Answer:
$276
Step-by-step explanation:
Given that
Last week Lola made 32kg of different kind of bun
The quarter of the bun sold at $9 per kilo
And, the rest would be sold at $8.5 per kilo
We need to find out the amount that should be collected in total from the sale
A quarter of the 32 buns is 8 buns
And, the half of 32 is 16, and half of 16 is 8.
Now If he sold those 8 buns for $9
So, the total amount is
= (8 buns) ($9)
= $72
Now the remaining buns left is
= 32 - 8
= 24 buns
It would be sold at $8.50
So, the total amount is
= (24) ($8.50)
= $204
Now the final amount is
= $204 + $72
= $276
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Formula
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Volume of the paint = πr²h
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Find Volume of the paint in the bucket
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Volume of the paint = 3.14 x 3.5² x 8 = 307.72 in³
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Find the cost of the paint
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1 in³ = $0.05
307.88 in³ = $0.05 x 307.72
307.88 in³ = $15.39 (nearest hundredth)
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Answer: The paint cost $15.39
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B.Acute triangle
You have to square all three numbers which would be 100, 100, and 81. The next step is adding the two shortest sides, which would be 100 & 81. The sum of those two sides add up to 181. If the sum is greater than the 3rd side squared than it would be acute. If the sum and the third side squared were equal it would be a right triangle. If the 3rd side squared was greater than the sum of the two sides squared it would be obtuse
N > 2
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Answer:
0.8989
Step-by-step explanation:
Using the Newton's Raphson approximation formula.
Xn+1 = Xn - f(Xn)/f'(Xn)
Given f(x) = x³-2x+2
f'(x) = 3x²-2
If the initial value X1 = 2
X2 = X1 - f(X1)/f'(X1)
X2 = 2 - f(2)/f'(2)
f(2) = 2³-2(2)+2
f(2) = 8-4+2
f(2) = 6
f'(2) = 3(2)²-2
f'(2) = 10
X2 = 2- 6/10
X2 = 14/10
X2 = 1.4
X3 = X2 - f(X2)/f'(X2)
X3 = 1.4 - f(1.4)/f'(1.4)
f(1.4) = 1.4³-2(1.4)+2
f(1.4) = 2.744-2.8+2
f(1.4) = 1.944
f'(1.4) = 3(1.4)²-2
f'(1.4) = 3.880
X3 = 1.4- 1.944/3.880
X3 = 1.4 - 0.5010
X3 = 0.8989
Hence the value of X3 is 0.8989
