Apps. and Interpretation for IBDP Maths Ebook 1 | Seite 372

Your Practice Set – Applications and Interpretation for IBDP Mathematics
26.4 (a) $10800
(b) $35200
(c) p � 144
Exercise 27
27.1 (a) (i) $16300
(ii) $2350000
(iii) $448000
(b) (i) 102 months
(ii) $2135000
(iii) $235000
(c) The option 1 is better
(d) The option 2 is better
27.2 (a) (i) $891
(ii) $2080
(b) (i) 56 months
(ii) $4800
(c) The option 2 is better
(d) The option 1 is better
(e) r � 13.2
27.3 (a) (i) $91.9
(ii) $1030
(b) (i) 96 months
(ii) $986
(iii) The amount of interest paid
in option 2 is less than that
in option 1
(c) (i) 78 months
(ii) 18 months
27.4 (a) (i) R1 � 3000
(ii) R2 � 3060
(iii) The difference
between the total
amounts to be paid for
the version 1 and the
version 2
(iv) Version 1
(b) (i) R3 � 253
(ii)
(iii)
Chapter 10
Exercise 28
28.1 (a) ( �7, � 24, 0)
The amount of
interest paid in
version 3
The version 3 will
have the smaller total
amount to be paid
(b) (i) ( �7, � 24, n)
(ii) n � 60
28.2 (a) 70
(b) (30, 55, 25)
(c) (i) (30, 55, 5)
(ii) 35
28.3 (a) ( �6,14, � 2)
(b) 41
(c) 36.9
28.4 (a) h �� 132
(b) 53.1
(c) ( � 61,116,180)
Exercise 29
29.1 (a) x� 2y� 2 � 0
(b) The x -intercept of L is � 2
The y -intercept of L is 1
(c) ( � 1, 0.5)
29.2 (a) 3x� y� 20 � 0
(b)
The x -intercept of L is
20
�
3
The y -intercept of L is � 20
(c)
1
3
29.3 (a) 3x� y�14 � 0
(b) L
1
and L
2
are parallel
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