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Math Asked by a SnapAndSolve user · about 20 hours ago

Find the maturity value of a $15,000 investment with an interest rate of 6%, compounded quarterly for five...

10. Find the maturity value of a $15,000 investment with an interest rate of 6%, compounded quarterly for five years.
$22,127.56
$21,435.67
$23,896.21
$20,202.83

Answer

To find the maturity value of the investment, we use the formula for compound interest: A = P(1 + r/n)^(nt), where:

  1. P is the principal amount ($15,000).
  2. r is the annual interest rate (0.06).
  3. n is the number of times interest is compounded per year (4 for quarterly).
  4. t is the number of years the money is invested (5).

Plugging in the values:

A = 15000(1 + 0.06/4)^(4*5)

A = 15000(1 + 0.015)^(20)

A = 15000(1.015)^(20)

A ≈ 15000 * 1.34885

A ≈ 20232.75

The closest option to this value is $20,202.83.

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