Answer:
x²+11x+28
Step-by-step explanation:
(f - g) (x) = f(x) - g(x)
x² + 12x + 32 - (x + 4) = x² + 11x + 28
Answer:
k = -18
Step-by-step explanation:
If x-3 is a factor, what this means is that if we substitute;
x = 3 into the equation, we should get 0
This is from the factor theorem
Thus ;
P(3) = 0 = 2(3)^3 -5(3)^2 + 3(3) + k
0 = 54 - 45 + 9 + k
k + 18 = 0
k = -18
Answer:
1287
Step-by-step explanation:
Number of people in elevator , n = 8
Number of floors, r = 6
Since they all look alike, arrangement doesn't matter, the we use combination :
(n+r-1 r - 1) = (8+6-1 C 6-1) = 13C5
Recall:
nCr = n! / (n-r)!r!
13C5 = 13! / (13-5)!5!
13C5 = 13*12*11*10*9 / 5*4*3*2*1
= 1287
Answer:
Ordinary annuity
Step-by-step explanation:
Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.
To find : What type of annuity is this?
Solution :
Annuity is the form of insurance in which some of the money is paid each year to secure for future.
There are two types of annuity:
Ordinary annuity - In this annuity the payment is made at the end of each period over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.
Annuity due - is the opposite of ordinary annuity as in this the payment is made at the beginning of each period.
In the given situation the annuity is ordinary annuity because the investment is done each year for 5 years.
