Answer:
(a)$2248.8
(b) 14, 28, 16 and 7 candies
(c) $79
Step-by-step explanation:
(a) the model can be represented by the nth term of an arithmetic progression
L = a + (n-1)d
L= the amount in his account after 6 month; $12484
a= the amount in his account six month before; $1240
n = 6, being the sixth month of his deposit
d = the amount deposited monthly
12484 = 1240 + 5d:
12484-1240 = 5d
5d= 11244
d = 2248.8
(b) let the 1st box contain = x
2nd = 2x; 3rd = x + 2, 4th = 1/4(2x)
Hence; x + 2x + x +2 + 1/4(2x) = 65
4x + x/2 = 65-2
9x/2 = 63 ; 9x = 126. ; x = 14
(c) Each player gets a racket (r) and a can (c) of balls
The 5 players get in all 5 racket + 5 cans since Simon is a member
Therefore, 5r + 5c = 415
But each can cost $4,
5r + 5* 4 = 415; 6r = 415-20
5r = 395 ; r = 395/5
r = $ 79
The racket cost $79 each.
