
</span><span>(-2, 5)</span>
Answer:
85°
Step-by-step explanation:
The triangle pictured is an isosceles triangle because side KJ = LJ.
this means that ∠JKL = ∠JLK = x°
Also recall that all interior angles of a triangle add up to 180°
Hence,
180° = ∠JKL + ∠JLK + ∠KJL
180 = x + x + 10
180 = 2x + 10 (subtract 10 from both sides and rearrange)
2x = 180 - 10
2x = 170 (divide both sides by 2)
x = 170 / 2 = 85°
Answer:
-9x - y
Step-by-step explanation:
Combine like terms. That is, combine all the x terms and then, separately, combine all the y terms.
2x - 10y + 9y - 11x = -9x - y (answer)
