For a loan of $2,000 with a 4% annual interest rate compounded annually for 3 years, what is the amount of interest?*$249.73$250$249.60$240
Question
For a loan of $2,000 with a 4% annual interest rate compounded annually for 3 years, what is the amount of interest?
Options:
- $249.73
- $250
- $249.60
- $240
Solution
To calculate the amount of interest for a loan compounded annually, you can use the formula for compound interest which is A = P(1 + r/n)^(nt).
Here, P = principal amount (the initial amount of money) = $2000 r = annual interest rate (in decimal) = 4/100 = 0.04 n = number of times that interest is compounded per year = 1 (since it's compounded annually) t = the time the money is invested for in years = 3
Substitute these values into the formula:
A = 2000(1 + 0.04/1)^(1*3) A = 2000(1 + 0.04)^3 A = 2000 * 1.04^3 A = 2000 * 1.124864 A = $2249.73
The total amount after 3 years is $2249.73.
To find the interest, subtract the initial principal from the total amount:
Interest = A - P Interest = 2000 Interest = $249.73
So, the amount of interest for a loan of 249.73. Therefore, the correct answer is $249.73.
Similar Questions
At what rate per cent will a sum of ` 2000 amount to ` 2880 in 2 years if the interest iscompounded annually?
How much was the interest of an investment with a future value of $36,920 and interest at 4% compounded monthly for a period of 2.5 years?
The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much will the loan be after 5 years?
Find the amount of Rs.4000 for 3 years compounded annually, the rate of interest being 5% for the first 2 years and 10% for the next one year
In what time will $3,90,625 amount to $4,56,976 at 4% compound interest? Ops: A. 4 years B. 1 year C. 3 years D. 2 years
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.