Page 51 - Hybrid PBD Matematik TG3_Edisi Guru

Matematik Tingkatan 3 Bab 3
4. Hitung jumlah simpanan yang melibatkan faedah mudah dan faedah kompaun. SP 3.1.2 TP3
Calculate the total savings involving simple interest and compound interest.
(a) Hitung jumlah simpanan yang (b) Hitung nilai matang bagi
akan diperoleh selepas 2 tahun simpanan RM15 000 untuk 5 Tip Penting
dengan simpanan asal RM8 000 tahun, dengan kadar faedah 3.5% • Bagi simpanan yang
dan kadar faedah mudah tahunan setahun, dikompaun setiap bulan. memberi faedah mudah,
2%. Calculate the matured value for RM15 000 For savings which give simple
Calculate the total savings after 2 years savings for 5 years, with the interest rate interest,
with the initial savings of RM8 000 and the 3.5% per annum, compounded monthly. I = Prt
yearly simple interest rate of 2%.
Nilai matang dengan keadaan/ where
I = faedah/ interest
Jumlah simpanan Matured value P = prinsipal/ principal
Total savings 0.035 12(5) r = kadar faedah/ interest
1
= prinsipal + faedah = 15 000 1 + 12 2 rate
principal + interest = RM17 864.14 t = masa/ time
2
1
2
= 8 000 + 8 000 × 100 × 2 • Bagi simpanan yang
= RM8 320 memberi faedah
kompaun,
For savings which give
(c) Suraya membuat simpanan (d) Puan Zubaidah membuat compound interest,
sebanyak RM5 000 di suatu bank simpanan sebanyak RM20 000 MV = P 1 + r 2 nt
1
dengan kadar faedah mudah dalam suatu akaun simpanan n
2.5% setahun. Hitung jumlah tetap dengan kadar faedah 4% dengan keadaan/ where
simpanannya selepas 10 bulan. setahun, dikompaun setiap MV = nilai matang
Suraya makes a savings of RM5 000 in a tahun. Hitung nilai matang dalam matured value
bank with the simple interest rate 2.5% per akaun itu selepas 12 tahun. P = prinsipal
annum. Calculate her total savings after 10 Puan Zubaidah makes a savings of principal
months. r = kadar faedah
RM20 000 in a fixed deposit account tahunan
with the interest rate 4% per annum,
yearly interest rate
Jumlah simpanan compounded yearly. Calculate the matured n = bilangan kali faedah
Total savings value in the account after 12 years. dikompaun setahun
= prinsipal + faedah number of periods the
principal + interest Nilai matang interest is compounded
per year
2.5
1
= 5 000 + 5 000 × 100 × 10 2 Matured value 0.04 2 1(12) t = tempoh dalam
1
12
= 20 000 1 +
tahun
= RM5 104.17 1 term in years
= RM32 020.64
5. Selesaikan masalah berikut. SP 3.1.2 TP4
Solve the following problems.
(a) Su Lin menyimpan RM6 000 di sebuah bank dengan kadar faedah mudah 3.2% setahun. Hitung jumlah
simpanan Su Lin selepas dia menyimpan selama
Su Lin deposits RM6 000 in a bank with simple interest rate of 3.2% per annum. Calculate the total amount of Su Lin’s savings after
she has saved for
(i) 3 tahun/ 3 years (ii) 4 tahun/ 4 years
(i) Jumlah simpanan/ Total savings (ii) Jumlah simpanan/ Total savings
= prinsipal + faedah / principal + interest = prinsipal + faedah / principal + interest
3.2
3.2
2
1
2
1
= 6 000 + 6 000 × 100 × 3 = 6 000 + 6 000 × 100 × 4
= RM6 576 = RM6 768
Semakin lama tempoh simpanan (di bank), semakin tinggi jumlah faedah yang diperoleh.
Dengan ini, jumlah simpanan juga bertambah .
The longer the savings period (at the bank), the higher the total interest earned. With this, the total savings also
increases .

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