Question

Вклад положен в банк, который начисляет 5% годовых. Во сколько раз увеличится вклад через 2 года?

Answer 1

Ежегодно вклад увеличивается в 1.05 раз, значит через два года он увеличится в 1.05*1.05=1.1025 раз

Answer 2

Calculating Deposit Growth Over 2 Years

To calculate the growth of the deposit over 2 years with a 5% annual interest rate, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where: - A = the amount of money accumulated after n years, including interest. - P = the principal amount (initial deposit). - r = the annual interest rate (in decimal). - n = the number of times that interest is compounded per year. - t = the time the money is invested for in years.

In this case, the principal amount is the initial deposit, the annual interest rate is 5%, the interest is compounded annually, and the time is 2 years.

Calculation

Using the given information: - P = the initial deposit - r = 5% or 0.05 - n = 1 (compounded annually) - t = 2 years

We can calculate the amount of money accumulated after 2 years using the formula.

A = P(1 + r/n)^(nt)

A = P(1 + 0.05/1)^(1*2)

A = P(1.05)^2

Result

The deposit will increase by a factor of 1.1025 after 2 years, which means it will grow by approximately 10.25%.