Ezra invested $1 at 5% interest compounded annually. Which of the following gives the total value, in dollars, of the investment after 4 years?
Question
Ezra invested $1 at 5% interest compounded annually. Which of the following gives the total value, in dollars, of the investment after 4 years?
Solution
The formula for compound interest is A = P(1 + r/n)^(nt), where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (in decimal).
- n is the number of times that interest is compounded per year.
- t is the time the money is invested for in years.
In this case, Ezra invested 1, r = 5/100 = 0.05 (since the rate is given in percentage), n = 1 (since the interest is compounded annually), and t = 4.
Substituting these values into the formula, we get:
A = 1(1 + 0.05/1)^(1*4) A = 1(1 + 0.05)^4 A = 1(1.05)^4 A = 1.21550625
So, the total value of the investment after 4 years is approximately $1.22 (rounded to the nearest cent).
Similar Questions
If you invest $1,000 at a 6% annual interest rate, how much will it be worth in 5 years with annual compounding?a.$1,338.22b.$1,060c.$1,300d.$1,500
What is the present value of an investment that pays you $1,200 in 5 years’ time where annual interest rates are 8% compounded annually?
You invested $1,650 in an account that pays 5 percent simple interest. How much morecould you have earned over 20 years if the interest had compounded annually?
If $2000 is invested at an interest rate of 9% per annum, compounded annually, what will the value of the investment be after 6 years?
If 10000 is invested at x% annual interest for n years, which of the following represents the amount of interest that will earned in n years compounded annually?
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.