
В банк положили 200000 р. какую сумму должны получить через 3 месяца, если по истечении каждого
месяца банк начисляет 9 % дохода?

Ответы на вопрос







Calculation of the Amount Received after 3 Months
To calculate the amount that will be received after 3 months, we need to consider the monthly interest rate of 9% that the bank applies.
Let's break down the calculation step by step:
1. Start with the initial deposit of 200,000 rubles. 2. After the first month, the bank will apply a 9% interest rate to the initial deposit. This means that the amount after the first month will be 200,000 rubles + 9% of 200,000 rubles. 3. After the second month, the bank will again apply a 9% interest rate to the new amount. This means that the amount after the second month will be the amount after the first month + 9% of the amount after the first month. 4. Finally, after the third month, the bank will apply a 9% interest rate to the amount obtained after the second month. This will give us the final amount after 3 months.
Let's calculate the amount step by step:
1. Initial deposit: 200,000 rubles. 2. Amount after the first month: 200,000 rubles + 9% of 200,000 rubles. 3. Amount after the second month: Amount after the first month + 9% of the amount after the first month. 4. Amount after the third month: Amount after the second month + 9% of the amount after the second month.
Now, let's calculate the amount received after 3 months:
1. Amount after the first month: 200,000 rubles + 9% of 200,000 rubles = 200,000 rubles + (9/100) * 200,000 rubles = 200,000 rubles + 18,000 rubles = 218,000 rubles. 2. Amount after the second month: 218,000 rubles + 9% of 218,000 rubles = 218,000 rubles + (9/100) * 218,000 rubles = 218,000 rubles + 19,620 rubles = 237,620 rubles. 3. Amount after the third month: 237,620 rubles + 9% of 237,620 rubles = 237,620 rubles + (9/100) * 237,620 rubles = 237,620 rubles + 21,386.8 rubles = 259,006.8 rubles.
Therefore, the amount that will be received after 3 months is 259,006.8 rubles.
Please note that the above calculation assumes that the interest is compounded monthly. If the interest is compounded differently, the calculation may vary.


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