BD309 Matematika Business
Pertanyaan :
Status : 100% Tercapai
Keterangan :
Saya sudah mengerjakan Assignment 1 BD309 dengan baik.
Bukti :
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.
S=1.2. N + 3000 . E + 1000 . (A – 21)
S= 1.2 x $150,000 = 150,000+0.2 x 150,000 = 150,000+30,000 = 180,000
3,000 x 5 = 15,000
A-21 = 30-21 = 9
1,000 x 9 = 9,000
180,000 + 15,000 + 9,000 = 195,000+9,000 = 204,000
So the salary offered is S = $204,000
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. Workout the total charge, C, for a job that takes L hours in which the cost of materials and parts is $K.
C = 80+60.L+K
b). 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.
C = 10 + 1.25x
c). 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.
H = 5.s+10.t
d). car hire company charges $C a day together with an additional $c per mile. Workout the total charge, $X, for hiring a car for d days and travelling m miles during that time.
X = C.d+c.m
Without using a calculator, evaluate
(a) 10 × (−2) = -20
(b) (−1) × (−3) = 3
(c) (−8) ÷ 2 = -4
(d) (−5) ÷ (−5) = 1
(e) 24 ÷ (−2) = -12
(f) (−10) × (−5) = 2
(g) (−6) × 5 × (−1) = 30
3. Without using a calculator, evaluate
(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. Without using a calculator, evaluate
(a) 5 × 2 − 13 = -2
(b) 5 × (1 − 4) = -15
(c) 1 − 6 × 7 = -41
(d) −5 + 6 ÷ 3 = -3
(e) 2 × (−3)2 = -12
(f) −10 + 22 = 12
(g) (−2)2 − 5 × 6 + 1 = -33
5. Simplify each of the following algebraic expressions:
(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