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How much will Zeke have at the end of 7 years if he earns 6% interest compounded quarterly on his initial $5,000 investment?

Answer :

Final answer:

Zeke will have approximately $7,964.47 at the end of 7 years.

Explanation:

To calculate the amount Zeke will have at the end of 7 years, we can use the formula for compound interest:

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

Where:

  • A is the final amount
  • P is the principal amount (initial investment)
  • r is the annual interest rate (6% or 0.06)
  • n is the number of times interest is compounded per year (quarterly, so n = 4)
  • t is the number of years (7)

Plugging in the values, we get:

A = $5,000(1 + 0.06/4)^(4*7)

Simplifying the equation, we have:

A = $5,000(1 + 0.015)^(28)

A = $5,000(1.015)^(28)

Using a calculator, we find that:

A ≈ $7,964.47

Therefore, Zeke will have approximately $7,964.47 at the end of 7 years.

Learn more about calculating compound interest here:

https://brainly.com/question/31477844

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