Pertanyaan
1) A law firm seeks to recruit top-quality experienced lawyers. The total package offered is the sum of three separate components: a basic salary which is 1.2 times the candidate’s current salary together with an additional $3000 for each year worked as a qualified lawyer and an extra $1000 for every year that they are over the age of 21.
Work out a formula that could be used to calculate the total salary, S, offered to someone who is A years of age, has Eyears of relevant experience and who currently earns $N. Hence work out the salary offered to someone who is 30 years old with five years’ experience and who currently earns $150 000.
2) Write down a formula for each situation:
a) A plumber has a fixed call-out charge of $80 and has an hourly rate of $60. Work out the total charge, C, for a job that takes 2 hours in which the cost of materials and parts is SK.
a) An airport currency exchange booth charges a fixed fee of $10 on all transactions and offers an exchange rate of 1 dollar to 0.8 euros. Work out the total charge, С, (in $) for buying x euros.
b) A firm provides 5 hours of in-house training for each of its semi-skilled workers and 10 hours of training for each of its skilled workers, Work out the total number of hours, H, if the firm employs a semi-skilled and b skilled workers.
c) A car hire company charges $C a day together with an additional Sc per mile. Work out the total charge, SX, for hiring a car for d’ days and travelling m miles during that time.
Without using a calculator, evaluate.
(a) 10(- 2)(b)(- 1)(- 3)(c)(- 8) / 2 * (d)(- 5) / (- 5)
(e) 24 / (- 2) * (f)(- 10)(- 5)(f)(- 6) * 5(- 1)
3) Without using a calculator, evaluate
(a) 5 – 6(b) – 1 – 2(c) * 6 – 17(d) – 7 + 23
(e) – 7 – (- 6)(f) – 4 – 9(g) * 7 – (- 4)(h) – 9 – (- 9)
(i) 12 – 43(j) * 2 + 6 – 10
4) Without evaluate
(a) 5 * 2 – 13(b) * 5(1 – 4)
(c) – 6 * 7(d) – 5 + 6/3 * (e) * 2(- 3) * 2(f) – 10 + 22
(g) (- 2) * 2 – 5 * 6 + 1(j)
5) Simplify each of the following algebraic expressions:
(a) 2 x Px Q (b) /x8 (c) 3 xxx y
(d) 4 x qx wx z (e) bx b (f) kx 3 x k
Status: 100%
Keterangan: saya sudah mengerjakan tugas ini dengan benar
Bukti:
1. Formula:
S = 1.2N + 3000E + 1000(A-21)
S = 20
4000
2. a) Plumber:
C = 80 + 60 × 2 + SK
= 200 + SK
b) Currency:
C = 10 + pi/0.8 = 10 + 1.25 pi
c) Training:
H = 5a + 10b
d) Car Here: SX = Cd + cm
3. a) 5-6 = 1
b) -1 -2 = -3
c) 6 – 17 = 11
d) -7 + 23 = 16
e) – 7 – ( – 6 ) = -1
f) -4 – 9 = – 13
g) 7 – ( – 4 ) = 11
h) – 9 – ( – 9 ) = 0
i) 12 – 42 = – 31
j) 2+6 – 10 = -2
4. a) 5 × 2 – 13 = -3
b) 5(1-4) = – 15
c) -6 × 7 = -42
d) -5 + 6/3 = -3
e) 2( -3 ) × 2 = – 12
f) -10 + 22 = 12
g) (-2) × 2 -5 × 6 × 1 = 21
5. Simplify
a) 2 × P × Q = 2PQ
b) x2
c) 3×2 y
d) 4 qwxz
e) b × b = b2
f) k × 3 × k = 3k2