Set of equations that can be used to calculate rate for each plumber:
2A+8B+8C = 1,400 --- (1)
4A+7B+10C = 1,660 --- (2)
3A+9B+9C = 1,660 --- (3)
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2*(1) - (2)
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4A+16B+16C = 2,800
4A+7B+10C = 1,660 -
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9B+6C = 1,140 --- (4)
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3(2) -4(3)
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12A+21B+30C = 4,980
12A+36B+36C = 6,600 -
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-15B-6C = -1,620 --- (5)
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(4) + (5)
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9B+6C = 1140
-15B-6C = -1620 +
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-6B = -480 => 6B = 480 => B = 480/6 = 80
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Using (4), 9(80)+6C = 1140
720+6C = 1140 => 6C = 1140-720 = 420 => C = 420/6 = 70
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Using (1), 2A+8(80)+8(70) = 1400
2A+640+560 =1400 => 2A = 1400-640-560 = 200 => A = 200/2 = 100
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The rates are:
A = $100
B = $80
C = $70
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On Thursday, number of calls: A = 4 hrs, B = 6 hrs, C = 3 hrs
Money earned = 4*100+6*80+3*70 = $1,090
Answer:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = 
phase shift = 
Vertical shift = -2
Angular velocity , w = 
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = 
w = 2
Phase shift = 
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2
Answer:
x-intercept equals 10
interpretation is that, after 10 hours, all of the snow will be melted
Step-by-step explanation:
<span> Position Value of Term. 1. 4. </span>2<span>. 8. 3. </span>12<span>. 4. 16. 5. </span>20<span>. What expression shows the ... 1 1. </span>2<span> -5. </span>3 1<span>. 4 -5. 5 1. </span>B). n an<span>. 1 </span>2<span>. </span>2<span> 8. 3 14. 4 </span>20<span>. 5 26. </span>C). n an<span>. 1 </span>2<span>. </span>2<span> -</span>2<span>. 3 -10. 4 -26 ... </span>Generalize<span>the </span>pattern<span> by </span>finding<span> an explicit formula for the </span>nth term<span>. A) </span>n2<span> + 5. </span>B<span>). 3n + 1. </span>C<span>). </span>2n<span> + 5. </span>D). (n<span> + </span><span>1)</span>
Answer:8
Step-by-step explanation: it cannot be 2, 6, or 5 because they are all less than 7.