Answer:
Step-by-step explanation:
3(x-2y=1)
3x-6y=3
3x-6y = 3
3x-6y = 3
3x-6y = 3
-3x+6y=-3
0 = 0
x & y can be any value.
Answer:
The amount to be deposited now to provide for this trust is $119,392.16.
Step-by-step explanation:
This problem is based on ordinary annuity.
An ordinary annuity is a sequence of fixed payments made, every consecutive period, over a fixed interval.
The formula to compute ordinary annuity is:
![OA=P[\frac{q^{n}-1}{q^{n}(q-1)}]](https://tex.z-dn.net/?f=OA%3DP%5B%5Cfrac%7Bq%5E%7Bn%7D-1%7D%7Bq%5E%7Bn%7D%28q-1%29%7D%5D)
Here <em>qⁿ </em>is:
Compute the ordinary annuity as follows:
![OA=P[\frac{q^{n}-1}{q^{n}(q-1)}]=2000\times\frac{(1.01675)^{16}-1}{(1.01675)^{16}[1.01675-1]}=2000\times\frac{0.30445}{0.0051}=119392.16](https://tex.z-dn.net/?f=OA%3DP%5B%5Cfrac%7Bq%5E%7Bn%7D-1%7D%7Bq%5E%7Bn%7D%28q-1%29%7D%5D%3D2000%5Ctimes%5Cfrac%7B%281.01675%29%5E%7B16%7D-1%7D%7B%281.01675%29%5E%7B16%7D%5B1.01675-1%5D%7D%3D2000%5Ctimes%5Cfrac%7B0.30445%7D%7B0.0051%7D%3D119392.16)
Thus, the amount to be deposited now to provide for this trust is $119,392.16.
Step-by-step explanation:
The only face of the cube that has all the points C, F and G is the face CFGD on the right facing outwards.
Hence point D must be coplanar as it is on the same face.
C) you roll a number cube, then flip a coin
First you'll need two equations ( you can use any variables you want)
A= photo group 1
B= photo group 2
First equation:
A + B = 33
This is because the total number of photos from both groups is 33
Second equation:
4A = 7B
This is because the ratio is 4:7 so for every four photos in group A there must be 7 photons in group B.
Then take the first equation A + B = 33 and subtract B from both sides. Making the equation A = 33 - B
Then with that equation, substitute it in for equation 2 and it will look like this. 4(33-B) = 7B
Then distribute the 4 to the 33 and the -B making the equation 132 - 4B = 7B
Then add 4B to each side
Making the equation 132 = 11B
Then to get B by itself you must divide each side by 11 making the equation 132/11 = B which simplifies to 12 = B
Then plug in 12 for B in the first equation like this A + 12 = 33
Then subtract 12 on each side of the equation to isolate A so A = 21
So
A = 21
B = 12
