MUFYFUNDAMENTAL MATHS1STUDYAREA3pg. 413.(a)n = 8; 2 years (b) n = 18; 421years (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 quarter4.(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) $99,734.125.(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 quarters6.(a)121years(b) 2 years and 1 month(c) 1 year and 22 fortnights(d)5 years and 22 fortnights(e) 3 years and 1 quarterExercise 3.3.51.(a)(i)48 months-4 years, (ii)$5934.75(b)(i)72 months–6 years, (ii) $3040.322.(a)(i) 130 fortnights,(ii) $22 832.68(b)(i) 337.99 ≈ 334 fortnights(ii) $6785.703.(a)$1755.68(b)596.20(c)2491. 36(d)3799.284.(a)(i)$ 22523.82(ii)44+ 36 =80 months(iii)$3752.60(b)(i)$42777.25(ii)64 + 20 = 84 quarters,(iii) $14510.80Exercise 3.3.61.(a)QuarterBalance at startof quarter ($)Interest at 1.5%per quarterTotal owing atend of quarterRepayment ($)Balance afterrepayment1800012081204090.224029.7824029.7860.454090.224090.220(b)MonthBalance at startof month ($)Interest at0.5% permonthTotal owingat end ofmonth ($)Repayment($)Balance afterrepayment($)180004080401363.416676.5926676.5933.386709.971363.415346.5635346.5626.735373.291363.414009.8844009.8820.054029.931363.412666.5252666.5213.332679.851363.411316.4461316.446.581323.021323.020Last repayment is $1323.02

MUFYFUNDAMENTAL MATHS1STUDYAREA3pg. 423.(a)yearBalance at startof year ($)Interest at7% per yearTotal owing atend of year ($)Repayment ($)Balance afterrepayment ($)1400028042802212.372067.6322067.63144.732212.372212.370(b)Half-yearBalance atstart of half-year ($)Interest at3.5% perhalf-yearTotal owing atend of half-year ($)Repayment($)Balance afterrepayment($)1400014041401106.193033.8123033.81106.183139.991106.192033.8032033.8071.182104.981106.19998.794998.7934.961033.751033.750Last repayment is $1033.754.(a)fortnightBalance atstart offortnight ($)Interest at0.28% perfortnightTotal owing atend offortnight ($)Repayment($)Balance afterrepayment($)134009.523409.521139.692269.8322269.836.362276.191139.691136.5031136.503.181139.691139.690(b)WeekBalance atstart of week($)Interest at0.14% perweekTotal owing atend of week($)Repayment($)Balance afterrepayment($)134004.763404.76569.852834.9122834.913.972838.88569.852269.0332269.033.182272.21569.851702.3641702.362.381704.74569.851134.8951134.891.591136.48569.85566.636566.630.79567.42567.420Last repayment is $567.425.(a)8 years; A95= $223.38(b)7 years 25 fortnights; A206= $129.70Exercise 3.3.71.(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; $26,633.502.(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

MUFYFUNDAMENTAL MATHS1STUDYAREA3pg. 433.(a)$2608.73(b) (i) 4 years 16 fortnights (ii)$126.64; $3104.75(c)(i)4 years 20 fortnights (ii)$99.68; $3816.55Exercise 3.3.81.$595.832.$339.583.$32 7754a. $145b. Jodie made a loss of $220.5a. $312.50b. Profit = $17506.a. $1260b.$6960Exercise 3.3.91a$2030.50bno; $1031.022.a$3016.56bno; $1521.21,3.$20 293.304a$509.97b$6097.98c$97.985. 58 months,6.21 quarters7. $474.818a$692.50b$73 213.07c153 monthsd$684.739a$278 394.49b6.57%10.266 months11.5.45%12.$ 26.23.9713.$53571414.(a)$1000(b)$687507.52(c)68.75%(d)88.59%(e)In option 1 gives, though less thanthe option 2, the fund will last forever. In option 2 the fund will exhaust ( finish up) in 25 yearsand he will have no money if he lives for more than 25 years.15(i)6.0%(ii)5.8%

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