Mufy fundamental maths 1 study area 3 pg 41 3 a n 8 2

MUFY FUNDAMENTAL MATHS 1 STUDY AREA 3
pg. 41
3. (a) n = 8; 2 years (b) n = 18; 4
2
1
years (c) n = 26; 6 years and 6 months
(d) n = 64; 16 years (e) n = 44; 11 years (f) n = 21; 5 years and 1 quarter
4. (a) (i) n = 96 (ii) $15,960.32 (b) (i) n = 81 (ii) $10,476.05
(c) (i) n = 123 (ii) $62,362.62 (d) (i) n = 520 (ii) $79,259.20
(e) (i) n = 104 (ii) $9934.80 (f) (i) n = 52 (ii) $99,734.12
5. (a) n = 10; 10 months (b) n = 22; 1 year and 10 months
(c) n = 9; 9 months (d) n = 51; 1 year and 25 fortnights
(e) n = 72; 2 years and 20 fortnights (f) n = 28; 1 year and 2 fortnights
(g) n = 7; 1 year and 3 quarters (h) n = 11; 2 years and 3 quarters
6. (a) 1
2
1
years (b) 2 years and 1 month (c) 1 year and 22 fortnights
(d) 5 years and 22 fortnights (e) 3 years and 1 quarter
Exercise 3.3.5
1. (a) (i) 48 months-4 years, (ii) $5934.75
(b) (i) 72 months – 6 years, (ii) $3040.32
2. (a) (i) 130 fortnights, (ii) $22 832.68
(b) (i) 337.99 ≈ 334 fortnights (ii) $6785.70
3. (a) $1755.68 (b) 596.20 (c) 2491. 36 (d) 3799.28
4. (a) (i) $ 22523.82 (ii) 44+ 36 =80 months (iii) $3752.60
(b) (i) $42777.25 (ii) 64 + 20 = 84 quarters, (iii) $14510.80
Exercise 3.3.6
1. (a)
Quarter Balance at start
of quarter ($)
Interest at 1.5%
per quarter
Total owing at
end of quarter
Repayme
nt ($)
Balance after
repayment
1 8000 120 8120 4090.22 4029.78
2 4029.78 60.45 4090.22 4090.22 0
(b)
Month Balance at start
of month ($)
Interest at
0.5% per
month
Total owing
at end of
month ($)
Repayment
($)
Balance after
repayment
($)
1 8000 40 8040 1363.41 6676.59
2 6676.59 33.38 6709.97 1363.41 5346.56
3 5346.56 26.73 5373.29 1363.41 4009.88
4 4009.88 20.05 4029.93 1363.41 2666.52
5 2666.52 13.33 2679.85 1363.41 1316.44
6 1316.44 6.58 1323.02 1323.02 0
Last repayment is $1323.02

MUFY FUNDAMENTAL MATHS 1 STUDY AREA 3
pg. 42
3. (a)
year Balance at start
of year ($)
Interest at
7% per year
Total owing at
end of year ($)
Repayment ($) Balance after
repayment ($)
1 4000 280 4280 2212.37 2067.63
2 2067.63 144.73 2212.37 2212.37 0
(b)
Half-
year
Balance at
start of half-
year ($)
Interest at
3.5% per
half-year
Total owing at
end of half-
year ($)
Repayment
($)
Balance after
repayment
($)
1 4000 140 4140 1106.19 3033.81
2 3033.81 106.18 3139.99 1106.19 2033.80
3 2033.80 71.18 2104.98 1106.19 998.79
4 998.79 34.96 1033.75 1033.75 0
Last repayment is $1033.75
4. (a)
fortnight Balance at
start of
fortnight ($)
Interest at
0.28% per
fortnight
Total owing at
end of
fortnight ($)
Repayment
($)
Balance after
repayment
($)
1 3400 9.52 3409.52 1139.69 2269.83
2 2269.83 6.36 2276.19 1139.69 1136.50
3 1136.50 3.18 1139.69 1139.69 0
(b)
Week Balance at
start of week
($)
Interest at
0.14% per
week
Total owing at
end of week
($)
Repayment
($)
Balance after
repayment
($)
1 3400 4.76 3404.76 569.85 2834.91
2 2834.91 3.97 2838.88 569.85 2269.03
3 2269.03 3.18 2272.21 569.85 1702.36
4 1702.36 2.38 1704.74 569.85 1134.89
5 1134.89 1.59 1136.48 569.85 566.63
6 566.63 0.79 567.42 567.42 0
Last repayment is $567.42
5. (a) 8 years; A
95
= $223.38 (b) 7 years 25 fortnights; A
206
= $129.70
Exercise 3.3.7
1. (a) $16,058.24 (b) (i) 8 years 7 months (ii) $98.26; $20,410.14
(c) (i) 9 years 3 months (ii) $650.10; $26,633.50
2. (a) $28,762.80 (b) (i) 11 years 3 quarters (ii) $1241.08; $40,457.48
(c) (i) 13 years (ii) $1585.79; $53,869.19

MUFY FUNDAMENTAL MATHS 1 STUDY AREA 3
pg. 43
3. (a) $2608.73 (b) (i) 4 years 16 fortnights (ii) $126.64; $3104.75
(c) (i) 4 years 20 fortnights (ii) $99.68; $3816.55
Exercise 3.3.8
1. $595.83 2. $339.58 3. $32 775 4 a . $145 b . Jodie made a loss of $220.
5 a . $312.50 b . Profit = $1750 6. a . $1260 b. $6960
Exercise 3.3.9
1
a $2030.50 b no; $1031.02 2 . a $3016.56 b no; $1521.21, 3 .$20 293.30
4 a $509.97 b $6097.98 c $97.98 5 . 58 months, 6 . 21 quarters 7 . $474.81
8 a $692.50 b $73 213.07 c 153 months d $684.73
9 a $278 394.49 b 6.57%
10 . 266 months 11 . 5.45% 12 . $ 26.23.97 13 . $535714
14. (a) $1000 (b) $687507.52 (c) 68.75% (d) 88.59% (e) In option 1 gives, though less than
the option 2, the fund will last forever. In option 2 the fund will exhaust ( finish up) in 25 years
and he will have no money if he lives for more than 25 years.
15 (i) 6.0% (ii) 5.8%