Question

Тимофей положил в банк некоторую сумму денег. За время хранения вклада в банке процент по нему начисляется ежегодно в размере 9%. Через год Тимофей снял со своего вклада500 рублей, и оставшаяся сумма оказалась равной половине первоначального вклада. Сколько денег окажется на счету у Тимофея через два года от момента вклада? даю 70 балов

Answer 1

Ответ:

есле кжогодно в розмере 9% значит через год Тимофей сняль со своего вклада 500руб значит через два года далжно выйти 45000 . это значит 500•9=45000

Ответ: через 2года Тимофей момента вклада 45000

Answer 2

To solve this problem, we can break it down into steps:

1. Let's assume the initial amount Timofey deposited in the bank is x rubles. 2. After one year, the bank will add 9% interest to the initial amount. So, the total amount after one year will be x + 0.09x = 1.09x rubles. 3. Timofey then withdraws 500 rubles from his account, leaving him with half of the initial deposit. Therefore, we have the equation: 1.09x - 500 = 0.5x. 4. To find the value of x, we can solve the equation: ``` 1.09x - 500 = 0.5x 0.59x = 500 x = 500 / 0.59 x ≈ 847.46 ``` So, the initial deposit was approximately 847.46 rubles. 5. Now, we need to calculate the amount of money Timofey will have in his account after two years. We can use the formula A = P(1 + r)^n, where: - A is the final amount - P is the principal amount (initial deposit) - r is the annual interest rate (9% or 0.09) - n is the number of years (2) Plugging in the values, we get: ``` A = 847.46(1 + 0.09)^2 A ≈ 847.46(1.09)^2 A ≈ 847.46(1.1881) A ≈ 1007.95 ``` Therefore, Timofey will have approximately 1007.95 rubles in his account after two years from the moment of the deposit.

Please note that the calculations are approximate due to rounding.