0000:00:00:00:00Start4Number 4ExplanationBima saves money in a bank amounting to Rp15,000,000.00\text{Rp}15,000,000.00Rp15,000,000.00 with an interest of 12%12\%12% per year. After some years, Bima withdraws all his savings amounting to Rp16,500,000.00\text{Rp}16,500,000.00Rp16,500,000.00. Thus, the duration Bima saved his money is ....777 months888 months999 months101010 months121212 monthsExplanationGiven: Initial capital (M0M_0M0) = Rp15,000,000.00\text{Rp}15,000,000.00Rp15,000,000.00 Final capital (MtM_tMt) = Rp16,500,000.00\text{Rp}16,500,000.00Rp16,500,000.00 Interest rate (iii) = 12%12\%12% per year First, we calculate the value increase (interest earned): Interest=Mt−M0\text{Interest} = M_t - M_0Interest=Mt−M0Interest=16,500,000−15,000,000\text{Interest} = 16,500,000 - 15,000,000Interest=16,500,000−15,000,000Interest=1,500,000\text{Interest} = 1,500,000Interest=1,500,000 The interest rate is 12%12\%12% per year. Thus, the duration Bima saved (ttt) can be calculated as: t=InterestM0×it = \frac{\text{Interest}}{M_0 \times i}t=M0×iInterestt=1,500,00015,000,000×12100t = \frac{1,500,000}{15,000,000 \times \frac{12}{100}}t=15,000,000×100121,500,000t=1,500,0001,800,000t = \frac{1,500,000}{1,800,000}t=1,800,0001,500,000t=1518=56 yeart = \frac{15}{18} = \frac{5}{6} \text{ year}t=1815=65 year Converting to months: t=56×12 monthst = \frac{5}{6} \times 12 \text{ months}t=65×12 monthst=5×2=10 monthst = 5 \times 2 = 10 \text{ months}t=5×2=10 months Thus, the duration Bima saved is 101010 months.
4Number 4ExplanationBima saves money in a bank amounting to Rp15,000,000.00\text{Rp}15,000,000.00Rp15,000,000.00 with an interest of 12%12\%12% per year. After some years, Bima withdraws all his savings amounting to Rp16,500,000.00\text{Rp}16,500,000.00Rp16,500,000.00. Thus, the duration Bima saved his money is ....777 months888 months999 months101010 months121212 monthsExplanationGiven: Initial capital (M0M_0M0) = Rp15,000,000.00\text{Rp}15,000,000.00Rp15,000,000.00 Final capital (MtM_tMt) = Rp16,500,000.00\text{Rp}16,500,000.00Rp16,500,000.00 Interest rate (iii) = 12%12\%12% per year First, we calculate the value increase (interest earned): Interest=Mt−M0\text{Interest} = M_t - M_0Interest=Mt−M0Interest=16,500,000−15,000,000\text{Interest} = 16,500,000 - 15,000,000Interest=16,500,000−15,000,000Interest=1,500,000\text{Interest} = 1,500,000Interest=1,500,000 The interest rate is 12%12\%12% per year. Thus, the duration Bima saved (ttt) can be calculated as: t=InterestM0×it = \frac{\text{Interest}}{M_0 \times i}t=M0×iInterestt=1,500,00015,000,000×12100t = \frac{1,500,000}{15,000,000 \times \frac{12}{100}}t=15,000,000×100121,500,000t=1,500,0001,800,000t = \frac{1,500,000}{1,800,000}t=1,800,0001,500,000t=1518=56 yeart = \frac{15}{18} = \frac{5}{6} \text{ year}t=1815=65 year Converting to months: t=56×12 monthst = \frac{5}{6} \times 12 \text{ months}t=65×12 monthst=5×2=10 monthst = 5 \times 2 = 10 \text{ months}t=5×2=10 months Thus, the duration Bima saved is 101010 months.
