Assigment 1-BD309-Ajeng putri valentie-2481416732

Assignment 1 tugas matematika bisnis 

Soal:

 

• 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.

 

• Write down a formula for each situation:

60. 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.

1. 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.

1. 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.

1. 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) (f) (−6) × 5 × (−1)

 

• 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

 

• 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)

 

• 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%
KETERANGAN : Saya telah mengerjakan tugas ini dengan baik dan benar
BUKTI :

1)

Formula total gaji:

$$S=(1.2N)+(3000E)+(1000(A-21))$$

Dimana:

• $A$ = umur

• $E$ = tahun pengalaman

• $N$ = gaji sekarang

Kasus: $A=30$, $E=5$, $N=150000$

$$S=(1.2\times 150000)+(3000\times 5)+(1000\times (30-21))$$ $$S=180000+15000+9000$$ $$S=204000$$

Jawaban: $204,000

2)

a) Tukang ledeng:

$$C=80+60L+K$$

b) Money changer:

$$C=10+0.8x$$

c) Training:

$$H=5a+10b$$

d) Sewa mobil:

$$X=4d+cm$$

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) $12-43=-31$
(j) $2+6-10=-2$

4)

(a) $5\times 2-13=-3$
(b) $5\times (1-4)=-15$
(c) $1-6\times 7=-41$
(d) $-5+6÷3=-3$
(e) 2×(−3)2=182 \times (-3)^2 = 182×(−3)2=18
(f) $-10+22=12$
(g) (−2)2−5×6+1=−27(-2)^2 – 5 \times 6 + 1 = -27(−2)2−5×6+1=−27

5) 

(a) $2\times P\times Q=2PQ$
(b) $x\times 8=8x$
(c) 3×x×x×y=3x2y3 \times x \times x \times y = 3x^2y3×x×x×y=3x2y
(d) $4\times q\times w\times z=4qwz$
(e) b×b=b2b \times b = b^2b×b=b2
(f) k×3×k=3k2k \times 3 \times k = 3k^2k×3×k=3k2