Answer:
38.6%
Step-by-step explanation:
Answer:
a) rCn = 1176
b) 2352
Step-by-step explanation:
a)Each committee should be formed with 3 members ( no two members could be of the same state) then
Let´s fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then
rCn = n! / (n - r )! *r!
rCn = 49!/ (49 - 2)!*2!
rCn = 49*48*47! / 47!*2!
rCn = 49*48 /2
rCn = 1176
So we can choose in 1176 different ways a senator for a given state
b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.
1176*2 = 2352
Answer:
(1, 3)
Step-by-step explanation:
The first number of each pair is the x-coordinate, the horizontal location of the point.
The end points of the graphed line segment are (1, 3) and (-3, -2). It looks like the answer choices are intended to see if you can tell what order the coordinates are expressed in.
The appropriate choice is (1, 3), the upper right end point.
3√x+2 = √x+4
divide both sides by 3
√x+2 = √x+4 / 3
remove radical by squaring both sides
x+2 = x+4/9
x+2 = x/9 + 4/9 =
8x/9 = -14/9
8x*9 = -14*9=
72x = -126
x = -7/4
Answer: a. They can find the present value of the remaining 20 years worth of payments.
Step-by-step explanation:
The present value of the payments for the servicing of the loan is the amount of the loan that is still owed because the payments include both the interest and the principal repayments.
The Schmidts can therefore find out the amount they still owe by checking the present value of the remaining 20 years worth of payments.
As the payments are usually constant they can be treated as an annuity so using the monthly payment as the annuity, the interest rate as the discount rate and the 20 years ( 240 months) as the period, they should be able to find the present value of the loan.
