Answer:
= - 12 + 316 i
Step-by-step explanation:
Given that -
z = 3 + i
<em>
= 
</em>
<em> = 9 + 
+ 6 i</em>
<em> = 9 - 1 + 6 i</em>
= 8 + 6 i
<em>
= × z</em>
<em> = ( 8 + 6 i ) × ( 3 + i )</em>
<em> = 24 + 8 i + 18 i + 6 i²</em>
<em> = 24 + 26 i - 6</em>
= 18 + 26 i
= ×
<em> = ( 8 + 6 i ) × ( 18 + 26 i )</em>
<em> = 144 + 208 i + 108 i + 156 i²</em>
<em> = 144 + 316 i -156</em>
= - 12 + 316 i
Part 1
Total income per month = $3,500+$368.49 = $3,868.49
Total deductions = 7.65%+10.75%+8.35% = 26.75% = 0.2675
Net income = Total income - Deductions = Total deductions (1-0.2675) = $3,868.49 (1-0.2675) = $2,833.67
Part 2
Fixed expenses = $1,035.65 which is 36% of realized income.
Then, if realized income is 100%;
$1,035.65 ------------------ 36%
$ Realized income ----- 100%
Therefore,
Realized income = 1,035.65*100/36 = $2,876.81
Answer:
It's B I just did it
Step-by-step explanation:
Answer:
y = 1/2x + 5
Step-by-step explanation:
The line has a slope of one half. If you look at the dots made, take a look at the dot on the y-axis. Then, if you move up one space from that point, and move two spaces to the right of the point, you reach the second dot. This determines the slope which would be written as 1/2x. Then, if you look back to where the line passes through the y axis, you'll see it landed on positive five. This means 5 will be added to the end of the equation. So, y equals the slope plus the y-intercept. y = 1/2x + 5
Answer:
zero goats and 120 Ilamas to get profit of $15,120
Step-by-step explanation:
Goats: G
Ilamas: l
Explicit constraints:
2G + 5l ≤ 400
100G+ 80l≤ 13,200
Implicit constraints
G≥0
I≥0
P= 84G+ 126l
See attachment for optimal area
substituting coordinats of optimal region in profit equation to get profit
When G= 132, l=0
P=84(132) + 126(0)
P=11,088
When G=0, l=120
P=84(0)+ 126(120)
P = 15120
When G= 100, l=40
P=84(100)+126(40)
P=13440
