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Math Asked by a SnapAndSolve user · about 20 hours ago

Find the future amount at the end of 4 years for an investment of $100,000 that earns 16% at the end of...

25. Find the future amount at the end of 4 years for an investment of $100,000 that earns 16% at the end of each year. Round to the nearest cent.
$172,123.54
$121,965.99
$191,289.50
$181,063.94

Answer

To find the future amount, use the formula for compound interest: A = P(1 + r)^n, where:

  1. P is the principal amount ($100,000)
  2. r is the annual interest rate (16% or 0.16)
  3. n is the number of years (4)

Calculate:

A = 100,000(1 + 0.16)^4 = 100,000(1.16)^4 = 100,000 * 1.8024 = 180,240

Rounding to the nearest cent, the future amount is $180,240.00. The closest option is $181,063.94.

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