Answer: 142506
Step-by-step explanation:
Given : The total number of choices for people in committee = 30
The number of people need to be chosen =5
Since , here order doesn't matter, so we use combination.
The combination of r things taking from n at a time is given by :-

Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-

Hence, the committee can be made in 142506 ways.
The answer is plus 4 because a positive plus a negative is a negative
It's annuity problem
To solve your question use the formula of the present value of annuity ordinary which is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value?
PMT yearly payments 18000
R interest rate 0.09
N time 20 years
So
Pv=18,000×((1−(1+0.09)^(−20))÷(0.09))
pv=164,313.82
Answer: radius of the largest circle is Zero.
Step-by-step explanation: A circle can't fit into an ellipse with such coordinate (3,0). What that coordinate means is that the ellipse lies along the x axis 3unit from the origin along the x axis and 0 unit from the origin along the y axis. At which no circle can fit in.
Moreso, the the coordinates at which the circle intercepts the ellipse as to be uniform not (3,0).
A circle as a constant radii coordinate on both axis.
I believe you can now see why my answer is Zero.