Question

Перший внесок до банку склав 10 золотих. Банк щорічно виплачує 15% річних. Скільки грошей буде на рахунку через 2 роки? ( Додаткове завдання: через скільки років на рахунку буде 100 золотих?)

Answer 1

10:%15=0,6 10+0.6=10.6 10.6*2=21.2

Answer 2

Calculation of the Amount in the Bank Account after 2 Years

To calculate the amount of money that will be in the bank account after 2 years, we need to consider the initial deposit of 10 gold coins and the annual interest rate of 15%.

The formula to calculate the amount of money after a certain number of years with compound interest is:

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

Where: - A is the final amount - P is the principal amount (initial deposit) - r is the annual interest rate (expressed as a decimal) - n is the number of times that interest is compounded per year - t is the number of years

In this case, the principal amount (P) is 10 gold coins, the annual interest rate (r) is 15% (or 0.15 as a decimal), and the number of times that interest is compounded per year (n) is not specified. We will assume it is compounded once per year.

Using the formula, we can calculate the amount of money in the bank account after 2 years:

A = 10(1 + 0.15/1)^(1*2) A = 10(1 + 0.15)^2 A = 10(1.15)^2 A ≈ 13.23

Therefore, the amount of money in the bank account after 2 years will be approximately 13.23 gold coins.

Calculation of the Number of Years to Reach 100 Gold Coins

To calculate the number of years it will take for the bank account to reach 100 gold coins, we need to use the same formula as before and solve for t.

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

In this case, the principal amount (P) is 10 gold coins, the annual interest rate (r) is 15% (or 0.15 as a decimal), and the final amount (A) is 100 gold coins.

Using the formula, we can solve for t:

100 = 10(1 + 0.15/1)^(1*t) 10 = (1.15)^t t ≈ 7.97

Therefore, it will take approximately 7.97 years for the bank account to reach 100 gold coins.

Please note that these calculations assume that the interest is compounded once per year and that there are no additional deposits or withdrawals made during the specified time period.