<h3>
Answer: Choice D. 2, 6, 12, 20</h3>
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Work Shown:
Plug in n = 1
c(n) = n(n+1)
c(1) = 1(1+1)
c(1) = 1(2)
c(1) = 2
The first term is 2
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Plug in n = 2
c(n) = n(n+1)
c(2) = 2(2+1)
c(2) = 2(3)
c(2) = 6
The second term is 6
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Plug in n = 3
c(n) = n(n+1)
c(3) = 3(3+1)
c(3) = 3(4)
c(3) = 12
The third term is 12
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Plug in n = 4
c(n) = n(n+1)
c(4) = 4(4+1)
c(4) = 4(5)
c(4) = 20
The fourth term is 20
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The first four terms are: 2, 6, 12, 20
Answer:
166.32
Step-by-step explanation:
14%+23%=37% 100-37=63
100%=264
63%=x
63x264=16632/100=166.32
Answer:
86 m²
Step-by-step explanation:
It can be convenient to think of the figure as an 8×12 rectangle with a 4×5 triangle cut off the corner.
The rectangle area is the product of its length and width:
(12 m)×(8 m) = 96 m²
The triangle area is half the product of its base and height:
(1/2)(4 m)(5 m) = 10 m²
Then the area of the figure is the difference of these:
96 m² -10 m² = 86 m²
PART A
Coefficient
Coefficient h is 7.50
Coefficient s is 0.20
Variable
h and s
Constant
40
PART B
7.50h + 0.20s + 40
= 7.50(25) + 0.20(300) + 40
= 187.5 + 60 + 40
= 287.5
She earns $287.5
PART C
Yes, the coefficient of h would change to 9, the rests are still the same. Because she's no longer receive 7.50 per hour, and start earning 9 per hour, so the coefficient should change.
The expression would be
9h + 0.20s + 40
