Regular Compound Interest Formula

Question 3

An amount of $3000.00 is deposited in a bank paying an annual interest rate of 5 % compounded daily.

(a) Find the balance after 4 years.
(b) Find the interest gained in 4 years.

Solution

Use the regular compound interest formula
A = P (1 + r/n ) nt with P = 3000, r = 5/100 = 0.05,
n = 365, and t = 4 ( assume no leap years ).

(a) Therefore,

Solution to Question 3
So, the balance after 4 years is approximately $3,664.16.

(b) The interest gained after 4 years = $ (3664.16 - 3000.00) = $664.16.



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