Add these together.
You get -15y=-45
So y=3
Now plug in to first equation.
8x-8(3)=-16
8x-24=-16
8x=8 so x=1
Check both values in second equation.
-8(1)-7(3)=
-8-21=-29
It works...so x=1, y=3
There are 3,300 different ways to select the committee.
First, we need to determine the total number of ways the 6 members can be selected.
For the chair and vice chair, it would be 5 x 4 = 20, but then that has to be divided by 2. (Because the order doesn't matter)
20 / 2 = 10
For the rest, it would be 11 x 10 x 9 x 8 = 7920, but again divide it by 4! because the order doesn't matter.
7920 / 24 = 330
To find the total ways for both, multiply 10 by 330 to get 3300.
The future worth (F) of the current investment (P) given that the interest (i) is compounded can be calculated by the formula,
F = P x (1 + i)^n
where n is the number of years. Substituting the given values to solve for P,
1000 = P x (1 + 0.115)^6
The value of P is approximately $520.42.
Answer:
3/4 * 650 = 487.5
Bad question. how can half a person not order pie?