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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?

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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 1at51 at 5% interest compounded annually for 4 years. So, P = 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).

This problem has been solved

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