Assignment 1 – BD309 – Novita Khairunnisa

Pertanyaan:

KELOMPOK 

Aulia Khanza

Novita Khairunnisa

Nur Aulia Lindzani

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 E years 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:

  1. 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 L hours in which the cost of materials and parts is $K.
  2. 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, C, (in $) for buying x euros.
  3. 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.
  4. A car hire company charges $C a day together with an additional $c per mile. Work out the total charge, $X, 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)

(g) (−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 using a calculator, evaluate

(a) 5 × 2 − 13

(b) 5 × (1 − 4) 

(c) 1 − 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 × P × Q

(b) I × 8 (

c) 3 × x × y

(d) 4 × q × w × z

(e) b × b

(f) k × 3 × k

Status: 

100%/100%

Keterangan:

Saya sudah mengerjakan assignment dengan baik dan benar.

Bukti:

DOCS

1. Formula Gaji Pengacara

Formula total gaji (S):
S = 1.2N + 3000E + 1000(A – 21)

Kasus: A = 30, E = 5, N = 150,000
S = 1.2(150,000) + 3000(5) + 1000(30 – 21)
S = 180,000 + 15,000 + 9,000 = 204,000

Jawaban: $204,000

2. Formula Tiap Situasi

a) Plumber: C = 80 + 60L + K
b) Currency exchange: C = (x / 0.8) + 10
c) Training hours: H = 5a + 10b
d) Car hire: X = Cd + cm

Hitung Tanpa Kalkulator (Perkalian/Pembagian)

a) 10 × (−2) = (−20)
b) (−1) × (−3) = 3
c) (−8) ÷ 2 = (−4)
d) (−5) ÷ (−5) = 1
e) 24 ÷ (−2) = (−12)
f) (−10) × (−5) = 50
g) (−6) × 5 × (−1) = 30

3) Hitung Tanpa Kalkulator (Penjumlahan/Pengurangan)

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 − 43 = (−31)
j) 2 + 6 − 10 = (−2)

4) Hitung Tanpa Kalkulator (Campuran Operasi)

a) 5 × 2 − 13 = (−3)
b) 5 × (1 − 4) = (−15)
c) 1 − 6 × 7 = (−41)
d) −5 + 6 ÷ 3 = (−3)
e) 2 × (−3)^2 = 18
f) −10 + 2^2 = (−6)
g) (−2)^2 − 5 × 6 + 1 = (−25)

5) Sederhanakan Aljabar

a) 2 × P × Q = 2PQ
b) I × 8 = 8I
c) 3 × x × y = 3xy
d) 4 × q × w × z = 4qwz
e) b × b = b^2
f) k × 3 × k = 3k^2

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