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https://idu.raharja.ac.id/pluginfile.php/67664/mod_assign/introattachment/0/Soal%20Business%20Mathematics%201.docx?forcedownload=1
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Jawab:
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=1,2.150.000+3000.5+1000(30-21)
S=12.15000+15000+9000
S=180.000+15000+9000
S=195000+9000=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. Work out the total charge, C, for a job that takes L hours in which the cost of materials and parts is $K.
C=80+ 60L + 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+ x/0,8
c) 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.
H= 5a+ 10b
d) 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.
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)= 50
(f) (−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
3. Without using a calculator, evaluate
(a) 5 × 2 − 13= -3
(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
( j)
4. 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