MarillaC519508 MarillaC519508
  • 26-10-2022
  • Mathematics
contestada

$30,000 bond with 6% interest compounded semiannually , how much money after 18 years? Round the answer to the nearest cent.

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SumedhaF699041 SumedhaF699041
  • 26-10-2022

Given:

Principal amount $30000.

Rate = 6%

Number of years = 18.

The amount after 18 years is calculated as,

[tex]\begin{gathered} A=P(1+\frac{R}{100})^{nt} \\ P=30000 \\ R=6 \\ n=2\text{ ( Compunded semiannually)} \\ t=18 \\ A=30000(1+\frac{6}{2\times100})^{2\times18} \\ A=30000(1.03)^{36} \\ A=86948.35 \end{gathered}[/tex]

Answer: The total amount is $86948.35

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