LochlanE518841 LochlanE518841
  • 30-10-2022
  • Mathematics
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If $14,000 is invested at 8% interest compounded quarterly, find the interest earned in 12 years.

If 14000 is invested at 8 interest compounded quarterly find the interest earned in 12 years class=

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IzzabelleM127075 IzzabelleM127075
  • 30-10-2022

Using the compound interest formula:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where:

P = Principal = $14000

r = interest rate = 8% = 0.08

t = time = 12

n = Number of times interest is compounded = 4

Therefore:

[tex]\begin{gathered} A=14000(1+\frac{0.08}{4})^{4\cdot12} \\ A=36218.99 \end{gathered}[/tex]

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