Let the given complex number
z = x + ix = 
We have to find the standard form of complex number.
Solution:
∴ x + iy = 
Rationalising numerator part of complex number, we get
x + iy = 
⇒ x + iy = 
Using the algebraic identity:
(a + b)(a - b) =
- 
⇒ x + iy = 
⇒ x + iy =
[ ∵
]
⇒ x + iy =
⇒ x + iy =
⇒ x + iy =
⇒ x + iy = 1 - i
Thus, the given complex number in standard form as "1 - i".
Answer:
P = $2448.89
P ~= $2,449
He need to deposit $2,449
Step-by-step explanation:
Given:
Interest rate r= 7% = 0.07
Number of years n = 3 years
Future value that should be meet A = $3000
We need to calculate the initial investment (Principal P). Using the compound interest formula:
A = P(1+r)^n
P = A/(1+r)^n
Substituting the values of A, r, n, we have;
P = 3000/(1+0.07)^3
P = $2448.89
P ~= $2,449
Answer:
.5(5I)+.5(2s)
Step-by-step explanation:
You are moving in the path of a parabola.
The conic section is parabolic - the street is the directrix and the mailbox is the focus.