Question

Банк начисляет на вклад ежегодно 8%. Сколько денег будет на счету у клиента через 2 года, если он положил на вклад 5000 руб? А если по истеченю первого года он пополнил вклад на 1500 рублей? ПОЖАЛУЙСТА С ПОЯСНИТЕЛЬНЫМ ОТВЕТОМ

Answer 1

1.
1)5000:100=50(руб)-составляет 1%
2)50*8=400(руб)-будет начислено по истечению первого года
3)5000+400=5400(руб)-после первого года
4) 5400:100=54(руб)-составляет 1%
5)54*8=432(руб)-будет начислено по истечению второго года
6)5400+432=5832(руб)
Ответ: 582 рубля будет через 2 года если положить 5000 рублей на вклад
2.
1)5400+1500=6900(руб)-будет на счету по истечению первого года
2)6900:100=69(руб)-составляет 1%
3)69*8=552(руб)-будет начислено по истечению двух лет
4)6900+552=7452(руб)
Ответ: 7452 рубля будет на счету по истечению двух лет если клиент по истечению первого года пополнит вклад на 1500 рублей  

Answer 2

Calculation of the Account Balance

To calculate the account balance after 2 years, we need to consider the annual interest rate of 8% and the initial deposit of 5000 rubles.

Step 1: Calculate the interest earned in the first year. The interest is calculated as a percentage of the initial deposit.

Interest earned in the first year = 8% of 5000 rubles = 0.08 * 5000 rubles = 400 rubles.

Step 2: Add the interest earned in the first year to the initial deposit to get the total balance at the end of the first year.

Total balance at the end of the first year = Initial deposit + Interest earned in the first year = 5000 rubles + 400 rubles = 5400 rubles.

Step 3: Calculate the interest earned in the second year. The interest is calculated as a percentage of the total balance at the end of the first year.

Interest earned in the second year = 8% of 5400 rubles = 0.08 * 5400 rubles = 432 rubles.

Step 4: Add the interest earned in the second year to the total balance at the end of the first year to get the final account balance after 2 years.

Final account balance after 2 years = Total balance at the end of the first year + Interest earned in the second year = 5400 rubles + 432 rubles = 5832 rubles.

Therefore, if the client deposits 5000 rubles and the bank offers an annual interest rate of 8%, the account balance will be 5832 rubles after 2 years.

Additional Deposit after the First Year

If the client decides to add 1500 rubles to the deposit after the first year, we need to recalculate the account balance.

Step 1: Calculate the interest earned in the first year as before, which is 400 rubles.

Step 2: Add the interest earned in the first year to the initial deposit to get the total balance at the end of the first year, which is 5400 rubles.

Step 3: Add the additional deposit of 1500 rubles to the total balance at the end of the first year.

Total balance after adding the additional deposit = Total balance at the end of the first year + Additional deposit = 5400 rubles + 1500 rubles = 6900 rubles.

Step 4: Calculate the interest earned in the second year. The interest is calculated as a percentage of the total balance after adding the additional deposit.

Interest earned in the second year = 8% of 6900 rubles = 0.08 * 6900 rubles = 552 rubles.

Step 5: Add the interest earned in the second year to the total balance after adding the additional deposit to get the final account balance after 2 years.

Final account balance after 2 years with the additional deposit = Total balance after adding the additional deposit + Interest earned in the second year = 6900 rubles + 552 rubles = 7452 rubles.

Therefore, if the client deposits 5000 rubles initially, and after the first year adds 1500 rubles, the account balance will be 7452 rubles after 2 years.

Please note that the calculations assume that the interest is compounded annually and there are no other factors affecting the account balance.