Question

compound interest using formula trick​

Answer 1

Answer:

Step-by-step explanation:

The formula for compound interest is P (1 + r/n)^(nt), where P is the initial principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Let's look at an example

If an amount of $5,000 is deposited into a savings account at an annual interest rate of 5%, compounded monthly, the value of the investment after 10 years can be calculated as follows...

P = 5000.

r = 5/100 = 0.05 (decimal).

n = 12.

t = 10.

If we plug those figures into the formula, we get the following:

A = 5000 (1 + 0.05 / 12) (12 * 10) = 8235.05.

So, the investment balance after 10 years is $8,235.05.