7 is a multiple of 14. 7 can divide 14 perfectly without any remainder
The answer is 16 19/20, or 16.95 in decimal form. The improper fraction is 339/20
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:
The length of JF = 3
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔHIJ,
- Point K is the centroid of the triangle.
We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median JF is split into two parts such that the longer part JK is 2 times the length of the smaller part KF.
In other words,
JF = KF + JK
Given KF = 1
Also, the longer part JK is 2 times the length of the smaller part KF.
i.e.
JK = 2 KF
JK = 2(1) ∵ KF = 1
JK = 2
Thus, substituting KF = 1 and JK = 2 in JF = KF + JK
JF = KF + JK
JF = 1 + 2
JF = 3
Therefore, the length of JF = 3
