Answer:
The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
Step-by-step explanation:
In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is
(a + bi) + (c + di) = (a + c) + (b + d)i
Let us use this fact to solve our question
∵ The complex numbers are (8 - 4i) and (-2 + 7i)
∴ Their sum = (8 - 4i) + (-2 + 7i)
∵ The real parts are 8 and -2
∵ 8 + -2 = 8 - 2 = 6
∴ The sum of the real parts is 6
∵ The imaginary parts are -4i and 7i
∵ -4i + 7i = 3i
∴ The sum of the the imaginary parts is 3i
∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i
∴ (8 - 4i) + (-2 + 7i) = 6 + 3i
∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
Answer:
The population of town after 1 year is 25,750 .
Step-by-step explanation:
Given as :
The rate of increase in the population of town each year = 3 %
The initial population of town = 25,000
Let the population of town after one year = x
So,
The population after n year = initial population × 
Or, The population after 1 year = 25,000 × 
Or, The population after 1 year = 25,000 × 
Or, The population after 1 year = 25,000 × 1.03
∴ The population after 1 year = 25,750
Hence The population of town after 1 year is 25,750 . Answer
A.
Circumference = π * diameter or
π * 2*radius (diameter = 2 * radius).
So you would divide by π to get the diameter, then divide by 2 to get the radius. So A.
Answer:
14
Step-by-step explanation:
Given that Steve invests in a circus production. The cost includes an overhead of $84,000, plus production costs of $2000 per performance. A sold-out performance brings in $8000.
Sales per performance =8000
Production cost per performance =2000
Contribution per performance = 
Overhead costs = 84000
Break even units = overhead cost/contribution per performance
= 
14 performances should be done to break even