1) add, equal
2) multiply, equal
3) subtract, equal
Answer:
r = p(-b/a)
Step-by-step explanation:
Let p(x) = q(x)(ax + b) + r(x) where q(x) is the quotient when p(x) is divided by ax + b and r(x) is the remainder.
Since ax + b is a first degree polynomial, r(x) is one power less than ax + b is is just a constant, r.
So, p(x) = q(x)(ax + b) + r
Now, p(x) = r when q(x)(ax + b) = 0
since q(x) ≠ 0, ax + b = 0 ⇒ ax = -b ⇒ x = -b/a
⇒ p(x) = r when x = -b/a
So, r = p(-b/a)
So, the remainder when a polynomial function p(x) is divided by a first degree polynomial ax + b is p(-b/a)
Answer:
17.3 years
Step-by-step explanation:
For some annual interest rate r and time in years t, the initial account value is multiplied by e^(rt).
You want the multiplier e^(.04t) to have a value of 2:
2 = e^(.04t)
ln(2) = 0.04t . . . . . take natural logs
t = ln(2)/0.04 = 17.329 . . . . . divide by the coefficient of t
It will take about 17.3 years for the investment to double.
Answer:
180 / 210 = 0.85714286
0.85714286 X 100 = 85,714286
85,71%
Step-by-step explanation:
19,000-3,000-1,750=14,250.
the answer is 14,250.00
