54.5k views
0 votes
Min-jun deposited $125 in a bank account earning 19% interest,

compounded annually. How much interest will he earn in 48 months?

User Hewstone
by
7.7k points

1 Answer

3 votes

Answer: $165.23

Explanation:

To solve the problem, we can use the formula for compound interest:

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

where A is the amount, P is the principal (initial amount), r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $125, r = 0.19 (since the interest rate is 19%), n = 1 (since the interest is compounded annually), and t = 48/12 = 4 (since the time is given in months but we need to convert it to years). Plugging in these values, we get:

A = 125 (1 + 0.19/1)^(1*4)

A = 125 (1.19)^4

A ≈ $290.23

So, the total amount after 48 months is approximately $290.23. To find the interest earned, we subtract the principal from the amount:

Interest = Amount - Principal

Interest = $290.23 - $125

Interest = $165.23

Therefore, Min-jun will earn $165.23 in interest in 48 months.

User Igor Kulagin
by
8.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories