If you're working with complex numbers, then I'm sure you're comfortable with plotting them on a complex-plane ... real part of the number along the x-axis, and imaginary part of the number along the y-axis.
When you look at it that way, your two points are simply two points on the x-y plane:
4 - i ===> (4, -1)
-2 + 3i ===> (-2, 3) .
The distance between them is
D = √ (difference in 'x')² + (difference in 'y')²
= √ (6)² + (4)²
= √ (36 + 16)
= √ (52)
= 7.211 (rounded)
Step-by-step explanation:
<em>1st year</em>:
(1200 x 3.5 x 1) ÷ 100 = $42
<em>2nd year:</em>
(1242 x 3.5 x 1) ÷ 100= $43.47
<em>3rd year:</em>
(1285.47 x 3.5 x 1) ÷ 100= $44.99≈ $45
<em>4th year:</em>
(1330.47 x 3.5 x 1) ÷ 100= $46.56
Compound interest:
$(42 + 43.47 + 45 + 46.56)
=<u>$ 177.03</u>
The question is asking for the pattern of change within the given numbers. As you can see, the number decreases by 0.02 from left to right. Therefore, D is the correct answer. The whole number and tenths place remains constant as the hundredths place lowers by 2.
The answer would be 34/100 or 17/50 if reduced .
Answer:
k=3
Step-by-step explanation:
+ we note f(p)= 
+ Because of "p-1 is a factor of f(p)", that means f(p)= (p-1)* g(p)
Then we have f(1)= (1-1)*g(1)= 0* g(1)= 0
+ We replace p=1 in f(p) and we have:
f(1)=0
that means: 
then 1+1+1-k = 0, 3-k=0 or k=3
Hope that useful for you.
