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:
If she buys a boat without a down payment, then the affordable price is 5,700.
Step-by-step explanation:
Her bank charges 5% interest per year.
Let, payment = p,
p = 250(\frac{1-(1+\frac{0.05}{12})^-24}{\frac{0.05}{12}})
p = 5698.47
After round off p = 5700
Answer: -1t + 720
Step-by-step explanation:
He worked at both jobs for 90 hours for this month.
He worked t hours as a tutor which means that as a waiter he worked;
= 90 - t hours
The amount earned is therefore;
= 7t + (8 * (90 - t))
= 7t + 720 - 8t
= -1t + 720
10 feet is 120 inches. If 2 inches represents 120 inches, then the scale is 120/20 or 1inch scale = 60 inches = 5 feet
