Answer:
Step-by-step explanation:
is given value in dollars of a stock in t months after it is purchased.
a) Substitute 1 for t

V(12) = 
b) Find derivative for V

c) When V(t) = 75

d) As t tends to infinity, exponent being in negative t tends to 0
So V tends to 42(1-0)+36 = 78
Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
The answer to your question is B
F(x) - g(x) = -2x^3 - 6x^2 + 9x
Because the factor would divide it into two