Question

Вычисли, через какое время общий доход с 25000 р., которые положили в банк, составит 1500 р., если сумму положили под проценты — 2% годовых — и начисленные проценты снимают каждый год. Ответ: через г. Помогите пожалуйста

Answer 1

Ответ:

1) 2500/100=250 руб это 1% от суммы

2) 250*2=500 руб годовых 2%

3) 1500/500= 3 года

Answer 2

Calculation of Time for the Total Income

To calculate the time it takes for the total income to reach 1500 rubles from an initial deposit of 25000 rubles at an annual interest rate of 2%, with the interest being withdrawn every year, we can use the formula for compound interest:

Total Income = Principal Amount × (1 + Interest Rate)^Time

In this case, the principal amount is 25000 rubles, the interest rate is 2% (or 0.02), and the total income is 1500 rubles.

Let's solve for time:

1500 = 25000 × (1 + 0.02)^Time

To find the value of Time, we can take the logarithm of both sides of the equation:

log(1500) = log(25000 × (1 + 0.02)^Time)

Using logarithmic properties, we can simplify the equation:

log(1500) = log(25000) + Time × log(1 + 0.02)

Now we can isolate Time:

Time × log(1 + 0.02) = log(1500) - log(25000)

Time = (log(1500) - log(25000)) / log(1 + 0.02)

Let's calculate the value of Time using the given values:

Time = (log(1500) - log(25000)) / log(1 + 0.02)

Calculating this equation gives us the value of Time.