Pertanyaan :
Status: 100%
Keterangan: Sudah mengerjakan dengan semaksimal mungkin.
Bukti:
1) Law firm salary formula
Components:
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Basic salary = 1.2N1.2N
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Experience bonus = 3000E3000E
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Age bonus = 1000(A−21)1000(A – 21)
Formula
S=1.2N+3000E+1000(A−21)\boxed{S = 1.2N + 3000E + 1000(A – 21)}
Given
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A=30A = 30
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E=5E = 5
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N=150,000N = 150{,}000
S=1.2(150,000)+3000(5)+1000(30−21)S = 1.2(150{,}000) + 3000(5) + 1000(30 – 21) S=180,000+15,000+9,000S = 180{,}000 + 15{,}000 + 9{,}000 S=$204,000\boxed{S = \$204{,}000}
2) Writing formulas
(a) Plumber
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Call-out fee: $80
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Hourly rate: $60
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Materials: $K
C=80+60L+K\boxed{C = 80 + 60L + K}
(b) Currency exchange
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Fixed fee: $10
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Exchange rate: $1 → €0.8
To buy xx euros:
C=10+x0.8\boxed{C = 10 + \frac{x}{0.8}}
(c) Worker training
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Semi-skilled: 5 hours each
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Skilled: 10 hours each
H=5a+10b\boxed{H = 5a + 10b}
(d) Car hire
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Daily charge: $C
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Per mile: $c
X=Cd+cm\boxed{X = Cd + cm}
Integer arithmetic (no calculator)
(a) 10×(−2)=−2010 \times (-2) = -20
(b) (−1)×(−3)=3(-1) \times (-3) = 3
(c) (−8)÷2=−4(-8) \div 2 = -4
(d) (−5)÷(−5)=1(-5) \div (-5) = 1
(e) 24÷(−2)=−1224 \div (-2) = -12
(f) (−10)×(−5)=50(-10) \times (-5) = 50
(g) (−6)×5×(−1)=30(-6) \times 5 \times (-1) = 30
3) Integer subtraction and addition
(a) 5−6=−15 – 6 = -1
(b) −1−2=−3-1 – 2 = -3
(c) 6−17=−116 – 17 = -11
(d) −7+23=16-7 + 23 = 16
(e) −7−(−6)=−1-7 – (-6) = -1
(f) −4−9=−13-4 – 9 = -13
(g) 7−(−4)=117 – (-4) = 11
(h) −9−(−9)=0-9 – (-9) = 0
(i) 12−43=−3112 – 43 = -31
(j) 2+6−10=−22 + 6 – 10 = -2
4) Mixed operations
(Assuming standard order of operations; exponents written as squares)
(a) 5×2−13=−35 \times 2 – 13 = -3
(b) 5×(1−4)=−155 \times (1 – 4) = -15
(c) 1−6×7=−411 – 6 \times 7 = -41
(d) −5+6÷3=−3-5 + 6 \div 3 = -3
(e) 2×(−3)2=182 \times (-3)^2 = 18
(f) −10+22=−6-10 + 2^2 = -6
(g) (−2)2−5×6+1=−25(-2)^2 – 5 \times 6 + 1 = -25
(Part (j) was not provided.)
5) Simplifying algebraic expressions
(a) 2×P×Q=2PQ2 \times P \times Q = \boxed{2PQ}
(b) I×8=8II \times 8 = \boxed{8I}
(c) 3×x×y=3xy3 \times x \times y = \boxed{3xy}
(d) 4×q×w×z=4qwz4 \times q \times w \times z = \boxed{4qwz}
(e) b×b=b2b \times b = \boxed{b^2}
(f) k×3×k=3k2k \times 3 \times k = \boxed{3k^2}