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Deposit K1000 every year for 4years with a bank which pays 6.5%p.a.simple interest in the end of fifth year ,what will be your total investment value?
Deposit K1000 every year for 4years with a bank which pays 6.5%p.a.simple interest in the end of fifth year ,what will be your total investment value?
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ChatGPT
Jun 6, 2024
To calculate the total investment value, we need to calculate the interest earned on each deposit and then add the initial deposit to it.
The formula for calculating simple interest is:
Interest = Principal x Rate x Time
Given: Principal (P) = K1000 Rate (R) = 6.5% = 0.065 Time (T) = 1 year
For the first deposit: Interest = K1000 x 0.065 x 1 = K65 Total value after 1 year = K1000 + K65 = K1065
For the second deposit: Interest = K1000 x 0.065 x 1 = K65 Total value after 2 years = K1065 + K1000 + K65 = K2130
For the third deposit: Interest = K1000 x 0.065 x 1 = K65 Total value after 3 years = K2130 + K1000 + K65 = K3195
For the fourth deposit: Interest = K1000 x 0.065 x 1 = K65 Total value after 4 years = K3195 + K1000 + K65 = K4260
At the end of the fifth year, the total investment value will be the sum of all the deposits and interest earned: Total investment value = K1000 + K1065 + K2130 + K3195 + K4260 = K11650
Therefore, the total investment value at the end of the fifth year will be K11650.
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Google Gemini AI
Jun 6, 2024
Step 1: Calculate the simple interest earned each year
Simple interest = Principal - Interest rate - Time
For each deposit of K1000: Interest earned in 5 years = K1000 - 0.065 - 5 = K325
Step 2: Calculate the total interest earned
Total interest earned = Interest earned per deposit - Number of deposits Total interest earned = K325 - 4 = K1300
Step 3: Calculate the total investment value
Total investment value = Principal + Total interest earned Total investment value = K1000 - 4 + K1300 = K5300
Therefore, the total investment value after depositing K1000 every year for 4 years at 6.5% p.a. simple interest, compounded in the end of fifth year, will be K5300.