Answer:
Option C. $30
Step-by-step explanation:
As per question buyers are willing to pay $135 per tuning. If David demands more than this amount producer will not choose David to tune.
As we can see on first week David is willing to tune the first piano for $115,
So surplus for producer will be
135 - 115 = $20
Surplus for second week for producer will be
135 - 125 = $10
Since David is willing to tune the third and fourth piano for $140 and $175 then the producer will not choose David for tuning.
Therefore, total surplus for the producer will be $20 + $10 = $30
Option C. $30 is the correct option.
Answer:
(109x²+140xy+18xz+49y²+160yz+73z²) centimeters
Step-by-step explanation:
perimeter = sum of all sides
side A = (10x+7y)(10x+7y)
= 100x² +70xy +70xy +49y²
= (100x² +140xy +49y²) centimeters
side B = (3x+3z)(3x+3z)
= 9x² +9xz +9xz +9z²
= (9x² +18xz +9z²) centimeters
side C = (8z+10y)(8z+10y)
= 64z² +80yz +80yz +100y²
= (64z² +160yz +100y²) centimeters
Perimeter = 100x²+140xy+49y² + 9x²+18xz+9z² + 64z²+160yz+100y²
collect like terms
= 100x² +9x²+140xy+18xz+49y²+160yz+9z²+64z²
= (109x²+140xy+18xz+49y²+160yz+73z²) centimeters
Answer:
$5400
Step-by-step explanation:
Because, -25(12)^{2}+750(12)= $5400
Hope this helped :)
The perimeter of the larger octagon would be 238 units. This is because the given side is multiplied by 7, so if you do this to all sides and then add them up, you get 238. To check, you can divide 238 by 34 and get 7.
Step-by-step explanation:
15) 50 ÷ 2 = 25
17) Mean = 301, Mode = 40-50
(10+20) ÷ 2 = 15, (20+30) ÷ 2 = 25, (30+40) ÷ 2 = 35
(40+50) ÷ 2 = 45, (50+60) ÷ 2 = 55, (60+70) ÷ 2 = 65
(70+80) ÷ 2 = 75
• 15×4 = 60, 25×8 = 200, 35×10 = 350, 45×12 = 540
55×10 = 550, 65×4 = 260, 75×2 = 150
Mean = (60+200+350+540+550+260+150) ÷ 7
= 2110 ÷ 7
= 301.4285....
= 301
Mode : the highest frequency
